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7) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equ 9. Let S² which defines the sample variance be given as S² = ½ Σ₁(X; – X). If P(S² ≤ k) = 0.05, wh the value of k?

7) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equ 9. Let S² which defines the sample variance be given as S² = ½ Σ₁(X; – X). If P(S² ≤ k) = 0.05, wh the value of k?

Calculus For The Life Sciences
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(iv) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equal to 9. Let S² which defines the sample variance be given as S² = ½ Σ1(Xį – X). If P(S² ≤ k) = 0.05, what is the value of k?
Transcribed Image Text:(iv) Let X₁, X2,..., X4 be a random sample from a normal distribution with unknown mean and variance equal to 9. Let S² which defines the sample variance be given as S² = ½ Σ1(Xį – X). If P(S² ≤ k) = 0.05, what is the value of k?
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