Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 7.1, Problem 9E
  1. a. Under the same conditions as those leading to the interval (7.5), P[( X ¯ − μ)/(σ/ 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).
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Assume X is normally distributed with a mean of 13 and a standard deviation of 2. Determine the value for x that solves each of the following. Round the answers to 2 decimal places. a) P(X> x) = 0.5. x = b) P(X > x) = 0.95. X = c) P(x < X < 13) = 0.2. X = i d) P(-x < X 13 < x) = 0.95. X = i e) P(-x < X - 13 < x) = 0.99. x = i

Chapter 7 Solutions

Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th

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