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.
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.
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)