And now for something completely different I bring you a break from the news. We move to a fishing tournament. Organizers of the tournament have kept careful track of the weight of largemouth bass caught over the years. They are comfortable with assuming that the mean weight of the bass in the lake is 3.5 pounds with a standard deviation of 2.2. With 12 anglers catching the maximum allowed which is 5 fish each they would like to know the probability that the mean of all 60 fish caught is more than 3 pounds. Can you help them? (Angler is another word for a person who fishes.) 1.State null and alternative hypothesis 2.Draw a picture of what you know and what you are looking for. 3.Indicate alpha and find critical value of z. 4.Show rejection region on your picture. 5.Calculate z for your test. 6.Make a decision. 7.Calculate p-value. 8.Make a decision based on p-value. Does it match decision in #6? If not go back and find your mistake.