Answered: Use the central limit theorem to find…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.

The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of

114

pounds and a standard deviation of

39.2

pounds. Random samples of size

are drawn from this population and the mean of each sample is determined.

μx=enter your response here

σx=enter your response here

(Round to three decimal places as needed.)

Sketch a graph of the sampling distribution. Choose the correct graph below.

9.0 -105.0123.0

A normal curve is over a horizontal x overbar axis labeled from negative 105.0 to 123.0 and is centered on 9.0.

114 87.0141.0

A normal curve is over a horizontal x overbar axis labeled from 87.0 to 141.0 and is centered on 114.

114 96.0132.0

A normal curve is over a horizontal x overbar axis labeled from 96.0 to 132.0 and is centered on 114.

9.0 -333.0351.0

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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