Probability and Statistics for Engineers and Scientists
Probability and Statistics for Engineers and Scientists
9th Edition
ISBN: 9780321629111
Author: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye
Publisher: Prentice Hall
Question
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Chapter 8.4, Problem 36E
To determine

Show that for sufficiently large n, Y=X1X2...Xn has approximately a lognormal distribution if X1,X2,...,Xn, is a random sample from a distribution that can take only positive values.

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Chapter 8 Solutions

Probability and Statistics for Engineers and Scientists

Ch. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Show that the sample variance is unchanged if a...Ch. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.4 - If all possible samples of size 16 are drawn from...Ch. 8.4 - Prob. 18ECh. 8.4 - A certain type of thread is manufactured with a...Ch. 8.4 - Given the discrete uniform population find the...Ch. 8.4 - Prob. 21ECh. 8.4 - The heights of 1000 students are approximately...Ch. 8.4 - The random variable X, representing the number of...Ch. 8.4 - If a certain machine makes electrical resistors...Ch. 8.4 - The average life of a bread-making machine is 7...Ch. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Consider the situation described in Example 8.4 on...Ch. 8.4 - Prob. 36ECh. 8.8 - For a chi-squared distribution, find Ch. 8.8 - For a chi-squared distribution, find Ch. 8.8 - For a chi-squared distribution, find such that ...Ch. 8.8 - For a chi-squared distribution, find such that ...Ch. 8.8 - Assume the sample variances to be continuous...Ch. 8.8 - Prob. 42ECh. 8.8 - Prob. 43ECh. 8.8 - Prob. 44ECh. 8.8 - Find P(T < 2.365) when v = 7. Find P(T > 1.318)...Ch. 8.8 - Find P(−t0.005 < T < t0.01) for υ = 20. Find P(T >...Ch. 8.8 - Given a random sample of size 24 from a normal...Ch. 8.8 - Prob. 48ECh. 8.8 - Prob. 49ECh. 8.8 - A maker of a certain brand of low-fat cereal bars...Ch. 8.8 - For an F-distribution, find f0.05 with v1 = 7 and...Ch. 8.8 - Pull-strength tests on 10 soldered leads for a...Ch. 8.8 - Prob. 53ECh. 8.8 - Prob. 54ECh. 8.8 - Prob. 55ECh. 8.8 - Prob. 56RECh. 8.8 - Prob. 57RECh. 8.8 - Prob. 58RECh. 8.8 - Prob. 59RECh. 8.8 - A random sample of 5 bank presidents indicated...Ch. 8.8 - Prob. 61RECh. 8.8 - A taxi company tests a random sample of 10...Ch. 8.8 - Prob. 63RECh. 8.8 - Prob. 64RECh. 8.8 - Prob. 65RECh. 8.8 - Consider Review Exercise 8.56. Comment on any...Ch. 8.8 - Prob. 67RECh. 8.8 - Prob. 68RECh. 8.8 - Prob. 69RECh. 8.8 - Prob. 70RECh. 8.8 - Prob. 71RECh. 8.8 - Prob. 72RECh. 8.8 - Prob. 73RECh. 8.8 - Prob. 74RECh. 8.8 - Prob. 75RE
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