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True or False: 1. The central limit theorem only works when the population comes from a normal distribution.

True or False: 1. The central limit theorem only works when the population comes from a normal distribution.

Calculus For The Life Sciences
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 53E
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True or False: 1. The central limit theorem only works when the population comes from a normal distribution. 2. When the population is normally distributed, the sample size need not be large (i.e. n>30) for the sampling distribution of X to be normally distributed. 3. SRSWOR is a sample from an infinite population. 4. SRSWR is a sample from a finite population. 5. The t-distribution approaches the z-distribution as you decrease the degrees of freedom.
Transcribed Image Text:True or False: 1. The central limit theorem only works when the population comes from a normal distribution. 2. When the population is normally distributed, the sample size need not be large (i.e. n>30) for the sampling distribution of X to be normally distributed. 3. SRSWOR is a sample from an infinite population. 4. SRSWR is a sample from a finite population. 5. The t-distribution approaches the z-distribution as you decrease the degrees of freedom.
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