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n a sample of 59 business trips taken by employees in the HR department, a compa

ID: 3364221 • Letter: N

Question

n 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 $1,495 with a standard deviation of $458. In a sample of 87 trips taken by the employees in the sales department is $1,656 with a standard deviation of $642. When testing the hypothesis (at the 5% level of significance) that the variance of the amount spent on trips is significantly larger in one department than the other, 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 variance summary hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 > 1

Hypothesis test results:

Hence,

Test statistic = 1.96

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 86 58 1.9648939 1.9648939 0.0034