Aegis Inc. is a home inspection firm based in the Northern Virginia area. The President of the company, Ms. Rose Wilson, is concerned about the morale of the sales team.  Ms. Wilson had contracted a local firm to survey the employees of Aegis Inc. and the results were delivered to her in an EXCEL spreadsheet. She has tasked her Vice President of Human Resources, Mark Wolfe, to analyse the results of the survey and to report the results to her.  Ms. Wilson told Mark that she was concerned about the attitudes of the sales force.  In addition to the questions that were asked some additional data were recorded: the most recent base annual salary, commission and total pay, the years of seniority, the sales region of the individual, the gender (0=male, 1=female) and the number of contracts written in the pay period.

 

The survey instructions indicated that the first 5 questions were measured using a 5-point scale using the following key: 1 = strongly disagree, 2 = disagree, 3 = neither agree nor disagree, 4 = agree, 5 = strongly agree. The questions were as follows:

 

Q1:       Aegis Inc. has a good mentoring program

Q2:       Aegis Inc. is committed to delivering good value to customers

Q3:       Aegis Inc. has very traditional and conservative values

Q4:       Aegis Inc. company practices favor men

Q5:       Aegis Inc. has a lot of internal power politics.

 

The final question used a 1-10 scale:

Q6:       On a numeric scale, where 0 means totally autocratic and 10 means totally democratic, how would you rate the management style at Aegis Inc.?

 

There are only 2 divisional managers for Aegis Inc. The geographic regions of the sales team are as follows:

 

Region Number	Divisional  Manager	Area	Size of Sales Force
1	A	South East	60
2	A	North East	93
3	A	Midwest	59
4	B	South West	49
5	B	Mountain States	80
6	B	West Coast	67
		Total	408

 

Region 4 was only established eight months ago. Prior to that time, the branches were part of Regions 1, 5 and 6.

 

               

 

 

 

 

      Answer the following questions involving Inferential Statistics

 

1)     Is there a relationship between years of seniority and commission pay for the sample? The population? (Hint: Use a Scatter chart- the scatter chart is required and should be displayed for this question.) If you determine if there is a relationship comment if the relationship is linear, curvilinear or something else. Does it change as the values change? Discuss fully.

 

 

 

 

 

 

 

 

 

 

 

2)     Is there a relationship between years of seniority and total pay for the sample? The population? (Hint: Use a Scatter chart- the scatter chart is required and should be displayed for this question.) If you determine if there is a relationship comment if the relationship is linear, curvilinear or something else. Does it change as the values change? Discuss fully.

 

 

 

 

 

 

3)     Is there a large or small difference in your answers for the sample and the population for questions 8, 9 and 10?   (Hint: Compare the Scatter charts- the scatter charts in the prior questions can be referred to or you can copy them here.) Discuss fully.