This year Carroll graduates 8 physics majors, and each of them takes a standardized national physics test. All students across the country who take this test have an average score of 71, and the...

This year Carroll graduates 8 physics majors, and each of them takes a standardized national physics test. All students across the country who take this test have an average score of 71, and the scores are normally distributed. The scores of these 8 students are as follows: 56 58 67 69 79 96 97 97

Test to see if the sample mean is significantly different from 71 at the 0.1 level.

Report the test statistic

 and p value