Inferences About Population Variances: Case Problem Air Force Training Program

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Anderson, D. R., Sweeney, D. J., Williams, T. A., Camm, J. D., Cochran, J. J., Fry, M. J., & Ohlmann. J. W. (2021). Essentials of modern business statistics with Microsoft® Excel® (8th ed.). Cengage Learning.

Review Case Problem 1: Air Force Training Program Download Case Problem 1: Air Force Training Programfrom Chapter 11 of the ebook.
Step 2: Do:

Run the F-Test Two-Sample for Variances for the Data File Training (Chapter 11) using the video How to Add Excel’s Data Analysis ToolPak (Links to an external site.) for assistance.
In a managerial report,

Use appropriate descriptive statistics to summarize the training time data for each method. What similarities or differences do you observe from the sample data?
Conduct a hypothesis test on the difference between the population means for the two methods. Discuss your findings.
Compute the standard deviation and variance for each training method. Conduct a hypothesis test about the equality of population variances for the two training methods. Discuss your findings.
Explain what conclusion you can reach about any differences between the two methods. What is your recommendation? Explain.
Suggest other data or testing that might be desirable before making a final decision on the training program to be used in the future.
Step 3: Discuss:

What did you find in your analysis of the data? Were there any surprising results? What recommendations would you make based on your findings? Include details from your managerial report to support your recommendations.

SAMPLE SOLUTION

Step 2
Q1 What similarities or differences do you observe from the sample data?
The mean was separated by .36, but the mode and median are the same.
Q2 Conduct a hypothesis test on the difference between the population means for the two methods.
Ho: No difference exists in the population means for both methods.
Ha: A difference in the population means exists for both methods.
There was a slight difference in the population means; thus reasonable to accept the null hypothesis.
Q3 Compute the standard deviation and variance for each training method.
Ho: There is no difference evident between the two variances.
Ha: A difference exists between the two variances.
The two variances are different. For instance, the variance from the current technique is 15.55. The proposed technique comes with a 6.27 variance. In the proposed…