wnich of the following is false about the central limit theorem (CLT)? O The CLT states that the sampling distribution will be centered at the true population parameter. O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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which of the following is false about the central limit theorem (CLT)?
O The CLT states that the sampling distribution will be centered at the true population parameter.
O If we take more samples from the original population, the sampling distribution is more likely to be nearly
normal.
O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal,
regardless of the sample size.
As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal,
regardless of the shape of the original population distribution.
Transcribed Image Text:which of the following is false about the central limit theorem (CLT)? O The CLT states that the sampling distribution will be centered at the true population parameter. O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
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