Give proper explanation Which of the following statements is true?  For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite.  For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed. For a large enough sample size, the Central Limit Theorem states that the sample medians of repeated samples of a population are normally distributed. Even with very large sample size, the Central Limit Theorem states that the sample means of repeated samples of a population cannot be normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Give proper explanation

Which of the following statements is true? 

For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite. 

For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed.

For a large enough sample size, the Central Limit Theorem states that the sample medians of repeated samples of a population are normally distributed.

Even with very large sample size, the Central Limit Theorem states that the sample means of repeated samples of a population cannot be normally distributed.

 

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