Answered: Sony wants to test the hypothesis that…

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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Question

Sony wants to test the hypothesis that the standard deviation of the ages of Playstation users is greater than the standard deviation of Xbox users. Sample statistics for the two populations are given in the table below. At the α = 0.05 significance level, it is about whether the standard deviation of the ages of the Playstation users is more than the standard deviation of the Xbox users;

Sample;

Playstation
Standard deviation: 4.3 years
Volume: 26

Xbox
Standard deviation: 3.9 years
Volume: 28

a) Construct the h0 and h1 hypotheses.
b) Show the rejection region by scanning on the distribution curve and expressing the critical value.
c) Calculate the test statistics.
d) Write down and interpret your decision as a result of the hypothesis test.

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