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In a sample of 59 business trips taken by employees in the HR department, a comp

ID: 3364214 • Letter: I

Question

In a sample of 59 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,459 with a standard deviation of $468. In a sample of 84 trips taken by the employees in the sales department is $1,648 with a standard deviation of $558. When testing the hypothesis (at the 5% level of significance) that the average amount spent on trips taken by the sales department are higher than those taken by the HR department what is the test statistic? (please round your answer to 2 decimal places)

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)

Hypothesis test results:

Hence,

Test statistic = -2.19

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -189 86.133533 136.53104 -2.1942674 0.985
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