A university administrator was interested in determining if

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 at UF.

B. 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 at UF.

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 at UF.

D. 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 at UF.

Solution

Answer: B. 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 at UF.

Assume that the significant level a=0.05

Since P-Value = 0.305 is larger than 0.05, we do not reject the null hypothesis.