A student thinks that the average grade upon the statistics final examination is 87. A sample of 36 final examinations is taken. The average grade in sample is 83.96 with standard deviation of 12.
a. Describe the null and alternative hypotheses.
b. Using the standardized test statistic, test the hypothesis at the 5% level of significance.
c. Using p-value, test the hypothesis at the 5% level of significance.
d. Using a confidence interval, test the hypothesis at the 5% level of significance.