The principal of Berkeley High School has read that on avera

The principal of Berkeley High School has read that, on average, a high school student will miss 15 days of class per school year. He is curious if his high school is letting students have too many sick days, so he takes a random sample of 40 students\' attendence records, and finds that the sample average is 22 days missed with a sample standard deviation of 8 days. If he decides to test the hypothesis H0: mu = 15 days against Ha: mu not = 15 days using this sample, what distribution does he use and what p-value does he find?

Select one:

a. He uses the T distribution with 40 degrees of freedom, and finds a p-value of less than 0.05.

b. He uses the T distribution with 40 degrees of freedom, and finds a p-value greater than 0.01.

c. He uses the T distribution with 39 degrees of freedom, and finds a p-value between 0.01 and 0.05.

d. He uses the T distribution with 39 degrees of freedom, and finds a p-value of less than 0.05.

e. He uses the T distribution with 29 degrees of freedom, and finds a p-value greater than 0.01.

Solution

e. He uses the T distribution with 29 degrees of freedom, and finds a p-value greater than 0.01.