Tag: Mathematics Analysis

[Solved] Can this be done in 4 hours? 1 page and chart..5015wk4

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Executive Solution Overview

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) 1 page – 2 years ago **files (2)** – ## cf_unit_4_dataset1.jasp – ## wk4ass5015.docx **## cf_unit_4_dataset1.jasp** ## META-INF/MANIFEST.MF Manifest-Version: 1.0 Created-By: JASP 0.16.3 Data-Archive-Version: …

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Assignment Prompt & Instructions

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)

1 page

– 2 years ago

**files (2)**

– ## cf_unit_4_dataset1.jasp

– ## wk4ass5015.docx

**## cf_unit_4_dataset1.jasp**

## META-INF/MANIFEST.MF

Manifest-Version: 1.0
Created-By: JASP 0.16.3
Data-Archive-Version: 1.0.2
JASP-Archive-Version: 3.1

## metadata.json

{
"computedColumns" : [],
"dataFilePath" : "C:/Users/swowr/OneDrive/Desktop/SWK5015/SWK5015 unit 4 dataset.csv",
"dataFileReadOnly" : false,
"dataFileTimestamp" : 1664375731,
"dataSet" :
{
"columnCount" : 2,
"emptyValuesMap" :
{
"Length of stay in nursing home" : {},
"Score on GDS" : {}
},
"fields" :
[
{
"measureType" : "Continuous",
"name" : "Length of stay in nursing home",
"type" : "number"
},
{
"measureType" : "Continuous",
"name" : "Score on GDS",
"type" : "number"
}
],
"filterVector" :
[
true,
true,
true,
true,
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true,
true,
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],
"rowCount" : 22
},
"emptyValues" :
[
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"nan",
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"filterConstructorJSON" : "{\"formulas\":[]}",
"filterData" : "# Add filters using R syntax here, see question mark for help.\n\ngeneratedFilter # by default: pass the non-R filter(s)"
}

## xdata.json

{}

## data.bin

## index.html

## Results

## analyses.json

{
"analyses" : [],
"meta" : null
}

**## wk4ass5015.docx**

### **Assignment Overview**

By successfully completing this assignment, you demonstrate your proficiency in the following competency and specialized behaviors:

· Competency 4:
_Engage in practice-informed research and research-informed practice._

· C4.SP.A:
_Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings._

· Related Assignment Criteria:

·
_1: Devise accurate datasets._

·
_3: Describe and report the statistical method or test outcomes using the appropriate statistical method or test._

· C4.SP.B:
_Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods._

· Related Assignment Criteria:

·
_2: Develop appropriate statistical tests and reports that assist in program evaluation._

·
_4: Apply critical thinking in verbal and written communication through the use of leadership and technology._

### **Assignment Scenario**

Your community wants to open an adult daycare center. You have located the Farrel Foundation, which would like to fund start-up grants for daycare programs. This foundation's research demonstrates a correlation between depression and length of time in a skilled nursing facility. A group of community residents feel that an adult daycare would allow the aging population to stay with their families while using the supplemental daycare services. You are asked to confirm the correlation between depression and length of stay in nursing homes in an effort to provide community options. Nursing home residents were asked to complete the Geriatric Depression Scale (GDS), which is a 15-item scale (a 15 represents a high level of depression).

Using the data in the
[Week 4 Dataset [JASP]](https://courseroom.capella.edu/courses/35546/files/6464918/download), test whether length of stay in a nursing home and depression are related at a .05 level of significance.

Refer to
JASP Tutorial Video: Correlation

Links to an external site.

for help with how to conduct correlation tests.

### **Assignment Instructions**

For this assignment, respond to the following prompts in a one-page, APA-formatted paper.

1. Based on the output,
**state the following factors**:

· Sample size.

· Correlation coefficient.

· Significance.

2. Based on the value of the correlation coefficient,
**explain whether there is a significant relationship** between length of stay and depression.

3. Based on the correlation coefficient and given the value of r,
**provide a narrative conclusion**:

· How might you explain the result of this correlation test?

· What other data might you analyze to advocate for an adult daycare in the community, if your finding is not statistically significant?

### **Additional Requirements**

Your assignment should meet the following requirements:

·
**Written communication**: Written communication is free of errors that detract from the overall message.

·
**APA formatting:** Resources and citations are formatted according to current APA style and formatting standards. Use
Academic Writer

·
Links to an external site.

· for guidance in citing sources in proper APA style. See the
Writing Center

·
Links to an external site.

· for more APA resources specific to your degree level.

·
**Length of paper**: One double-spaced page.

·
**Font and font size**: Times New Roman, 12 point.

### **Competencies Measured**

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and rubric criteria:

· Competency 1: Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings. (C4.SP.A)

· Devise accurate datasets. (C4.SP.A)

· Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A)

· Competency 2: Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods. (C4.SP.B)

· Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B)

· Competency 3: Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the social work profession.

· Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B)

**View Rubric**

| | | |
| — | — | — |
| | | |
| **Correlation** |
| **Criteria** | **Ratings** | **Pts** |
| Devise accurate datasets. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |

**## wk4ass5015.docx**

### **Assignment Overview**

By successfully completing this assignment, you demonstrate your proficiency in the following competency and specialized behaviors:

· Competency 4:
_Engage in practice-informed research and research-informed practice._

· C4.SP.A:
_Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings._

· Related Assignment Criteria:

·
_1: Devise accurate datasets._

·
_3: Describe and report the statistical method or test outcomes using the appropriate statistical method or test._

· C4.SP.B:
_Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods._

· Related Assignment Criteria:

·
_2: Develop appropriate statistical tests and reports that assist in program evaluation._

·
_4: Apply critical thinking in verbal and written communication through the use of leadership and technology._

### **Assignment Scenario**

Your community wants to open an adult daycare center. You have located the Farrel Foundation, which would like to fund start-up grants for daycare programs. This foundation's research demonstrates a correlation between depression and length of time in a skilled nursing facility. A group of community residents feel that an adult daycare would allow the aging population to stay with their families while using the supplemental daycare services. You are asked to confirm the correlation between depression and length of stay in nursing homes in an effort to provide community options. Nursing home residents were asked to complete the Geriatric Depression Scale (GDS), which is a 15-item scale (a 15 represents a high level of depression).

