Consider a sample x1, x2,…, xn and suppose that thevalues of x, s2, and s have been calculated.a. Let yi 5 xi 2 x for i 5 1,…, n. How do the values ofs2 and s for the yi’s compare to the correspondingvalues for the xi’s? Explain.b. Let zi 5 (xi 2 x)ys for i 5 1,…, n. What are thevalues of the sample variance and sample standarddeviation for the zi’s?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 64E
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Consider a sample x1, x2,…, xn and suppose that the
values of x, s2, and s have been calculated.
a. Let yi 5 xi 2 x for i 5 1,…, n. How do the values of
s2 and s for the yi’s compare to the corresponding
values for the xi’s? Explain.
b. Let zi 5 (xi 2 x)ys for i 5 1,…, n. What are the
values of the sample variance and sample standard
deviation for the zi
’s?

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