Question

You have been assigned to test the hypothesis that the average number of hours per week that an American works is higher than the average 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. Assume that the population variances are unequal.

	American	Swede
Sample mean	32.7 hours	28.2 hours
Sample size	15	12
Sample standard deviation	5.1 hours	6.0 hours

If Population 1 is defined as American workers and Population 2 is defined as Swedish workers, and using alpha = 0.05, the conclusion for this hypothesis test would be that because the test statistic is ________.

A. less than the critical value, you can conclude that the average number of hours per week that an American works is less than the average number of hours per week that a Swede works

B. less than the critical value, you can conclude that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works

C. more than the critical value, you can conclude that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works

D. more than the critical value, you cannot conclude that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works

Answer 1

option C is correct

C. more than the critical value, you can conclude that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works