) True or False. a.) Based on the central limit theorem, the distribution of sample means will be approximately normal when the sample size is large. b.) If the standard deviation of a variable is 15 and the sample of 100 individuals is selected, then the sample size of 200 is needed to double the standard error of the mean. c.) The central limit theorem applies to the sample means selected from different population.

) True or False. a.) Based on the central limit theorem, the distribution of sample means will be approximately normal when the sample size is large. b.) If the standard deviation of a variable is 15 and the sample of 100 individuals is selected, then the sample size of 200 is needed to double the standard error of the mean. c.) The central limit theorem applies to the sample means selected from different population.

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

1.) True or False.

a.) Based on the central limit theorem, the distribution of sample means will be approximately normal when the
sample size is large.

b.) If the standard deviation of a variable is 15 and the sample of 100 individuals is selected, then the sample size of 200 is needed to double the standard error of the mean.

c.) The central limit theorem applies to the sample means selected from different population.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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