Applied Managerial Statistics

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NOTE: This is a template to help you format Project Part B. I have put some explanations in red. Please delete these before submitting the assignment. All text in your submission should be black.

Project Part B: Hypothesis Testing

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MATH534 – Applied Managerial Statistics

Prof. Bhupinder Sran

Keller Graduate School of Management

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1. Introduction

Provide the purpose of this report and an overview of its content.

NOTE FOR SECTIONS 2, 3, 4:

· In these three sections, you will test three hypotheses.

· The row labeled “Hypothesis statement” shows the claim being made.

· Reviewing the Worksheet problems in Week 5 lecture notes (in FILES SECTION) and viewing the recordings (under DEVRY WEBEX) should help you in filling out the items for hypothesis tests in the table. Use of these resources is STRONGLY recommended.

· Using the Excel calculators for weeks 4 and 5 will help you come up with the numbers you need.

2. Hypothesis Test 1: Mean Sales per Week

Hypothesis statement	Mean sales per week exceeds 42.5 per salesperson
Null and alternate hypotheses	Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here
Use z or t?	Select z or t and explain your selection.
Test statistic	Give value of the test statistic
p-value	Give value of the p-value
Hypothesis test result using p-value and alpha	Result of test: Reject Ho or Don’t Reject Ho – pick one of these. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05
Do the results support the claim being made?	Will we support the claim or not support the claim? Yes or No Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim their average height is more than 24 inches”.
99% Confidence Interval for the mean	Give the 99% confidence interval for the mean of the variable being tested above.

Screenshot of the Week 5 Calculator

(put a screen shot of the Week 5 calculator showing the input and results for this problem)

Screenshot of the Week 4 Calculator

(put a screen shot of the Week 4 calculator showing the input and results for this problem)

3. Hypothesis Test 2: Proportion of Online Training

Hypothesis statement	Proportion receiving online training is less than 55%
Null and alternate hypotheses	Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here
Use z or t?	Select z or t and explain your selection.
Test statistic	Give value of the test statistic
p-value	Give value of the p-value
Hypothesis test result using p-value and alpha	Result of test: Reject Ho or Don’t Reject Ho – pick one of these. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05
Do the results support the claim being made?	Will we support the claim or not support the claim? Yes or No Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim the percentage of martians that are orange is more than 33%.”.
99% Confidence Interval for the proportion	Give the 99% confidence interval for proportion receiving online training.

Screenshot of the Week 5 Calculator

(put a screen shot of the Week 5 calculator showing the input and results for this problem)

Screenshot of the Week 4 Calculator

(put a screen shot of the Week 4 calculator showing the input and results for this problem)

4. Hypothesis Test 3: Mean Calls

Hypothesis statement	Mean calls made among those with no training is at least 145. (NOTE: In this case we are only looking at salespeople who had no training.)
Null and alternate hypotheses	Ho: Write the null hypothesis here Ha: Write the alternate hypothesis here
Use z or t?	Select z or t and explain your selection.
Test statistic	Give value of the test statistic
p-value	Give value of the p-value
Hypothesis test result using p-value and alpha	Result of test: Reject Ho or Don’t Reject Ho – pick one of these. Explanation: Explain your reason for the result above. Example of what the answer should look like: “Since p-value (.0327) is less than alpha (.05), we can reject Ho.” NOTE: For all hypothesis tests, use alpha=0.05
Do the results support the claim being made?	Will we support the claim or not support the claim? Yes or No Explanation. Starting with the result of the hypothesis test, show how you came up with the conclusion to support or not support the claim. Please see my lecture notes for ideas on how to word this. Example of what the answer should look like: “Since we are rejecting Ho, we have support for Ha, which is the martian’s claim. Therefore, we can support the martian’s claim their average height is more than 24 inches”.
99% Confidence Interval for the mean	Give the 99% confidence interval for proportion receiving online training.