e central limit theorem tells us (select all that apply ) - that the population of a sample means  an be regarded as normal no matter what the sample size is  - that as long as the sample size is greater than 30, the parent population can be assumed about normal -that as long as the sample size is greater than 30, the distribution of the sample means is about normal  -that no matter what

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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The central limit theorem tells us (select all that apply )

- that the population of a sample means  an be regarded as normal no matter what the sample size is 

- that as long as the sample size is greater than 30, the parent population can be assumed about normal

-that as long as the sample size is greater than 30, the distribution of the sample means is about normal 

-that no matter what the parent population looks like the distribution of the sample means can be assumed to be normal

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Step 1

According to the central limit theorem, if the sample size is sufficiently large, i.e., the sample size is equal to 30 or greater than 30, the sampling distribution of the mean approaches approximate to normal distribution. The shape of the population distribution will be approximately normal as long as the sample size n is large enough.

 
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