A hamburger claiming to be a Quarter Pounder should have a beef patty that weighs a quarter of a pound, i.e., 4 ounces. If it weighs more than that, the restaurant is giving away more beef than they need to. If it weight less than that, the customer is getting ripped off. In a random sample of 11 Quarter Pounder with Cheese hamburgers at McDowell's, the average weight of the beef patty was 3.90 ounces with a sample standard deviation of 0.12 ounces. Assume the weights are normally distributed. (a) Define the population parameter of interest. State an appropriate null and alternative hypothesis for this situation. (b) Calculate the test statistic for testing the null hypothesis you defined in part a. (c) Calculate the p-value for the test statistic. (d) Report your decision regarding the null hypothesis with a level of significance of = 0.05. Provide a concluding statement in the context of this situation. (e) In Homework 9, you constructed a 95% (two-sided) confidence interval for the overall average weight of beef in a Quarter Pound burger at McDowell's. Using that as evidence for the hypothesis test in part a, do you come to the same conclusion that you did in part d?