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a. If a constant c is added to each xi in a sample,

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 42E Chapter 1

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 42E

a. If a constant c is added to each xi in a sample, yielding yi = xi + c, how do the sample mean and median of the yis relate to the mean and median of the xis? Verify your conjectures. b. If each xi is multiplied by a constant c, yielding yi = cxi, answer the question of part (a). Again, verify your conjectures.

Step-by-Step Solution:

Answer : Step 1 of 2: a) If a constant c is added to each xi in a sample, yielding yi = xi + c Then how do the sample mean and median of the yis relate to the mean and median of the xis. Then, Mean is y i y = n (xi+ c) = n xi nc = n + n = x + c the median of ( x1+ c, x + 2 + ……. + x + c n ) Median of ( x +x + ……..+ x ) +c = x + c 1 2 2

Step 2 of 2

Chapter 1, Problem 42E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

The full step-by-step solution to problem: 42E from chapter: 1 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The answer to “a. If a constant c is added to each xi in a sample, yielding yi = xi + c, how do the sample mean and median of the yis relate to the mean and median of the xis? Verify your conjectures. b. If each xi is multiplied by a constant c, yielding yi = cxi, answer the question of part (a). Again, verify your conjectures.” is broken down into a number of easy to follow steps, and 65 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. This full solution covers the following key subjects: conjectures, yielding, verify, constant, sample. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Since the solution to 42E from 1 chapter was answered, more than 604 students have viewed the full step-by-step answer.

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a. If a constant c is added to each xi in a sample,

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