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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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1.STATISTICAL INFERENCE
Question 1 a i)

a)
Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)
Σ=1Xi
O√n.
and Y214
=
√n
i) Show that the standard score of the sample mean >, 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=1Xi O√n. and Y214 = √n i) Show that the standard score of the sample mean >, is equal to Y.
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