ecall the sugar content of the syrup in canned peaches from the previous homework. uppose that the variance is thought to be 18 (milligrams) 2. Recalls that a random lmple of 10 can yield a sample standard deviation of 4.8 milligrams. a. Test the hypothesis that the variance is indeed 18 using u=0.05. Find the P- value for the test b. Suppose that the actual standard deviation is twice as large as the hypothesized value. What is the probability that this difference will be detected by the test described in part (a)? c. Suppose that the true variance is 40. How large a sample would be required to detect this difference with probability of at least 0.9? researcher claims that at least 10% of all football helmets have manufacturing flaws lat could potentially cause injury to the user. A sample of 200 helmets revealed that 3 helmets contained such defects. a. Does the finding support the researcher's claim? Use u=0.01. Find the P-value b. Explain how the question in part (a) could be answered with a confidence interval onsider the following frequency table of observation on the random number X _ ______ ased on these 50 observations, is a binomial distribution with n=6 and p=O.25 an )propriate model? Performa goodness-of-fit procedure with d=0.05. id the survival rate for passengers on the Titanic really depend on the type of ticket ley had? Following are data for the 2201 people on the board listed by whether they 1rvived and their ticket type. Does survival appear to be independent of ticket class? est the hypothesis at o=0.05) What is the P-value of the test statistic