i) Show that the standard score of the sample mean X, is equal to Y.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
a)
Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)
Σ=1 Xi
and Y = -√n.
√√n
i) Show that the standard score of the sample mean X, is equal to Y.
Transcribed Image Text:a) Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1) Σ=1 Xi and Y = -√n. √√n i) Show that the standard score of the sample mean X, is equal to Y.
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