Using the data in the
[Week 4 Dataset [JASP]](https://courseroom.capella.edu/courses/35546/files/6464918/download), test whether length of stay in a nursing home and depression are related at a .05 level of significance.

Refer to
JASP Tutorial Video: Correlation

Links to an external site.

for help with how to conduct correlation tests.

### **Assignment Instructions**

For this assignment, respond to the following prompts in a one-page, APA-formatted paper.

1. Based on the output,
**state the following factors**:

· Sample size.

· Correlation coefficient.

· Significance.

2. Based on the value of the correlation coefficient,
**explain whether there is a significant relationship** between length of stay and depression.

3. Based on the correlation coefficient and given the value of r,
**provide a narrative conclusion**:

· How might you explain the result of this correlation test?

· What other data might you analyze to advocate for an adult daycare in the community, if your finding is not statistically significant?

### **Additional Requirements**

Your assignment should meet the following requirements:

·
**Written communication**: Written communication is free of errors that detract from the overall message.

·
**APA formatting:** Resources and citations are formatted according to current APA style and formatting standards. Use
Academic Writer

·
Links to an external site.

· for guidance in citing sources in proper APA style. See the
Writing Center

·
Links to an external site.

· for more APA resources specific to your degree level.

·
**Length of paper**: One double-spaced page.

·
**Font and font size**: Times New Roman, 12 point.

### **Competencies Measured**

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and rubric criteria:

· Competency 1: Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings. (C4.SP.A)

· Devise accurate datasets. (C4.SP.A)

· Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A)

· Competency 2: Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods. (C4.SP.B)

· Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B)

· Competency 3: Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the social work profession.

· Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B)

**View Rubric**

| | | |
| — | — | — |
| | | |
| **Correlation** |
| **Criteria** | **Ratings** | **Pts** |
| Devise accurate datasets. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |

**## cf_unit_4_dataset1.jasp**

## META-INF/MANIFEST.MF

Manifest-Version: 1.0
Created-By: JASP 0.16.3
Data-Archive-Version: 1.0.2
JASP-Archive-Version: 3.1

## metadata.json

{
"computedColumns" : [],
"dataFilePath" : "C:/Users/swowr/OneDrive/Desktop/SWK5015/SWK5015 unit 4 dataset.csv",
"dataFileReadOnly" : false,
"dataFileTimestamp" : 1664375731,
"dataSet" :
{
"columnCount" : 2,
"emptyValuesMap" :
{
"Length of stay in nursing home" : {},
"Score on GDS" : {}
},
"fields" :
[
{
"measureType" : "Continuous",
"name" : "Length of stay in nursing home",
"type" : "number"
},
{
"measureType" : "Continuous",
"name" : "Score on GDS",
"type" : "number"
}
],
"filterVector" :
[
true,
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true,
true,
true,
true,
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true,
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true
],
"rowCount" : 22
},
"emptyValues" :
[
"NaN",
"nan",
".",
"NA"
],
"filterConstructorJSON" : "{\"formulas\":[]}",
"filterData" : "# Add filters using R syntax here, see question mark for help.\n\ngeneratedFilter # by default: pass the non-R filter(s)"
}

## xdata.json

{}

## data.bin

## index.html

## Results

## analyses.json

{
"analyses" : [],
"meta" : null
}

**## wk4ass5015.docx**

### **Assignment Overview**

By successfully completing this assignment, you demonstrate your proficiency in the following competency and specialized behaviors:

· Competency 4:
_Engage in practice-informed research and research-informed practice._

· C4.SP.A:
_Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings._

· Related Assignment Criteria:

·
_1: Devise accurate datasets._

·
_3: Describe and report the statistical method or test outcomes using the appropriate statistical method or test._

· C4.SP.B:
_Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods._

· Related Assignment Criteria:

·
_2: Develop appropriate statistical tests and reports that assist in program evaluation._

·
_4: Apply critical thinking in verbal and written communication through the use of leadership and technology._

### **Assignment Scenario**

Your community wants to open an adult daycare center. You have located the Farrel Foundation, which would like to fund start-up grants for daycare programs. This foundation's research demonstrates a correlation between depression and length of time in a skilled nursing facility. A group of community residents feel that an adult daycare would allow the aging population to stay with their families while using the supplemental daycare services. You are asked to confirm the correlation between depression and length of stay in nursing homes in an effort to provide community options. Nursing home residents were asked to complete the Geriatric Depression Scale (GDS), which is a 15-item scale (a 15 represents a high level of depression).

Using the data in the
[Week 4 Dataset [JASP]](https://courseroom.capella.edu/courses/35546/files/6464918/download), test whether length of stay in a nursing home and depression are related at a .05 level of significance.

Refer to
JASP Tutorial Video: Correlation

Links to an external site.

for help with how to conduct correlation tests.

### **Assignment Instructions**

For this assignment, respond to the following prompts in a one-page, APA-formatted paper.

1. Based on the output,
**state the following factors**:

· Sample size.

· Correlation coefficient.

· Significance.

2. Based on the value of the correlation coefficient,
**explain whether there is a significant relationship** between length of stay and depression.

3. Based on the correlation coefficient and given the value of r,
**provide a narrative conclusion**:

· How might you explain the result of this correlation test?

· What other data might you analyze to advocate for an adult daycare in the community, if your finding is not statistically significant?

### **Additional Requirements**

Your assignment should meet the following requirements:

·
**Written communication**: Written communication is free of errors that detract from the overall message.

·
**APA formatting:** Resources and citations are formatted according to current APA style and formatting standards. Use
Academic Writer

·
Links to an external site.

· for guidance in citing sources in proper APA style. See the
Writing Center

·
Links to an external site.

· for more APA resources specific to your degree level.

