Question 10: In a sample of 54 business trips taken by employees in the HR depar

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Question 10: In a sample of 54 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,443 with a standard deviation of $484. In a sample of 82 trips taken by the employees in the sales department is $1,656 with a standard deviation of $638. 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) Question 11: In a sample of 41 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,463 with a standard deviation of $467. In a sample of 101 trips taken by the employees in the sales department is $1,693 with a standard deviation of $754. When testing the hypothesis (at the 10% level of significance) that the variance of the amount spent on trips taken by the sales department is higher than those taken by the HR department what is the critical value? (please round your answer to 2 decimal places)

Explanation / Answer

10) here test stat F =S22/s12 =(638/484)2 =1.7376

2) here critical value with 100 degree of freedom for numerator and 40 degree of freedom in denominator;

F critical =1.43

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