Answered: According to the central limit theorem,…

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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According to the central limit theorem, for a relatively large sample size, the variable xbar is approximately normally distributed.

^{a. What rule of thumb is used for deciding whether the sample size is relatively large?}

^{b. Roughly speaking ,what property of the distribution of the variables under consideration determines how large the sample size must be for a normal distribution to provide an adequate approximation to the distribution of xbar}

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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