In: Statistics and Probability
Sony would like to test the hypothesis that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users. the following table summarizes sample statistics from each population.
PlayStation | Xbox | |
Sample Standard Deviation | 4.3 years | 4.9 years |
Sample size | 25 | 28 |
using a= 0.05, the conclusion for this hypothesis test would be that because the test statistics is
A) more than the critical value, we reject the null hypothesis and cannot conclude that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users.
B) less than the critical value, we fail to reject the null hypothesis and conclude that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users.
C) less than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users.
D) more than the critical value, we fail to reject the null hypothesis and conclude that the standard deviation for the age of PlayStation users is higher than the standard deviation for the age of Xbox users.
We will conduct F test for two variance
since varianceis square of standard deviation
Let population 1 be the play station and X box be the population 2
Option C is right