·
**Length of paper**: One double-spaced page.

·
**Font and font size**: Times New Roman, 12 point.

### **Competencies Measured**

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and rubric criteria:

· Competency 1: Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings. (C4.SP.A)

· Devise accurate datasets. (C4.SP.A)

· Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A)

· Competency 2: Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods. (C4.SP.B)

· Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B)

· Competency 3: Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the social work profession.

· Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B)

**View Rubric**

| | | |
| — | — | — |
| | | |
| **Correlation** |
| **Criteria** | **Ratings** | **Pts** |
| Devise accurate datasets. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |

**## cf_unit_4_dataset1.jasp**

## META-INF/MANIFEST.MF

Manifest-Version: 1.0
Created-By: JASP 0.16.3
Data-Archive-Version: 1.0.2
JASP-Archive-Version: 3.1

## metadata.json

{
"computedColumns" : [],
"dataFilePath" : "C:/Users/swowr/OneDrive/Desktop/SWK5015/SWK5015 unit 4 dataset.csv",
"dataFileReadOnly" : false,
"dataFileTimestamp" : 1664375731,
"dataSet" :
{
"columnCount" : 2,
"emptyValuesMap" :
{
"Length of stay in nursing home" : {},
"Score on GDS" : {}
},
"fields" :
[
{
"measureType" : "Continuous",
"name" : "Length of stay in nursing home",
"type" : "number"
},
{
"measureType" : "Continuous",
"name" : "Score on GDS",
"type" : "number"
}
],
"filterVector" :
[
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
],
"rowCount" : 22
},
"emptyValues" :
[
"NaN",
"nan",
".",
"NA"
],
"filterConstructorJSON" : "{\"formulas\":[]}",
"filterData" : "# Add filters using R syntax here, see question mark for help.\n\ngeneratedFilter # by default: pass the non-R filter(s)"
}

## xdata.json

{}

## data.bin

## index.html

## Results

## analyses.json

{
"analyses" : [],
"meta" : null
}

**## wk4ass5015.docx**

### **Assignment Overview**

By successfully completing this assignment, you demonstrate your proficiency in the following competency and specialized behaviors:

· Competency 4:
_Engage in practice-informed research and research-informed practice._

· C4.SP.A:
_Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings._

· Related Assignment Criteria:

·
_1: Devise accurate datasets._

·
_3: Describe and report the statistical method or test outcomes using the appropriate statistical method or test._

· C4.SP.B:
_Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods._

· Related Assignment Criteria:

·
_2: Develop appropriate statistical tests and reports that assist in program evaluation._

·
_4: Apply critical thinking in verbal and written communication through the use of leadership and technology._

### **Assignment Scenario**

Your community wants to open an adult daycare center. You have located the Farrel Foundation, which would like to fund start-up grants for daycare programs. This foundation's research demonstrates a correlation between depression and length of time in a skilled nursing facility. A group of community residents feel that an adult daycare would allow the aging population to stay with their families while using the supplemental daycare services. You are asked to confirm the correlation between depression and length of stay in nursing homes in an effort to provide community options. Nursing home residents were asked to complete the Geriatric Depression Scale (GDS), which is a 15-item scale (a 15 represents a high level of depression).

Using the data in the
[Week 4 Dataset [JASP]](https://courseroom.capella.edu/courses/35546/files/6464918/download), test whether length of stay in a nursing home and depression are related at a .05 level of significance.

Refer to
JASP Tutorial Video: Correlation

Links to an external site.

for help with how to conduct correlation tests.

### **Assignment Instructions**

For this assignment, respond to the following prompts in a one-page, APA-formatted paper.

1. Based on the output,
**state the following factors**:

· Sample size.

· Correlation coefficient.

· Significance.

2. Based on the value of the correlation coefficient,
**explain whether there is a significant relationship** between length of stay and depression.

3. Based on the correlation coefficient and given the value of r,
**provide a narrative conclusion**:

· How might you explain the result of this correlation test?

· What other data might you analyze to advocate for an adult daycare in the community, if your finding is not statistically significant?

### **Additional Requirements**

Your assignment should meet the following requirements:

·
**Written communication**: Written communication is free of errors that detract from the overall message.

·
**APA formatting:** Resources and citations are formatted according to current APA style and formatting standards. Use
Academic Writer

·
Links to an external site.

· for guidance in citing sources in proper APA style. See the
Writing Center

·
Links to an external site.

· for more APA resources specific to your degree level.

·
**Length of paper**: One double-spaced page.

·
**Font and font size**: Times New Roman, 12 point.

### **Competencies Measured**

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and rubric criteria:

· Competency 1: Apply leadership skills, ethical use of technology and research findings to inform and improve practice, policy, and programs in the specialization of advanced generalist practice settings. (C4.SP.A)

· Devise accurate datasets. (C4.SP.A)

· Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A)

· Competency 2: Analyze and respond to ethical, culturally informed, anti-racist, and anti-oppressive strategies in the specialization of advanced generalist social work practice that address inherent biases for use in quantitative and qualitative research methods. (C4.SP.B)

· Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B)

· Competency 3: Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the social work profession.

· Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B)

**View Rubric**

| | | |
| — | — | — |
| | | |
| **Correlation** |
| **Criteria** | **Ratings** | **Pts** |
| Devise accurate datasets. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Develop appropriate statistical tests and reports that assist in program evaluation. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Describe and report the statistical method or test outcomes using the appropriate statistical method or test. (C4.SP.A) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |
| Apply critical thinking in verbal and written communication through the use of leadership and technology. (C4.SP.B) | **7.5 pts**<br>**DEMONSTRATED**<br>YES<br>**0 pts**<br>**NOT_DEMONSTRATED**<br>NO | / 7.5 pts |

November 5, 2026
[Solved] Mathematics

✓ Verified Academic Solution Available

Executive Solution Overview

[**MLM Homework 3.3 Graphing Linear Functions**](https://mylab.pearson.com/courses/13290016?pagelink=frame#) [**MLM Homework 3.4 Slope of a Line**](https://mylab.pearson.com/courses/13290016?pagelink=frame#) **https://mylabmastering.pearson.com/?courseId=13290016#/ Username:Rwood29 Pw:Raequan2003** …

