According to the Central Limit Theorem, the distribution of sample means is NOT normal if _________________. A)The population from which the samples are selected is not normally distributed and the sample size is small (n < 30). B)The population from which the samples are selected is not normally distributed and the sample size is large (n >= 30). C)The population from which the samples are selected is normally distributed and the sample size is small (n < 30). D)The population from which the samples are selected is normally distributed and the sample size is large (n >= 30).

From the given information we want to find correct option.

Answered: According to the Central Limit Theorem,…

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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According to the Central Limit Theorem, the distribution of sample means is NOT normal if _________________.

	A)	The population from which the samples are selected is not normally distributed and the sample size is small (n < 30).
	B)	The population from which the samples are selected is not normally distributed and the sample size is large (n >= 30).
	C)	The population from which the samples are selected is normally distributed and the sample size is small (n < 30).
	D)	The population from which the samples are selected is normally distributed and the sample size is large (n >= 30).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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