5. Fireghters' face masks often experience having their lenses fall out when exposed to very high temperatures. A manufacturer is planning to put its new masks on the market and claims that the average temperature at which its masks experience lenses popout is more than 56001:. A random sample of 20 masks of this manufacturer is tested resulting in a mean of 57501: and standard deviation 1 20F. A. Find the 99% condence interval for the average temperature at which this manufacturer's masks experience the lenses pop-out. B. At 0: =0.01, is there enough evidence to support the manufacturer's claim? Use the p-value method. 6. Molly is a busy university instructor who loves to read. Because of her busy schedule teaching and volunteering, she is only able to read in the summer. The following is the distribution of the number of books, X, she reads between May and August. Please note that the number of books she reads is independent from summer to summer. x 3 4 5 6 p(x) 0.10 0.20 0.45 0.25 A. Give the sampling distribution of the mean of the number of books Molly reads in two randomly selected summers. B. Give the expected value and variance of the sampling distribution of the mean you found in part A. C. If 36 summers are randomly selected, what is the probability that the average number of books is no more than 5