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What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.

What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.
Transcribed Image Text:What is the central limit theorem in statistics? A) It states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution. B) It asserts that the mean of a large sample drawn from a population will be approximately equal to the population mean. C) It describes the relationship between the standard deviation of a population and the standard deviation of the sample. D) It states that outliers have a significant impact on the mean of a sample.
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