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Assignment Prompt & Instructions

[**MLM Homework 3.3 Graphing Linear Functions**](https://mylab.pearson.com/courses/13290016?pagelink=frame#) [**MLM Homework 3.4 Slope of a Line**](https://mylab.pearson.com/courses/13290016?pagelink=frame#) **https://mylabmastering.pearson.com/?courseId=13290016#/ Username:Rwood29 Pw:Raequan2003**

– 2 years ago

November 5, 2026
[Solved] math week 5

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Executive Solution Overview

**Week 5 – Discussion: Exploration of Linear Equations** Discussion Requirement Reminders: _As part of your learning experience, active participation in discussions is essential. An important part of the final grade will be based on your participation. You will be evaluated on the quality and quanti…

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Assignment Prompt & Instructions

**Week 5 – Discussion: Exploration of Linear Equations**

Discussion Requirement Reminders:

_As part of your learning experience, active participation in discussions is essential. An important part of the final grade will be based on your participation. You will be evaluated on the quality and quantity of your participation in the discussion forum that corresponds to the grading rubric._

_The initial post and responses should be in your own words and demonstrate critical thinking, analysis, and expected level of knowledge. Initial posts and replies should be in complete sentences and in paragraph form. You should not have bullet points as they are not in complete sentences or paragraph form. Copy-pasting may result in a zero._

_To meet the minimum participation requirements, you will post relevant content 3 different days during the week. The first post is due by day four of the week by 11:59PM, Eastern Time. Once you make the initial post, you will see other people’s posts. You will post replies on at least two additional days by day seven of the week by 11:59PM, Eastern Time._

Instructions for the initial post:

First, **read over** this example:

A sales job offers a weekly base salary of $575 plus a commission of $250 for every sale made that week. The weekly earnings for a salesperson can be modeled:

y = 250x + 575

where x (the independent variable) is the number of sales made during the week and y (the dependent variable) is the total earnings of the salesperson for the week.

Using this example as a model, **go online and find** another real-world application of a linear equation in 2 variables.

**Share** this equation and **discuss what is being modeled** as well as what the independent and dependent variables represent, in context. If the example you find uses variables other than x and y, be sure to use x and y instead and write the equation in y = mx+b form.

You may use an example from an educational resource, such as Khan Academy or something similar. Be sure to cite this resource at the bottom of your initial post in proper APA format.

In addition, **graph the linear equation** using [Desmos.com链接到外部网站。](https://www.desmos.com/calculator) and **embed the graph using the steps provided in the video**.

– 2 years ago

November 5, 2026
[Solved] case study

✓ Verified Academic Solution Available

Executive Solution Overview

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) Complete Session 4 Case Study: Case Study 10.1 in the textbook. Submit a Word document formatted in APA style complete with cover and reference pages. The reference page must have at least one entry: the textbook. …

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Assignment Prompt & Instructions

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)

Complete Session 4 Case Study: Case Study 10.1 in the textbook.

Submit a Word document formatted in APA style complete with cover and reference pages. The reference page must have at least one entry: the textbook.

The submission must be a form Research Report with the following parts:

1. **Background information about the case:** The section must provide information about the people, places, operations, business, etc. and the research question or practical business challenges for which the current research will be used to provide a solution . This section need not be long; up to two well written paragraphs are usually sufficient.
2. **Descriptive Statistics and Data illustration:** In this section, the submission must summarize how the data was obtained (see chapter 1 of the text). Graphs and charts illustrating the main features of the data are also required – please see chapter 2 of the textbook. Finally, a table of descriptive statistics accompanied by description and explanations of the main features of the data are also required.
3. **Statistical Method:** This part of the submission must explain the main statistical method(s) used in the case. What is the theory behind it? What are the working hypotheses (null and alternative, etc.), what main measures, statistics, or parameters etc., are to be estimated or calculated using the method; how does it measures or calculates these measures, statistics, or parameters? Finally, this section must describe how the results of the statistical method are interpreted. That is, what is it about the results that would indicate that the working hypotheses or research questions are confirmed or rejected or perhaps need to be modified and tested again?
4. **Results:** The actual results of the statistical method applied to the data are now presented in this section. The section requires the student to describe the results and their theoretical interpretation based on the description of the method described in the previous section.
5. **Conclusion and Recommendation:** This section restates the statistical results and applies it to the business situation in the case. It also makes practical recommendations about what steps the business in the case can take going forward based on the results of the statistical analysis. The application and recommendation can take one or more of these general forms.

1. The statistical results of the data analysis provided an answer(s) to the issues that the business is facing. As a result specific policies or practical steps can be implemented in the business.
2. The statistical results of the data analysis provided only partial answers. More research and tests need to be done to come up with a more useful answers for the business situation.
3. The statistical results did not provide any useful information for the challenges that a business(s) is facing. Recommendations for conducting new research with new approaches, data, variables, etc. may be required.
4. Note: there is always room for 'further research' since it is impossible for a single research case to answer every possible question.

Note

1. The textbook provides narratives, questions, or actual steps/questions for each case study. While these are useful for conducting actual research, the submission must take the form of a research report and follow the above pattern.
2. Excel has routines for comparing two population sample means under the Data Analysis tool kit. Follow the Excel guides in the textbook to apply this technique to the current problem.
3. Consistent with the emphasis of this course on interpretation, an [edited version of the answer key for the case study have been provided here](https://swu.instructure.com/courses/4178430/files/302833045?wrap=1). Students are required to use the information to enhance their understanding of the statistical methods and the results obtained.

– [\
\
CaseStudy10.1-LarabeeEngineeringAnswerGuide.docx](https://www.sweetstudy.com/files/casestudy10-1-larabeeengineeringanswerguide-docx "CaseStudy10.1-LarabeeEngineeringAnswerGuide.docx")

– 2 years ago

November 5, 2026
[Solved] Mathematics Homework

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In-depth study guidance and analytical solution covering Mathematics Homework.

