A Student Believes That the Average Grade on the Statistics

question 79

Essay

A student believes that the average grade on the statistics final examination is 87. A sample of 36 final examinations is taken. The average grade in the sample is 83.96. The population variance is 144.
a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 5% level of significance.
c.Using a 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.
e.Compute the probability of a Type II error if the average grade on the final is 85.

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