Question

A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output?

Difference = mu (F) - mu (M)
T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21
A. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is different for men and women.
B. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
C. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.

Answer 1

D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.

Explanation:

What we are testing?

If the distance students travel to get from class is statistically different for men and women.

How we take the decision?

The significance level is the standard of 0.05.

If the p-value is greater than 0.05, there is no evidence that the distances are statistically different for the population.

If the p-value is less than 0.05, there is evidence that the distances are statistically different different for the population..

In this question:

p-value: 0.305 > 0.05, so there is no statistically significant evidence that the means are difference, and the correct answer is given by option d.