Question in picture.

Question 7 20 pts (20 points total) In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars in her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court les in her home town and finds that i = 21.4 months and S = 7 . Use a 5% signicance level to perform the test. Assume normally distributed population. Perform critical-value (classical) test. Be sure to identify the null and alternate hypotheses and interpret your results. a. Hypothesis: (5 points) b. Test statistic: (5 points) c. Critical-value: (5 points) d. Hypothesis test conclusion and interpretation: (5 points)