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Assignment Prompt & Instructions

Full assignment prompt and step-by-step guidance are included in the downloadable solution file.

November 5, 2026
[Solved] help with math due in 6 hours

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Executive Solution Overview

[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra) attached – [\ \ Screenshot2025-01-31165406.png](https://www.sweetstudy.com/files/screenshot2025-01-31165406-png "Screenshot2025-01-31165406.png") – [\ \ Screenshot2025-01-31170117.png](https://www.sweetstudy.com/file…

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Assignment Prompt & Instructions

[>Algebra homework help](https://www.sweetstudy.com/fields/mathematics-algebra)

attached

– [\
\
Screenshot2025-01-31165406.png](https://www.sweetstudy.com/files/screenshot2025-01-31165406-png "Screenshot2025-01-31165406.png")
– [\
\
Screenshot2025-01-31170117.png](https://www.sweetstudy.com/files/screenshot2025-01-31170117-png "Screenshot2025-01-31170117.png")
– [\
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Screenshot2025-01-31170218.png](https://www.sweetstudy.com/files/screenshot2025-01-31170218-png "Screenshot2025-01-31170218.png")
– [\
\
Screenshot2025-01-31171117.png](https://www.sweetstudy.com/files/screenshot2025-01-31171117-png "Screenshot2025-01-31171117.png")
– [\
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Screenshot2025-01-31171129.png](https://www.sweetstudy.com/files/screenshot2025-01-31171129-png "Screenshot2025-01-31171129.png")
– [\
\
Screenshot2025-01-31165431.png](https://www.sweetstudy.com/files/screenshot2025-01-31165431-png "Screenshot2025-01-31165431.png")
– [\
\
Screenshot2025-01-31165755.png](https://www.sweetstudy.com/files/screenshot2025-01-31165755-png "Screenshot2025-01-31165755.png")
– [\
\
Screenshot2025-01-31170457.png](https://www.sweetstudy.com/files/screenshot2025-01-31170457-png "Screenshot2025-01-31170457.png")
– [\
\
Screenshot2025-01-31165734.png](https://www.sweetstudy.com/files/screenshot2025-01-31165734-png "Screenshot2025-01-31165734.png")
– [\
\
Screenshot2025-01-31170241.png](https://www.sweetstudy.com/files/screenshot2025-01-31170241-png "Screenshot2025-01-31170241.png")

– 2 years ago

November 5, 2026
[Solved] attached

✓ Verified Academic Solution Available

Executive Solution Overview

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) – 2 years ago **files (4)** – ## lecture2.pdf – ## lecture1.pdf – ## lecture3.pdf – ## Week5LabTemplate2024.docx **## lecture2.pdf** ©2024 Chamberlain University 1 MATH225 Empirical Rule (68-95-99.7 Rule) ©2024 Cha…

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Assignment Prompt & Instructions

[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)

– 2 years ago

**files (4)**

– ## lecture2.pdf

– ## lecture1.pdf

– ## lecture3.pdf

– ## Week5LabTemplate2024.docx

**## lecture2.pdf**

©2024 Chamberlain University 1

MATH225
Empirical Rule (68-95-99.7 Rule)

©2024 Chamberlain University 2

Example:

Example:

©2024 Chamberlain University 3

Example:

Example:

**## lecture1.pdf**

©2024 Chamberlain University 1

MATH225
Parameters of the Normal Distribution

Normal Distributions and Standard Normal Distribution

©2024 Chamberlain University 2

\*\* The more spread out the graph—The greater the standard deviation.

The Standard Normal Distribution

©2024 Chamberlain University 3

Z = 0 -> _________________________________________________________________

Z = negative -> ____________________________________________________________

Z = positive -> ______________________________________________________________

Normal: __________________________________________________________________

Unusual: __________________________________________________________________

Highly Unusual: _____________________________________________________________

Example:

©2024 Chamberlain University 4

Value: _________________________________________________________________

Example: The scores on a test are normally distributed with a mean of 90 and a
standard deviation of 18. What is the score that is 2 ½ standard deviations above
the mean?

Example: The scores on a test are normally distributed with a mean of 130 and a
standard deviation of 26. What is the score that is ½ standard deviation below the
mean?

Example:

©2024 Chamberlain University 5

Example:

Example:

©2024 Chamberlain University 6

Example:

**## lecture3.pdf**

©2024 Chamberlain University 1

MATH225
Normal Distributions to Compute Probability

Finding Areas Under the Standard Normal Curve

1. Sketch the curve and shade the area.

2. Three Cases:

a) To find the area to the left of z, just find the area that

corresponds to z on the table.

Example:

©2024 Chamberlain University 2

b) To find the area to the right of z, just find the area that
corresponds to z on the table and subtract the area from 1.

Example:

c) To find the area between two z-scores find both
corresponding areas and subtract the smaller from the largest.

Example:

Example:

©2024 Chamberlain University 3

Applications of a Normal Distribution

Finding the Probability

Example: The number of miles a motorcycle, X, will travel on one
gallon of gasoline is modeled by a normal distribution with mean 44 and
standard deviation 5.

With one gallon of gasoline in the motorcycle, find the probability that
Mike can travel more than 50 miles without refueling. Round your
answer to four decimal places.

©2024 Chamberlain University 4

Example: A certain type of mango that weights over 450 grams is
considered large in size. The weights for this type of mango, X grams,
are normal distributed with a mean of 400 and a standard deviation of
20.

Find the probability that a randomly selected mango of this type will not
be considered as large size. Round your answer to four decimal places.

Example: A worn, poorly set-up machine is observed to produce
components whose length X follows a normal distribution with a mean
equal to 14 centimeters wand a variance equal to 9.

Determine the probability that a component is at most 12 centimeters
long Round your answer to four decimal places.

