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 at least 3.5 pounds with a standard deviation of 2.2 lbs. They take a random sample of 12 anglers, each catching the allowed maximum of 5 fish. The mean weight of all of the fish in the sample is 3.0 pounds. Does the evidence support the organizers' opening assumption if they use a 5% significance level? What about is they use a 10% significance leve. (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. Clearly indicate the reject and do not reject region.
3. Indicate alpha and find critical value of z.
4. Show rejection region on your picture.
5. Calculate z for your test. Pay attention to the sign of z.
6. Make a decision. Describe how you reached your 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.