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Let X1, X2, ..X100 be 100 independent observations from a distribution X which is not normally distributed. Suppose it is known that the mean of this distribution X is 26 and the standard deviation is 6. What can we say about the sample mean X?

Let X1, X2, ..X100 be 100 independent observations from a distribution X which is not normally distributed. Suppose it is known that the mean of this distribution X is 26 and the standard deviation is 6. What can we say about the sample mean X?

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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Let X1, X2, ..X100 be 100 independent observations from a distribution X which is not normally distributed. Suppose it is known that the mean of this distribution X is 26 and the standard deviation is 6. What can we say about the sample mean x? O a x has an approximately normal distribution with mean=26 and standard deviation=6 O b x has an approximately normal distribution with mean=26 and standard deviation=0.6 None of the other answers x cannot be approximated with a normal distribution since X is not normal O e X = 2.6
Transcribed Image Text:Let X1, X2, ..X100 be 100 independent observations from a distribution X which is not normally distributed. Suppose it is known that the mean of this distribution X is 26 and the standard deviation is 6. What can we say about the sample mean x? O a x has an approximately normal distribution with mean=26 and standard deviation=6 O b x has an approximately normal distribution with mean=26 and standard deviation=0.6 None of the other answers x cannot be approximated with a normal distribution since X is not normal O e X = 2.6
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