Each question involves statistical inference regarding bivariate relationships. In addition to providing relevant MINITAB 18 output, clearly state your conclusion within the context of the question.

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MBA 501A – [STATISTICS]

ASSIGNMENT 4

 

INSTRUCTIONS: Each question involves statistical inference regarding bivariate relationships.  In addition to providing relevant MINITAB 18 output, clearly state your conclusion within the context of the question.  All data sets for this assignment are provided (you can download them from Engage).

 

Paste relevant Minitab output into one WORD document, and submit this WORD document to the drop box by the deadline.  Separate Minitab files will not be accepted. This assignment is worth 50 points.  

 

[12 pts]            1.         Use the data set EXECUTIVE.MTW. A leading CEO mentoring organization

offers a program for chief executives, presidents and business owners with a focus on developing entrepreneurial skills.  Are perceptions of the program’s value the same for men and women?  Perform the Chi Square test for independence. Use α = 0.05.  Explain your results.

 

[12 pts]            2.         Use the data set ACADEMIC SALARIES.MTW.  Perform the Chi                                             Square test for independence to determine whether subject and degree are related.                                    Use α = 0.05.  Explain your results.

 

[26 pts]            3.         Use the data set POLICE SALARIES.MTW.  What affects the amount of

violent crime?  This file contains data on amount of Violent Crime (crimes per 100,000 population), Police Officer Wage (mean$/hour) and Graduation Rate (%) for 40 states.        

 

[6 pts]              (a)        Is Police Officer Wage significant in explaining violent

crime rate at?  Justify your conclusion.

 

[5 pts]              (b)        What percent of the variability in violent crime rate is

explained by Police Officer Wage?

 

 

[6 pts]              (c)        Is Graduation Rate significant in explaining violent crime

rate at?  Justify your conclusion.

 

[3 pts]              (d)       Which model is better for predicting violent crime rate?

Explain. 

 

[6 pts]              (e)        Construct residual plots for the “better” model and               interpret.


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