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.Let x,.. .,Xn be a sample, and let a and b be constants with a 0. Define a new sample y, ..., yn by y, = ax, + b. (a) How does the sample mean of the y-sample relate to the sample mean of the x-sample? Prove your assertion. (b) How does the sample median of the y-sample relate to the sample median of the x-sample? Explain,

.Let x,.. .,Xn be a sample, and let a and b be constants with a 0. Define a new sample y, ..., yn by y, = ax, + b. (a) How does the sample mean of the y-sample relate to the sample mean of the x-sample? Prove your assertion. (b) How does the sample median of the y-sample relate to the sample median of the x-sample? Explain,

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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7. Let x1, ..., Xn be a sample, and let a and b be constants with a 0. Define a new sample y, ..., Yn by y 3D ах, + b. (a) How does the sample mean of the y-sample relate to the sample mean of the x-sample? Prove your assertion. (b) How does the sample median of the y-sample relate to the sample median of the x-sample? Explain. (c) How do the sample variance and standard deviation of the y-sample relate to those of the x-sample? Prove your assertions. (d) How does the inter-quartile range of the y-sample relate to the inter-quartile range of the x-sample? Explain.
Transcribed Image Text:7. Let x1, ..., Xn be a sample, and let a and b be constants with a 0. Define a new sample y, ..., Yn by y 3D ах, + b. (a) How does the sample mean of the y-sample relate to the sample mean of the x-sample? Prove your assertion. (b) How does the sample median of the y-sample relate to the sample median of the x-sample? Explain. (c) How do the sample variance and standard deviation of the y-sample relate to those of the x-sample? Prove your assertions. (d) How does the inter-quartile range of the y-sample relate to the inter-quartile range of the x-sample? Explain.
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