Many graduate programs require students to pass a comprehensive exam (or qualifying exam, or something equivalent) before being admitted into candidacy to receive the degree. Suppose the population consists of all comprehensive exams (or equivalent) that are given to students in graduate programs, and of interest is the mean number of questions asked on the comprehensive exams. It is conjectured that the mean number of questions asked on all comprehensive exams is 8, and of interest is to test this conjecture versus the alternative that the mean number of questions asked on all comprehensive exams is different from 8. Consider the information specified above. A simple random sample of 81 comprehensive exams was selected and the number of questions asked on each comprehensive exam in the sample was recorded. The mean number of questions asked for this sample of 81 comprehensive exams was 73 with a standard deviation of 3.7. The distribution of the data was slightly skewed to the left.
If appropriate, use this information to test that the mean number of questions asked on all comprehensive exams is different from 8 at the a- . 10 level of significance,
If appropriate calculate the p value. Please choose from options given below. Cannot be calculated as assumptions are not met
A cannot be
B. 0.0886
C 0.0892
D. Between 0.05 and 0.10
E. 0.0925
F. None of the above