Which of the following is an incorrect statement? The larger the value of the sample size, the closer the standard deviation of the sampling distribution of the sampli mean is to the standard deviation of the population. The sampling distribution of the sample mean has mean equal to the population mean even if the population is no normally distributed. When the sample size is large, the sampling distribution of the sample mean is approximately normal even if the population is not normally distributed. The sampling distribution of the sample mean is exactly normal if the population has a normal distribution.

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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QUESTION 9
Which of the following is an incorrect statement?
The larger the value of the sample size, the closer the standard deviation of the sampling distribution of the sample
mean is to the standard deviation of the population.
The sampling distribution of the sample mean has mean equal to the population mean even if the population is not
normally distributed.
When the sample size is large, the sampling distribution of the sample mean is approximately normal even if the
population is not normally distributed.
The sampling distribution of the sample mean is exactly normal if the population has a normal distribution.
Transcribed Image Text:QUESTION 9 Which of the following is an incorrect statement? The larger the value of the sample size, the closer the standard deviation of the sampling distribution of the sample mean is to the standard deviation of the population. The sampling distribution of the sample mean has mean equal to the population mean even if the population is not normally distributed. When the sample size is large, the sampling distribution of the sample mean is approximately normal even if the population is not normally distributed. The sampling distribution of the sample mean is exactly normal if the population has a normal distribution.
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