4.2.9. Let X1, X2, ..., X9 be a random sample of size 9 from a distribution that is N(μ, σ²). (b) If σ is unknown, find the expected value of the length of a 95% confidence interval for μ if this interval is based on the random variable √9(X — µ)/S. Hint: Write E(S) = (0/√√n − 1)E[((n − 1)S²/0²) 1/2].

4.2.9. Let X1, X2, ..., X9 be a random sample of size 9 from a distribution that is N(μ, σ²). (b) If σ is unknown, find the expected value of the length of a 95% confidence interval for μ if this interval is based on the random variable √9(X — µ)/S. Hint: Write E(S) = (0/√√n − 1)E[((n − 1)S²/0²) 1/2].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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