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
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Chapter 8.2, Problem 14E

(a)

To determine

Verify that the sample variance is unchanged if a constant c is added or subtracted from each of sample value.

(b)

To determine

Verify that the sample variance becomes c2 times its original value if each observation in the sample is multiplied by c.

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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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