Question: A lawyer believes that a certain judge imposes prison sentences for property crimes that are longer than the state average 11.7 months. He randomly selects 36 of the judge's sentences and obtains mean 13.8 and standard deviation 3.9 months.
a. Perform the test at the 1% level of significance using the critical value approach.
b. Compute the observed significance of the test.
c. Perform the test at the 1% level of significance using the p-value approach. You need not repeat the first three steps, already done in part (a).