Finding the Value given the Probability

©2024 Chamberlain University 5

Recall: To find value– x = mean + z-score*standard deviation

Example: An organization has members who possess IQs in the top 4%
of the population. If IQs are normally distributed, with a mean of 105
and a standard deviation of 15, what is the minimum IQ required for
admission into the organization?

Example: The weights of bags of raisins are normally distributed with a
mean of 175 grams and a standard deviation of 11 grams. Bags in the
upper 4.5% are too heavy and must be repackaged. Also, bags in the
lower 5% do not meet the minimum weight requirement and must be
repackaged.

What are the ranges of weights for raisin bags that need to repackaged.

©2024 Chamberlain University 6

©2024 Chamberlain University 7

**## Week5LabTemplate2024.docx**

![C:UsersD01030541AppDataLocalMicrosoftWindowsTemporary Internet FilesContent.Outlook7T7OKQBIPre-licensure Header_Seal Only (3).jpg](https://www.sweetstudy.com/questions/attached-20881773)

**Week 5 Lab Assignment**

**Name:________________________ Instructor Name: _______________**

Please use this template to help answer the questions listed in the lab instructions. The “steps” below refer to the steps listed in the lab instructions. Type your answers and post your screenshots in the spaces given below. Then, save this document with your name and submit it inside the course room.

**Step 1. Gather Data**

Your instructors will post 10 data values to use for this lab. The data values represent the HEIGHTS of 10 people.

Please reach out to your instructor if you did not receive the assigned 10 data values for the term by Monday of Week 5.

(
**NOTE:** This is NOT the data used in the lab video, which is about midterm grades. Do not use the midterm grades data.)

**1a.** Gather 10 MORE of your own to add to the 10 provided by your instructor. Do the following: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the
**20 values** by using the Week 3 Excel spreadsheet. (Round statistics to two decimals.)

| | |
| — | — |
| Mean Height in Inches | |
| Sample Standard Deviation in inches | |
| Your Height in Inches | |

**1b.** Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values.
**Please list the 10 heights your professor provided first followed by the 10 heights you collected. There should be 20 values to determine the mean and sample standard deviation.**

**1c.** Answer the following two questions (Answer in complete sentences).

How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

**Step 2. Data Characteristics**

Answer the following questions to give some background information on the group of people you used in your study. Write in complete sentences.

**1.** **How** did you choose the participants for your study?
**What** was the sampling method: systematic, convenience, cluster, stratified, simple random?

**2.** What part of the country did your study take place in?

**3.** What are the age ranges of your participants?

**4.** How many of each gender did you have in your study?

**5.** What are other interesting factors about your group?

**Step 3. Data Analysis**

Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data.

**Empirical Rule**

**1.** Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study. (Use the Empirical Rule tab from the spreadsheet).

**2.** What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in context of the data.

**3.** Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and provide it below

**Normal Distribution**

1. Take a Screenshot of your Normal Distribution Sheet and provide it below

2. Based on your study results, what percent of the study participants are shorter than you? What percent are taller?

**Step 4. Save and submit this document**

Be sure your name is on the Word document, save it, and then submit it. In the assignment module, click “start assignment” and then “upload file” and “submit assignment”.

| | |
| — | — |
| | 7 |

## image1.jpeg

**## Week5LabTemplate2024.docx**

![C:UsersD01030541AppDataLocalMicrosoftWindowsTemporary Internet FilesContent.Outlook7T7OKQBIPre-licensure Header_Seal Only (3).jpg](https://www.sweetstudy.com/questions/attached-20881773)

**Week 5 Lab Assignment**

**Name:________________________ Instructor Name: _______________**

Please use this template to help answer the questions listed in the lab instructions. The “steps” below refer to the steps listed in the lab instructions. Type your answers and post your screenshots in the spaces given below. Then, save this document with your name and submit it inside the course room.

**Step 1. Gather Data**

Your instructors will post 10 data values to use for this lab. The data values represent the HEIGHTS of 10 people.

Please reach out to your instructor if you did not receive the assigned 10 data values for the term by Monday of Week 5.

(
**NOTE:** This is NOT the data used in the lab video, which is about midterm grades. Do not use the midterm grades data.)

**1a.** Gather 10 MORE of your own to add to the 10 provided by your instructor. Do the following: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the
**20 values** by using the Week 3 Excel spreadsheet. (Round statistics to two decimals.)

| | |
| — | — |
| Mean Height in Inches | |
| Sample Standard Deviation in inches | |
| Your Height in Inches | |

**1b.** Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values.
**Please list the 10 heights your professor provided first followed by the 10 heights you collected. There should be 20 values to determine the mean and sample standard deviation.**

**1c.** Answer the following two questions (Answer in complete sentences).

How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

**Step 2. Data Characteristics**

Answer the following questions to give some background information on the group of people you used in your study. Write in complete sentences.

**1.** **How** did you choose the participants for your study?
**What** was the sampling method: systematic, convenience, cluster, stratified, simple random?

**2.** What part of the country did your study take place in?

**3.** What are the age ranges of your participants?

**4.** How many of each gender did you have in your study?

**5.** What are other interesting factors about your group?

**Step 3. Data Analysis**

Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data.

**Empirical Rule**

**1.** Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study. (Use the Empirical Rule tab from the spreadsheet).

**2.** What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in context of the data.

**3.** Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and provide it below

**Normal Distribution**

1. Take a Screenshot of your Normal Distribution Sheet and provide it below

2. Based on your study results, what percent of the study participants are shorter than you? What percent are taller?

**Step 4. Save and submit this document**

Be sure your name is on the Word document, save it, and then submit it. In the assignment module, click “start assignment” and then “upload file” and “submit assignment”.

| | |
| — | — |
| | 7 |

## image1.jpeg

**## lecture2.pdf**

©2024 Chamberlain University 1

MATH225
Empirical Rule (68-95-99.7 Rule)

©2024 Chamberlain University 2

Example:

Example:

©2024 Chamberlain University 3

Example:

Example:

**## lecture1.pdf**

©2024 Chamberlain University 1

MATH225
Parameters of the Normal Distribution

Normal Distributions and Standard Normal Distribution

©2024 Chamberlain University 2

\*\* The more spread out the graph—The greater the standard deviation.

