Five years ago, the average size of farms in a state was 160 acres. From a recent survey of
37 farms, the mean and standard deviation were found to be 180 acres and 36 acres, respectively.
Suppose that farm sizes are normally distributed. Is there strong evidence that the average farm
size is different than it was 5 years ago? Please explain by:
a. Conducting the appropriate hypothesis test using α = 0.05.
b. Constructing the appropriate 95% CI.