Which of the following descriptions best illustrate the central limit theorem? I. The central limit theorem is used to approximate the distribution of the sample mean over the distribution of the population mean. II. The central limit theorem is used to conclude that the distribution of the sample mean will be normal if the sample size is sufficiently large even if population is not normally distributed. III. The central limit theorem is used to describe the normality of the distribution of standard deviation taken from a variae that is not normally distributed. O a. I and II O b.l only O c. I, II, II O d. Il only

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Which of the following descriptions best illustrate the central limit theorem?
I. The central limit theorem is used to approximate the distribution of the sample mean over the distribution of the population mean.
II. The central limit theorem is used to conclude that the distribution of the sample mean will be normal if the sample size is sufficiently large even if the
population is not normally distributed.
III. The central limit theorem is used to describe the normality of the distribution of standard deviation taken from a variae that is not normally
distributed.
O a. I and II
O b.l only
O c.I, II, II
O d. Il only
Transcribed Image Text:Which of the following descriptions best illustrate the central limit theorem? I. The central limit theorem is used to approximate the distribution of the sample mean over the distribution of the population mean. II. The central limit theorem is used to conclude that the distribution of the sample mean will be normal if the sample size is sufficiently large even if the population is not normally distributed. III. The central limit theorem is used to describe the normality of the distribution of standard deviation taken from a variae that is not normally distributed. O a. I and II O b.l only O c.I, II, II O d. Il only
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