Question

Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The t- test for two means is appropriate in this situation because

A. women and men are dependent samples.

B. women and men are independent samples.

C. women and men are matched samples.

D. the observations are paired.

Answer 1

option A is incorrect because the women and men are not dependent samples as they are not related or they are not tested more than once.

option B is correct because women and men are independent samples as we can see that they have nothing paired or related which makes this sample independent.

option C is incorrect because paired sample or matched sample or dependent sample is same thing and we already stated that women and men have nothing related or paired, so it is not matched sample.

option D is also incorrect as the observations are not paird, but different for women and men.

so, B is the correct answer