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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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Suppose that a random sample of size n is taken from a population distribution with mean value
and
variance o?. Which of the following is true of the sampling distribution of the sample mean, X?
O The sampling distribution of the sample mean always follows a normal distribution.
O The variance of the sample mean is not affected by the sample size.
O The larger the sample size, the smaller the variance of the sample mean.
O For larger sample sizes, the expected value of the sample mean is larger.
Transcribed Image Text:Suppose that a random sample of size n is taken from a population distribution with mean value and variance o?. Which of the following is true of the sampling distribution of the sample mean, X? O The sampling distribution of the sample mean always follows a normal distribution. O The variance of the sample mean is not affected by the sample size. O The larger the sample size, the smaller the variance of the sample mean. O For larger sample sizes, the expected value of the sample mean is larger.
A random sample of size n = 15 is taken from a lognormal distribution with parameters u = 1.2 and o?
%3D
0.35. Find the expected value of the sample mean, X.
(Answer as a decimal number, and round to 3 decimal places).
Transcribed Image Text:A random sample of size n = 15 is taken from a lognormal distribution with parameters u = 1.2 and o? %3D 0.35. Find the expected value of the sample mean, X. (Answer as a decimal number, and round to 3 decimal places).
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