Use the theory of Exercises 14.24 and 14.26, as well as the quantities already calculated in Exercise 14.51 for the data of Exercise 14.42, to find
(a) A 99% confidence interval for the expected number of deaths in a group of 25 mice when the dosage is 9 milligrams;
(b) 99% limits of prediction of the number of deaths in a group of 25 mice when the dosage is 9 milligrams.