Chapter 7.1, Problem 9E

1. a. Under the same conditions as those leading to the interval (7.5), P[( $\bar{X}$ − μ)/(σ/ $\sqrt{n}$) < 1.645] = .95. Use this to derive a one-sided interval for μ that has infinite width and provides a lower confidence bound on μ. What is this interval for the data in Exercise 5(a)?
2. b. Generalize the result of part (a) to obtain a lower bound with confidence level 100(1 - α)%.
3. c. What is an analogous interval to that of part (b) that provides an upper bound on μ? Compute this 99% interval for the data of Exercise 4(a).