A random variable, X, is not normally distributed, and a random sample of size n is observed. Because of the Central Limit Theorem, we can assume that the sample mean, , will be approximately normally distributed if (select all that apply):

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Could someone please help explain this to me? I have gotten the question wrong twice now. I reviewed the Central Limit Theroem and thought I was on the right track for the question but it appears I don't understand. 

A random variable, X, is not normally distributed, and a random sample of size n is observed. Because of
the Central Limit Theorem, we can assume that the sample mean, , will be approximately normally
distributed if (select all that apply):
n > 30 (the sample size is "large").
One can always assume the sampling distribution is normal.
The distribution of the random variable, X, has many outliers.
The population standard deviation is known.
Transcribed Image Text:A random variable, X, is not normally distributed, and a random sample of size n is observed. Because of the Central Limit Theorem, we can assume that the sample mean, , will be approximately normally distributed if (select all that apply): n > 30 (the sample size is "large"). One can always assume the sampling distribution is normal. The distribution of the random variable, X, has many outliers. The population standard deviation is known.
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