Tutorial Exercise A random sample is selected from a population with mean = 160 and standard deviation 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n-4 (b) n=14 (c) n = 64
Tutorial Exercise A random sample is selected from a population with mean = 160 and standard deviation 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n-4 (b) n=14 (c) n = 64
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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Tutorial Exercise
A random sample is selected from a population with mean μ = 160 and standard deviation = 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes.
(a) n = 4
(b) n = 14
(c) n = 64
(d) n = 125
(e) n = 169
(f) n = 500
Step 1
(a) n = 4
We are given that a random sample is selected from a population with mean μ = 160 and standard deviation = 13. We are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, X, for the sample size n = 4.
Recall the general properties of the sampling distribution x. The mean is μ = μ, and the standard deviation is
=
σ--
H= = μ
13
0
√n
We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact.
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