Can a normal approximation be used for a sampling distribution of sample means from a population with μ=36 and σ=6, when n=49? A. No, because the standard deviation is too small. B. No, because the sample size is more than 30. C. Yes, because the mean is greater than 30. D. Yes, because the sample size is at least 30.

Can a normal approximation be used for a sampling distribution of sample means from a population with μ=36 and σ=6, when n=49? A. No, because the standard deviation is too small. B. No, because the sample size is more than 30. C. Yes, because the mean is greater than 30. D. Yes, because the sample size is at least 30.

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 8E

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Question

Can a normal approximation be used for a sampling distribution of sample means from a population with μ=36 and σ=6, when n=49?

A. No, because the standard deviation is too small.
B. No, because the sample size is more than 30.
C. Yes, because the mean is greater than 30.
D. Yes, because the sample size is at least 30.

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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