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.
E) None of the above.

Question

Quizplus · Accepted Answer

The t-test for two means is appropriate when comparing the means of two independent samples, which is the case for the women and men employees in this scenario. The fact that they are employed by the same company does not make them dependent or matched samples since they do not directly influence each other's personal time taken. Therefore, choice B is the best option.

Data Were Collected on Annual Personal Time (In Hours) Taken