Shaded diagram..3. The random variable X has a normal distribution with mean 80and standard deviation 6. Choose random samples of size 40from this distribution. Let X be the random variable of samplemeans.(5) a. What is the distribution of X ?(5) b. What is the mean of X ? y

Answered: 3. The random variable X has a normal…

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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Shaded diagram..
3. The random variable X has a normal distribution with mean 80
and standard deviation 6. Choose random samples of size 40
from this distribution. Let X be the random variable of sample
means.
(5) a. What is the distribution of X ?
(5) b. What is the mean of X ? y

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Step 1

Sampling distribution of a statistic is known as the probability distribution of all the possible values taken by the statistic, which can be selected from a specific population. The sampling distribution of a statistic will be similar for all possible samples of the same size which are selected from the same population. In this case, the shape of the sampling distribution of the mean for the selected 40 students depends on the distribution of the selected population.

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