78. Consider a sample x₁,x₂,...,x, and suppose that the values of x, s², and s have been calculated. a. Let y; = x; - x for i = 1,..., n. How do the values of s² and s for the y's compare to the corresponding values for the x's? Explain. - b. Let z; = (x; − x)/s for i = 1,..., n. What are the values of the sample variance and sample standard

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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78. Consider a sample x₁,x₂,...,x and suppose that the
values of x, s², and s have been calculated.
n
-
a. Let y¡ = x; − x for i = 1,..., n. How do the values of
s² and s for the y's compare to the corresponding
values for the x;'s? Explain.
b. Let z; = (x; - x)/s for i = 1,..., n. What are the
values of the sample variance and sample standard
deviation for the zis?
81
Transcribed Image Text:78. Consider a sample x₁,x₂,...,x and suppose that the values of x, s², and s have been calculated. n - a. Let y¡ = x; − x for i = 1,..., n. How do the values of s² and s for the y's compare to the corresponding values for the x;'s? Explain. b. Let z; = (x; - x)/s for i = 1,..., n. What are the values of the sample variance and sample standard deviation for the zis? 81
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