Question

Drew wondered if the average age of students in AP Statistics classes in his high school is under 18. He randomly selected 10 AP Statistics students in his school and the data set is given below. Using the information from a previous survey, he has concluded that the population standard deviation for the age of AP Statistics students in his school is 1.23. Assume that the ages of students in AP Statistics classes in this high school are normally distributed.

17

19

18

17

15

18

16

17

17

16

A calculator was used to determine the p-value for this hypothesis test. The p-value was 0.005. If the level of significance was 0.01, interpret the results.

The p-value, 0.005, is less than the level of significance, 0.01. Reject the null hypothesis that the mean age is 18. There is sufficient evidence to conclude that the mean age is under 18.

The p-value, 0.005, is less than the level of significance, 0.01. Reject the null hypothesis that the mean age is 18. There is insufficient evidence to conclude that the mean age is under 18.

The p-value, 0.005, is less than the level of significance, 0.01. Do not reject the null hypothesis that the mean age is 18. There is insufficient evidence to conclude that the mean age is under 18.

The p-value, 0.005, is less than the level of significance, 0.01. Do not reject the null hypothesis that the mean age is 18. There is sufficient evidence to conclude that the mean age is under 18.

Answer 1