The Standard Normal Distribution

©2024 Chamberlain University 3

Z = 0 -> _________________________________________________________________

Z = negative -> ____________________________________________________________

Z = positive -> ______________________________________________________________

Normal: __________________________________________________________________

Unusual: __________________________________________________________________

Highly Unusual: _____________________________________________________________

Example:

©2024 Chamberlain University 4

Value: _________________________________________________________________

Example: The scores on a test are normally distributed with a mean of 90 and a
standard deviation of 18. What is the score that is 2 ½ standard deviations above
the mean?

Example: The scores on a test are normally distributed with a mean of 130 and a
standard deviation of 26. What is the score that is ½ standard deviation below the
mean?

Example:

©2024 Chamberlain University 5

Example:

Example:

©2024 Chamberlain University 6

Example:

**## lecture3.pdf**

©2024 Chamberlain University 1

MATH225
Normal Distributions to Compute Probability

Finding Areas Under the Standard Normal Curve

1. Sketch the curve and shade the area.

2. Three Cases:

a) To find the area to the left of z, just find the area that

corresponds to z on the table.

Example:

©2024 Chamberlain University 2

b) To find the area to the right of z, just find the area that
corresponds to z on the table and subtract the area from 1.

Example:

c) To find the area between two z-scores find both
corresponding areas and subtract the smaller from the largest.

Example:

Example:

©2024 Chamberlain University 3

Applications of a Normal Distribution

Finding the Probability

Example: The number of miles a motorcycle, X, will travel on one
gallon of gasoline is modeled by a normal distribution with mean 44 and
standard deviation 5.

With one gallon of gasoline in the motorcycle, find the probability that
Mike can travel more than 50 miles without refueling. Round your
answer to four decimal places.

©2024 Chamberlain University 4

Example: A certain type of mango that weights over 450 grams is
considered large in size. The weights for this type of mango, X grams,
are normal distributed with a mean of 400 and a standard deviation of
20.

Find the probability that a randomly selected mango of this type will not
be considered as large size. Round your answer to four decimal places.

Example: A worn, poorly set-up machine is observed to produce
components whose length X follows a normal distribution with a mean
equal to 14 centimeters wand a variance equal to 9.

Determine the probability that a component is at most 12 centimeters
long Round your answer to four decimal places.

Finding the Value given the Probability

©2024 Chamberlain University 5

Recall: To find value– x = mean + z-score*standard deviation

Example: An organization has members who possess IQs in the top 4%
of the population. If IQs are normally distributed, with a mean of 105
and a standard deviation of 15, what is the minimum IQ required for
admission into the organization?

Example: The weights of bags of raisins are normally distributed with a
mean of 175 grams and a standard deviation of 11 grams. Bags in the
upper 4.5% are too heavy and must be repackaged. Also, bags in the
lower 5% do not meet the minimum weight requirement and must be
repackaged.

What are the ranges of weights for raisin bags that need to repackaged.

©2024 Chamberlain University 6

©2024 Chamberlain University 7

**## Week5LabTemplate2024.docx**

![C:UsersD01030541AppDataLocalMicrosoftWindowsTemporary Internet FilesContent.Outlook7T7OKQBIPre-licensure Header_Seal Only (3).jpg](https://www.sweetstudy.com/questions/attached-20881773)

**Week 5 Lab Assignment**

**Name:________________________ Instructor Name: _______________**

Please use this template to help answer the questions listed in the lab instructions. The “steps” below refer to the steps listed in the lab instructions. Type your answers and post your screenshots in the spaces given below. Then, save this document with your name and submit it inside the course room.

**Step 1. Gather Data**

Your instructors will post 10 data values to use for this lab. The data values represent the HEIGHTS of 10 people.

Please reach out to your instructor if you did not receive the assigned 10 data values for the term by Monday of Week 5.

(
**NOTE:** This is NOT the data used in the lab video, which is about midterm grades. Do not use the midterm grades data.)

**1a.** Gather 10 MORE of your own to add to the 10 provided by your instructor. Do the following: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the
**20 values** by using the Week 3 Excel spreadsheet. (Round statistics to two decimals.)

| | |
| — | — |
| Mean Height in Inches | |
| Sample Standard Deviation in inches | |
| Your Height in Inches | |

**1b.** Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values.
**Please list the 10 heights your professor provided first followed by the 10 heights you collected. There should be 20 values to determine the mean and sample standard deviation.**

**1c.** Answer the following two questions (Answer in complete sentences).

How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

**Step 2. Data Characteristics**

Answer the following questions to give some background information on the group of people you used in your study. Write in complete sentences.

**1.** **How** did you choose the participants for your study?
**What** was the sampling method: systematic, convenience, cluster, stratified, simple random?

**2.** What part of the country did your study take place in?

**3.** What are the age ranges of your participants?

**4.** How many of each gender did you have in your study?

**5.** What are other interesting factors about your group?

**Step 3. Data Analysis**

Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data.

**Empirical Rule**

**1.** Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study. (Use the Empirical Rule tab from the spreadsheet).

**2.** What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in context of the data.

**3.** Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and provide it below

**Normal Distribution**

1. Take a Screenshot of your Normal Distribution Sheet and provide it below

2. Based on your study results, what percent of the study participants are shorter than you? What percent are taller?

**Step 4. Save and submit this document**

Be sure your name is on the Word document, save it, and then submit it. In the assignment module, click “start assignment” and then “upload file” and “submit assignment”.

| | |
| — | — |
| | 7 |

## image1.jpeg

**## lecture2.pdf**

©2024 Chamberlain University 1

MATH225
Empirical Rule (68-95-99.7 Rule)

©2024 Chamberlain University 2

Example:

Example:

©2024 Chamberlain University 3

Example:

Example:

**## lecture1.pdf**

©2024 Chamberlain University 1

MATH225
Parameters of the Normal Distribution

Normal Distributions and Standard Normal Distribution

©2024 Chamberlain University 2

\*\* The more spread out the graph—The greater the standard deviation.

