The salespersons of the Acme Insurance Co. sell an average of 100 policies per m

Question

The salespersons of the Acme Insurance Co. sell an average of 100 policies per month, with a standard deviation of 15. Acme's resident psychologist gives a test of assertiveness to all the salespersons. Their mean on the test is 50 with SD=5. The correlation between assertiveness test scores and sales is .70.

c. Mary has an assertiveness score of 40, which is two SD's below the mean. Answer the following questions without calculating:

1. Do you predict that Mary's sales are above or below the mean of sales? (The mean of assertiveness test scores is 50)

2. Which of the following would you predict?

a. Mary's sales are probably less than 2 SD's from the mean.

b. Mary's sales are probably 2 SD's from the mean.

c. Mary's sales are probably more than 2 SD's from the mean.

Explanation / Answer

The correlation between assertiveness test scores and sales is .70.

R^2 = 0.7^2 = 0.49

which is low. So, there are other factors beside assertiveness score which determine the Mary's sales.

1) No, we cant for sure say that Mary's sales are above or below the mean of sales as R^2 is low.

2) a. Mary's sales are probably less than 2 SD's from the mean.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.