A student believes that the average grade on the statistics final examinations 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.