08 Apr You will complete a Course Project in this course that will span two weeks. The project is broken into two parts. You will complete Part I in We

you will complete a Course Project in this course that will span two weeks. The project is broken into two parts. You will complete Part I in Week 6 and Part II in Week 7. In Week 6, Confidence Intervals will be explored and in Week 7 Hypothesis testing will be explored. 

A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval. 

In Part I of this project, you will analyze data, complete research and provide a write-up that includes calculations.  

Deliverables

1. Your professor will provide you with 50 pieces of data.  Email your professor at the beginning of Week 6 if you did not receive the 50 pieces of data for Course Project Part I.

2. Please complete the provided worksheet.

· Project Part I Worksheet (Links to an external site.)

· Introduction–Provide a description of the data you were provided and discuss what you know about the chosen topic.   

· Sample Data—Provide the 50 data values on your worksheet. You must provide ALL of your sample data. 

· Problem Computations—For the topic, you must answer the following: 

· Determine the mean and standard deviation of your sample. 

· Find the 80%, 95%, and 99% confidence intervals. 

· Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval. 

· Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error. 

· Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project. 

· Problem Analysis—Write a half-page reflection. 

· What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place. 

· Explain how Part I of the project has helped you understand confidence intervals better? 

· How did this project help you understand statistics better? 

Required Software

Microsoft Office: Word and Excel

Use a personal copy or access the software at https://application.chamberlain.edu (Links to an external site.).

Grading

This activity will be graded based on the Course Project grading rubric. You can view the rubric below.

Course Outcomes (CO)

· CO6

Due Date

Course Project Part I By 11:59 p.m. MT on Sunday of Week 6

Rubric

Week 6 Project: Part I

Week 6 Project: Part I
Criteria	Ratings	Pts
This criterion is linked to a Learning OutcomePart I: Topic & Introduction	4 pts Proficient Student provides a detailed description of the assigned topic and references the articles that are assigned to the students to review. Student may add outside references. 3 pts Above Average Student provides a detailed description of the assigned topic, highlights outside references but does not reference the assigned articles. 2 pts Average. Student provides a detailed description of topic but does not support description with sources. 1 pts Needs Improvement Students provides a non-developed description of topic OR Student uses a topic that was not assigned by instructor. 0 pts No Effort. No topic, descritpion or citation is provided.	4 pts
This criterion is linked to a Learning OutcomePart I: Sample Data	4 pts Proficient Student provides ALL 50 pieces of data. 3 pts Above Average Student provides 30-49 pieces of data. 2 pts Average Student provides 20 – 29 pieces of data. 1 pts Needs Improvement Student provides 1-19 pieces of data. 0 pts No Effort. No Data was provided.	4 pts
This criterion is linked to a Learning OutcomePart I: Mean & Standard Deviation	5 pts Proficient Mean & Sample Standard Deviation of the data set is correct with no rounding error. . 4 pts Above Average Mean & Sample Standard Deviation of the data set is correct but with rounding error. 3 pts Average One Value (either mean or sample standsrd deviation) is correct but the other is not correct. 1 pts Needs Improvement Both the Mean & Sample Standard Deviation are incorrect but it was attempted. 0 pts No Effort. The mean and sample standard deviation	5 pts
This criterion is linked to a Learning OutcomePart I: Constructing the 80%, 95%, 99% Confidence Intervals	15 pts Proficient Computes the 80%, 95%, and 99% confidence intervals correclty making sure to note the margin of error for each. 12 pts Above Average Computes the 80%, 95%, and 99% confidence intervals correclty but is missing margin of errors (or some of the margin of errors are incorrect). 10 pts Average Computes the 80%, 95%, and 99% confidence intervals but there are some errors in the calculations. 6 pts Needs Improvement Computes the 80%, 95%, and 99% confidence intervals but all of the values are incorrect. The component was attempted. 0 pts No Effort. No Confidence Intervals are provided.	15 pts
This criterion is linked to a Learning OutcomePart I: Creating a new confidence interval	7 pts Proficient. Student computes a confidence interval (not 80%, 95%, 99%) correctly making sure to list the margin of error. 5 pts Above Average. Student computes a confidence interval (not 80%, 95%, 99%) correctly making sure to list the margin of error but there is rounding error. 4 pts Average. Student computes a confidence interval (not 80%, 95%, 99%) correctly but does not highlight the margin of error. 3 pts Needs Improvement Student computes a confidence interval (not 80%, 95%, 99%) but it was not done correctly. 0 pts No Effort. The student did not create a new confidence interval.	7 pts
This criterion is linked to a Learning OutcomePart I: Problem Analysis	10 pts Proficient. Student addresses trend that takes place when the confidence level rises. Provides a sentence for each confidence interval created explaining what the confidence interval means in context of the data collected. Provides a reflection for Part I of the project. 8 pts Above Average. Student addresses trend that takes place when the confidence level rises. Provides sentences for each confidence interval created explaining what the confience interval means in context of the data collected. Does NOT provide a Reflection. 7 pts Average. Student may or may not address the trend that takes place when the confidence level rises. Provides a sentence for SOME confidence intervals created explaining what the confidence interval means in context of the data collected. A reflection Part I of the project may or may not be provided. 5 pts Needs Improvement. Majority of the analysis is missing. 0 pts No Effort. No Problem Anaylsis is provided.	10 pts

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MATH399: Course Project Part I Worksheet

Directions:

Please review the two articles listed below.

