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i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.

i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.

MATLAB: An Introduction with Applications
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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9.THEORY OF DISTRIBUTIONS Statistics

Mr Sepuru, a statistics class representative, during a Wednesday lecture at 11:10 decided to let X₁, X2, ..., X₁0 to be the observations from a random sample of size 10 from a distribution with density 1 √√2π 0, and ask his fellow students to answer the following questions. f(x) = , -∞0 < x < 00 elsewhere i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.
Transcribed Image Text:Mr Sepuru, a statistics class representative, during a Wednesday lecture at 11:10 decided to let X₁, X2, ..., X₁0 to be the observations from a random sample of size 10 from a distribution with density 1 √√2π 0, and ask his fellow students to answer the following questions. f(x) = , -∞0 < x < 00 elsewhere i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.
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