Consider tid measurements X₁, X₁, X₁, X₁ such that X₂ ~ N(µ,0²). Denoting by X, the sample mean, and by S2 the sample variance, let X₂-μ (a) What is the distribution of √ny?
Consider tid measurements X₁, X₁, X₁, X₁ such that X₂ ~ N(µ,0²). Denoting by X, the sample mean, and by S2 the sample variance, let X₂-μ (a) What is the distribution of √ny?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Transcribed Image Text:Consider tid measurements X₁, X2, X3, X₁ such that X; ~ N(14,0²).
Denoting by X, the sample mean, and by S2 the sample variance, let
X₁-P
Y₁
(a) What is the distribution of √nY?
(b) Compute P(-1 ≤ ≤ 1).
(c) What sample size is necessary to guarantee that the probability in (b) is at least 0.95?
You may have to use software or an online calculator for the appropriate distribution.
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