I need help answering number 8 with work shown so Ill know p

A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program A, salespeople were paid a higher salary, plus a small commission for each item they sold. In program B, they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson each program. Can you conclude that the mean sales differ between the two programs? Use the minitab output to answer the following questions. Are these paired or independent samples? State the null and alternate hypotheses. Use the sigma = 0.05 level of significance to test the hypothesis. State a conclusion. What does this mean in practical terms?

Solution

A)

It is paired, as we can see, the same salespersons are in programs A and B.

*****************

b)

Here,

Ho: uA = uB
Ha: uA =/= uB [ANSWER]

******************

c)

As P > 0.05, we FAIL TO REJECT HO.

****************

d)

Thus, there is no significant evidence to say that there is a difference between the mean sales between the two programs. [ANSWER]