A student believes that the average grade on the statistics final examination was 87. A sample of 36 final examinations was taken. The average grade in the sample was 83.96 with a standard deviation of 12. a. State the null and alternative hypotheses. b. Using the critical value approach, test the hypotheses at the 5% level of significance. c. Using the p-value approach, test the hypotheses at the 5% level of significance.