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ssume the random variable  has a mean of 30 and a standard deviation of 6. Consider taking repeated random samples of 30 observations from the random variable  and calculating the mean, , for each sample. Calculate the probability that  is greater than 28

ssume the random variable  has a mean of 30 and a standard deviation of 6. Consider taking repeated random samples of 30 observations from the random variable  and calculating the mean, , for each sample. Calculate the probability that  is greater than 28

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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Assume the random variable  has a mean of 30 and a standard deviation of 6. Consider taking repeated random samples of 30 observations from the random variable  and calculating the mean, , for each sample. Calculate the probability that  is greater than 28. 

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Step 1: Given data,

A space p o p u l a t i o n space m e a n colon mu equals 30 A space p o p u l a t i o n space s t a n d a r d space d e v i a t i o n colon sigma equals 6 A space s a m p l e space s i z e colon n equals 30 space T h e space p r o b a b i l i t y space t h a t space space a space s a m p l e space m e a n space space i s space g r e a t e r space t h a n space 28 space i s space equals ?

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