Organizers of a fishing tournament have picked a large lake that they believe has a population of thousands of fish with a population mean weight of 10 lbs. One of the competitors frequently fishes at this lake. He believes the lake has been overused for tournaments and the larger fish have been removed bring down the average weight of fish still in the lake. The organizers agree to move the tournament In he can show the true mean weight is significantly less than 10 lbs. The fisherman takes a random sample of 40 fish caught in a recent tournament at this lake. The sample average was 8.9 lbs. The population standard deviation of 3.5 lbs. Use a = 0.05 to test the claim. a. State the Null and Alternative Hypotheses. b. Calculate the Mean and Standard Error. Please show work. c. Use the calculator to find the P-value and Test Statistic. Please show work. d. What is your decision based on the p-value you found? Explain. e. State your conclusion in context to the problem. f. Find the 90% confidence interval for the population average weight of fish still in the lake. Does this interval support your conclusion from the hypothesis test? (Hint: Look to see if 10 lbs inside the confidence interval?)

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