Which of the following is guaranteed by the central limit theorem? The sampling distribution of certain classes of statistics will always be normally distributed regardless of the shape of the parent population. As sample size increases, the sampling distribution of x-bar will more closely approximate the normal curve when the sampled population has a nonnormal shape. The sampling distribution of x-bar is always normally distributed. The sampling distribution of x-bar will always have the same shape as the sampled population.

Central limit theorem:Central limit theorem is defined as the sampling distribution of any…

Answered: Which of the following is guaranteed by…

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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Which of the following is guaranteed by the central limit theorem?

		The sampling distribution of certain classes of statistics will always be normally distributed regardless of the shape of the parent population.
		As sample size increases, the sampling distribution of x-bar will more closely approximate the normal curve when the sampled population has a nonnormal shape.
		The sampling distribution of x-bar is always normally distributed.
		The sampling distribution of x-bar will always have the same shape as the sampled population.

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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