The Standard Normal Distribution

©2024 Chamberlain University 3

Z = 0 -> _________________________________________________________________

Z = negative -> ____________________________________________________________

Z = positive -> ______________________________________________________________

Normal: __________________________________________________________________

Unusual: __________________________________________________________________

Highly Unusual: _____________________________________________________________

Example:

©2024 Chamberlain University 4

Value: _________________________________________________________________

Example: The scores on a test are normally distributed with a mean of 90 and a
standard deviation of 18. What is the score that is 2 ½ standard deviations above
the mean?

Example: The scores on a test are normally distributed with a mean of 130 and a
standard deviation of 26. What is the score that is ½ standard deviation below the
mean?

Example:

©2024 Chamberlain University 5

Example:

Example:

©2024 Chamberlain University 6

Example:

**## lecture3.pdf**

©2024 Chamberlain University 1

MATH225
Normal Distributions to Compute Probability

Finding Areas Under the Standard Normal Curve

1. Sketch the curve and shade the area.

2. Three Cases:

a) To find the area to the left of z, just find the area that

corresponds to z on the table.

Example:

©2024 Chamberlain University 2

b) To find the area to the right of z, just find the area that
corresponds to z on the table and subtract the area from 1.

Example:

c) To find the area between two z-scores find both
corresponding areas and subtract the smaller from the largest.

Example:

Example:

©2024 Chamberlain University 3

Applications of a Normal Distribution

Finding the Probability

Example: The number of miles a motorcycle, X, will travel on one
gallon of gasoline is modeled by a normal distribution with mean 44 and
standard deviation 5.

With one gallon of gasoline in the motorcycle, find the probability that
Mike can travel more than 50 miles without refueling. Round your
answer to four decimal places.

©2024 Chamberlain University 4

Example: A certain type of mango that weights over 450 grams is
considered large in size. The weights for this type of mango, X grams,
are normal distributed with a mean of 400 and a standard deviation of
20.

Find the probability that a randomly selected mango of this type will not
be considered as large size. Round your answer to four decimal places.

Example: A worn, poorly set-up machine is observed to produce
components whose length X follows a normal distribution with a mean
equal to 14 centimeters wand a variance equal to 9.

Determine the probability that a component is at most 12 centimeters
long Round your answer to four decimal places.

Finding the Value given the Probability

©2024 Chamberlain University 5

Recall: To find value– x = mean + z-score*standard deviation

Example: An organization has members who possess IQs in the top 4%
of the population. If IQs are normally distributed, with a mean of 105
and a standard deviation of 15, what is the minimum IQ required for
admission into the organization?

Example: The weights of bags of raisins are normally distributed with a
mean of 175 grams and a standard deviation of 11 grams. Bags in the
upper 4.5% are too heavy and must be repackaged. Also, bags in the
lower 5% do not meet the minimum weight requirement and must be
repackaged.

What are the ranges of weights for raisin bags that need to repackaged.

©2024 Chamberlain University 6

©2024 Chamberlain University 7

**## Week5LabTemplate2024.docx**

![C:UsersD01030541AppDataLocalMicrosoftWindowsTemporary Internet FilesContent.Outlook7T7OKQBIPre-licensure Header_Seal Only (3).jpg](https://www.sweetstudy.com/questions/attached-20881773)

**Week 5 Lab Assignment**

**Name:________________________ Instructor Name: _______________**

Please use this template to help answer the questions listed in the lab instructions. The “steps” below refer to the steps listed in the lab instructions. Type your answers and post your screenshots in the spaces given below. Then, save this document with your name and submit it inside the course room.

**Step 1. Gather Data**

Your instructors will post 10 data values to use for this lab. The data values represent the HEIGHTS of 10 people.

Please reach out to your instructor if you did not receive the assigned 10 data values for the term by Monday of Week 5.

(
**NOTE:** This is NOT the data used in the lab video, which is about midterm grades. Do not use the midterm grades data.)

**1a.** Gather 10 MORE of your own to add to the 10 provided by your instructor. Do the following: Survey or measure 10 people to find their heights. Determine the mean and standard deviation for the
**20 values** by using the Week 3 Excel spreadsheet. (Round statistics to two decimals.)

| | |
| — | — |
| Mean Height in Inches | |
| Sample Standard Deviation in inches | |
| Your Height in Inches | |

**1b.** Post a screen shot in the space BELOW of the portion of the spreadsheet that helped you determine these values.
**Please list the 10 heights your professor provided first followed by the 10 heights you collected. There should be 20 values to determine the mean and sample standard deviation.**

**1c.** Answer the following two questions (Answer in complete sentences).

How does your height compare to the mean (average) height of the 20 values? Is your height taller, shorter, or the same as the mean of the sample?

**Step 2. Data Characteristics**

Answer the following questions to give some background information on the group of people you used in your study. Write in complete sentences.

**1.** **How** did you choose the participants for your study?
**What** was the sampling method: systematic, convenience, cluster, stratified, simple random?

**2.** What part of the country did your study take place in?

**3.** What are the age ranges of your participants?

**4.** How many of each gender did you have in your study?

**5.** What are other interesting factors about your group?

**Step 3. Data Analysis**

Answer the following questions. Use the Week 5 Excel spreadsheets to help analyze the data.

**Empirical Rule**

**1.** Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the 20 heights in your height study. (Use the Empirical Rule tab from the spreadsheet).

**2.** What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in context of the data.

**3.** Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and provide it below

**Normal Distribution**

1. Take a Screenshot of your Normal Distribution Sheet and provide it below

2. Based on your study results, what percent of the study participants are shorter than you? What percent are taller?

**Step 4. Save and submit this document**

Be sure your name is on the Word document, save it, and then submit it. In the assignment module, click “start assignment” and then “upload file” and “submit assignment”.

| | |
| — | — |
| | 7 |

## image1.jpeg

November 5, 2026
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