Answered: The central limit theorem implies which…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section13.3: Simple Regression Models

Problem 6P: Do the sales prices of houses in a given community vary systematically with their sizes (as measured...

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The central limit theorem implies which of the following:

a. The averages of many random samples (of a given sample size n) from the same population are approximately normally distributed, but only if the population is normally distributed.

b. The averages of many random samples (of a given sample size n) from the same population are approximately normally distributed with mean μ and standard deviation σ / √n , but only if the population is normally distributed.

c. The averages of many random samples (of a given sample size n) from the same population are approximately normally distributed, regardless of the shape of the population distribution, provided that n is sufficiently large.

d. None of these choices are true.

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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