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Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution

Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution

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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The finishing time for cyclists in a race have an unknown distribution with mean $_138$_ and standard deviation $_13$_ minutes. A sample, with size $_n = 42$_, was randomly drawn from the population. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?

Expert Solution
Step 1: Determine the given data in the question

Let X be the random variable that is the finishing time for cyclists in a race.

Given that,

P o p u l a t i o n space m e a n space left parenthesis mu right parenthesis equals 138 P o p u l a t i o n space s tan d a r d space d e v i a t i o n space left parenthesis sigma right parenthesis equals 13 S a m p l e space s i z e space left parenthesis n right parenthesis equals 42


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