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Question 5 1 pts A manager would like to know if the performance of sales repres

ID: 3173570 • Letter: Q

Question

Question 5 1 pts A manager would like to know if the performance of sales representatives significantly (a- .05) improves over the first 6 months of employment. For 5 new sales representatives, the number of sales in the first month is recorded and the number of sales in the sixth month is recorded. The sales numbers at the 1st and 6th month are given below. What is the test statistic, decision, and appropriate conclusion for this repeated measures t-test? 6th 1st 145 150 120 220 140 100 155 155 90 80

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between 6th and 1st
H0 : D = 0
HA : D > 0
Hypothesis test results:

So,

t - stat = 1.496

and corresponding p - value = 0.1045 > 0.05, fail to reject the null hypothesis.

Therefore,

Result suggests that the performance of sales representatives doesn't significantly improve over the first 6 months of employment.

Marked option i.e. Option 7 is correct.

Difference Mean Std. Err. DF T-Stat P-value 6th - 1st 29 19.390719 4 1.4955608 0.1045
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