Paranoid Pete and Sociopathic Sally play board games against each other and order pizza every Thursday night. They always split the pizza so that they get an equal number of pieces but Pete suspects that Sally consistently chooses the larger pieces. Upon confronting Sally, she says, "Stop it Pete! You're just being paranoid." Thinking to himself that her parents didn't name her "Sociopathic Sally" for nothing... Pete secretly decides to install a special scale under the coffee table on which they play their games. Over the next several weeks, Pete begins to keep track of the weight of his pieces of pizza. Having worked at the same pizzaria from which the pizzas were ordered (before he suspected that the owners were ex-KGB spies in the Federal Witness Protection Program), Pete knows that the average pizza slice weighs [4:84.188 grams. Each pizza has 8 slices. At the end of 11 weeks (and 11 pizzas), Pete finds that the mean weight of his sample of pizza slices is 83.691 and the standard deviation of his sample is 2.306. By completing the questions below, you will be able to determine whether Pete is being paranoid or Sally is being sociopathic. IMPORTANT NOTE: Pete gets 4 slices per week so the size of his sample (N) is 4*(number of weeks they play). A. What is the estimated standard error of the weight of the pizza slices? 25325;; Tries 0/10 B. What is the obtained (computed) value of the test statistic that Pete should compute to test his suspicion? $325.5; Tries 0/10 C. What is the critical value for the test statistic using a = .05? 3235's\": Tries 0/10 D. What is the appropriate conclusion? (Please choose ALL answers necessary to draw a complete conclusion) ( Reject the alternative hypothesis It appears that Pete's slices are significantly larger than the average slice (Pete is just nuts). Reject the null hypothesis. Fail to reject the null hypothesis. It appears that Pete's slices are significantly smaller than the average slice (Sociopathic Sally is at it again). There is no statistically significant evidence that Pete's slices are larger or smaller than the average slice (Pete is being Paranoid). (