You have been assigned to test the hypothesis that the variability for the number of hours per week that an American works is equal to the variability for the number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country.

American

Swede

Sample standard deviation

5.5 hours

6.2 hours

Sample size

17

13

Using

alpha?equals=?0.10,

what is the conclusion for this hypothesis? test?

A.

Since the test statistic is less than the critical? value, we fail to reject the null hypothesis and conclude that the variability for the number of hours per week that an American works is equal to the variability for the number of hours per week that a Swede works

B.

Since the test statistic is more than the critical? value, we fail to reject the null hypothesis and conclude that the variability for the number of hours per week that an American works is not equal to the variability for the number of hours per week that a Swede works

C.

Since the test statistic is more than the critical? value, we reject the null hypothesis and can conclude that the variability for the number of hours per week that an American works is not equal to the variability for the number of hours per week that a Swede works

D.

Since the test statistic is less than the critical? value, we fail to reject the null hypothesis and cannot conclude that the variability for the number of hours per week that an American works is not equal to the variability for the number of hours per week that a Swede works