hat is the role of sample size in central limit theorem? What happens to the shape of distribution of sample mean or proportion when sample size increases? With the same sample means, what happens to the standard error if sample size increases?

hat is the role of sample size in central limit theorem? What happens to the shape of distribution of sample mean or proportion when sample size increases? With the same sample means, what happens to the standard error if sample size increases?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 7E

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Question

hat is the role of sample size in central limit theorem?

What happens to the shape of distribution of sample mean or proportion when sample size increases?

With the same sample means, what happens to the standard error if sample size increases?

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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