13.

A random sample of 16 students selected from the student body at WSU had an average age of 25.6 years and a standard deviation of 2.7 years. We want to determine if the average age of all the students at WSU is significantly more than 24. Assume the distribution of the population of ages is normal. The hypothesis test is conducted at a 0.05 level of significance.

What is the correct conclusion?

A. We fail to reject the null hypothesis, and conclude that the average age of all students is statistically significantly more than 24.

B. We cannot accept or reject the null hypothesis, we need to know the standard deviation in order to solve the problem

C. We reject the null hypothesis, and conclude that the average age of all students is not statistically significantly more than 24.

D. We accept the null hypothesis, and conclude that the average age of all students is not statistically significantly more than 24.

E. We fail to reject the null hypothesis, and conclude that the average age of all students is not statistically significantly more than 24.

F. We cannot accept or reject the null hypothesis, we need to increase the sample size of the study

G. We reject the null hypothesis, and conclude that the average age of all students is statistically significantly more than 24.

H. We accept the null hypothesis, and conclude that the average age of all students is statistically significantly more than 24.