A student believes that the average grade on the statistics final examination was 87 . A sample of 36 past 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.
a. H0: ? = 87
Ha: ? ? 87
b. test statistic t = -1.52, critical t = 2.03; do not reject H0
c. p-value is between .1 and .2; therefore, do not reject H0
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