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2. Suppose (X₁, X2, ..., X9) is a random sample from Normal (u= 2,0² = 42). Let X be the sample mean of X₁, X₂, ..., X, and S2 be the sample variance of X₁, X₂,...,X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. a. Find P(*1-2< 1). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix ≤ a means that -a ≤x≤a.) c. Find P(|X2|< 1).

2. Suppose (X₁, X2, ..., X9) is a random sample from Normal (u= 2,0² = 42). Let X be the sample mean of X₁, X₂, ..., X, and S2 be the sample variance of X₁, X₂,...,X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. a. Find P(*1-2< 1). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix ≤ a means that -a ≤x≤a.) c. Find P(|X2|< 1).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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no immediate rounding round off final answer show pertinent solution NO use of excel function only use step-by-step
2. Suppose (X₁, X2, ...,X9) is a random sample from Normal(u = 2,0² = 4²). Let X be the sample mean of X₁, X2, ..., X, and S² be the sample variance of X₁, X2,..., X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. X₁-2 a. Find P(*¹-2< 1). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix| ≤ a means that -a ≤ x ≤a.) c. Find P(|X2|< 1). X-2 d. Find v so that Pto.05,v) = 0.05. S/3 e. What is the distribution of 9X-X9 8 and its standard error?
Transcribed Image Text:2. Suppose (X₁, X2, ...,X9) is a random sample from Normal(u = 2,0² = 4²). Let X be the sample mean of X₁, X2, ..., X, and S² be the sample variance of X₁, X2,..., X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. X₁-2 a. Find P(*¹-2< 1). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix| ≤ a means that -a ≤ x ≤a.) c. Find P(|X2|< 1). X-2 d. Find v so that Pto.05,v) = 0.05. S/3 e. What is the distribution of 9X-X9 8 and its standard error?
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