Confidence Intervals, Pt. 1:

 

· https://chamberlainuniversity.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx?direct=true&db=mdc&AN=22685844&site=ehost-live&scope=site

Confidence Intervals, Pt. 2:

· https://chamberlainuniversity.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx?direct=true&db=mdc&AN=22720461&site=ehost-live&scope=site

Introduction

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Summarize what you have learned about confidence intervals from the articles above. Discuss why it would be important to find the population mean of the data used for this term. Provide a description of the data you were provided and discuss what you know about the chosen topic.)

Sample Data

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: List ALL of the sample data in the table below.)

Directions:

1. Use the table above to create an 80%, 95%, and 99% confidence interval.

2. Choose another confidence level (besides 80%, 95% or 99%) to create another confidence interval.

3. Provide a sentence for each confidence interval created above which explains what the confidence interval means in context of topic of your project.

Computations

(Round the mean and sample standard deviation to values to FIVE decimal places)

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Calculate each of the following.)

Sample Mean =

Sample Standard Deviation =

(Round the lower/upper limits and margin of error to THREE decimal places).

#1.

80% Confidence Interval:

80% Confidence Interval Margin of Error:

Sentence:

#2.

95% Confidence Interval:

95% Confidence Interval Margin of Error:

Sentence:

#3.

99% Confidence Interval:

99% Confidence Interval Margin of Error:

Sentence:

#4. Make up YOUR OWN Interval.

______% Confidence Interval:

______% Confidence Interval Margin of Error:

Sentence

Problem Analysis

(REMOVE THESE LINES PRIOR TO SUBMITTING REPORT: Write a half-page reflection. What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place. Explain how Part I of the project has helped you understand confidence intervals better? How did this project help you understand statistics better?)

©2021 Chamberlain University

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Course Project, Part I

Introduction

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Summarize what you have learned about confidence intervals. Discuss why it would be important to know the population mean of the data used for this term. Is this an important health measure?)

Sample Data

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: List ALL of the sample data in the table below.)

Directions:

1. Use the table above to create an 80%, 95%, and 99% confidence interval.

2. Choose another confidence level (besides 80%, 95% or 99%) to create another confidence interval.

3. Provide a sentence for each confidence interval created above which explains what the confidence interval means in context of topic of your project.

Computations

(Round all values to TWO decimal places)

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Calculate each of the following.)

Sample Mean =

Sample Standard Deviation =

80% Confidence Interval:

80% Confidence Interval Margin of Error:

Sentence:

95% Confidence Interval:

95% Confidence Interval Margin of Error:

Sentence:

99% Confidence Interval:

99% Confidence Interval Margin of Error:

Sentence:

______% Confidence Interval:

______% Confidence Interval Margin of Error:

Sentence

Problem Analysis

(REMOVE THESE LINES PRIOR TO SUBMITTING REPORT: Write a half-page reflection. What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place. Explain how Part I of the project has helped you understand confidence intervals better? How did this project help you understand statistics better?)

Course Project, Part II

Preliminary Calculations

Round Preliminary Values to the nearest whole number.

Summary Table for:	Live Births
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

Summary Table for:	Deaths
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

Summary Table for:	Divorces
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

Summary Table for:	Marriages
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

Hypothesis Testing

With the information that you gather from the Summary Tables above, test the following (you can use excel when appropriate):

Hypothesis Test #1:

Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance.

Step 1: Clearly state a null and alternative hypothesis, identify the claim, and the type of test.

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Circle One: Left Tailed Test Right Tailed Test Two-Tailed Test

Step 2: Determine the Rejection Region

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

a) Reject Ho if Z ___________

b) Reject Ho if Z ___________

c) Reject Ho if Z is less than ___________ or greater than ___________ .

Step 3: Give the value of the test statistic and the P-Value

Z = _____________ P-Value = ______________

Step 4: Clearly state your conclusion

Circle One: Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

Step 5: Explain what your conclusion means in context of the data.

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of births is _________ (GREATER THAN/LESS THAN/EQUAL TO) 5000 in the United States and territories at the 0.05 level of significance.

Hypothesis Test #2:

Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.

Step 1: Clearly state a null and alternative hypothesis, identify the claim, and the type of test.

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Circle One: Left Tailed Test Right Tailed Test Two-Tailed Test

Step 2: Determine the Rejection Region

Pick ONE multiple choice answer below and fill in the critical value. Round Critical Value to two decimal places.

a) Reject Ho if Z ___________

b) Reject Ho if Z ___________

c) Reject Ho if Z is less than ___________ or greater than ___________ .

Step 3: Give the value of the test statistic and the P-Value

Z = ___________________ P-Value = _____________________

Step 4: Clearly state your conclusion

Circle One: Reject the Null Hypothesis….. OR…… Fail to Reject the Null Hypothesis

Step 5: Explain what your conclusion means in context of the data.

There _______ (IS/IS NOT) sufficient statistical evidence to ________ (SUPPORT/REJECT) the claim that the average amount of deaths is _________(GREATER THAN/LESS THAN/EQUAL TO) 6000 in the United States and territories at the 0.10 level of significance.

Hypothesis Test #3:

Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance.

Step 1: Clearly state a null and alternative hypothesis, identify the claim, and the type of test.

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Circle One: Left Tailed Test Right Tailed Test Two-Tailed Test

Step 2: Determine th

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