A random variable is normally distributed with μ = 200 and σ = 60. Determine the mean and the standard error of the sampling distribution of the mean for simple random samples with the following sample sizes:a. n = 25μ_x ̅ = σ_x ̅ = b. n = 100μ_x ̅ = σ_x ̅ = c. n = 144μ_x ̅ = σ_x ̅ =

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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A random variable is normally distributed with μ = 200 and σ = 60. Determine the mean and the standard error of the sampling distribution of the mean for simple random samples with the following sample sizes:

a. n = 25

μ_x ̅ = σ_x ̅ =

b. n = 100

μ_x ̅ = σ_x ̅ =

c. n = 144

μ_x ̅ = σ_x ̅ =

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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