a. Explanation Given info: The parameter values are μ = 100 , σ = 16 and the statistics are n = 4 , s = 12 and x ¯ = 108 . Calculation: Standardized version of x ¯ : The random variable x is distributed normally with the known parameter values mean μ and standard deviation σ , then for the samples of size n the variable z will be having the standard normal distribution with mean 0 and standard deviation 1. The variable z is known as standardized version of x ¯ . The standardized version of x ¯ is represented as, z = ( x ¯ − μ ) σ n The standardized z follows standard normal distribution with mean 0 and standard deviation 1 b. To determine To find: The studentized version of x ¯ for the given situation.

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 8.3, Problem 109E

To determine

To find: The standardized version of x¯ for the given situation.

To determine

To find: The studentized version of x¯ for the given situation.

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Chapter 8.3, Problem 108E

Chapter 8.3, Problem 110E

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