Arbitron media research inc. conducted a study of the ipod listening habits of men and women. one facet of the study involved the mean listening time. it was discovered that the mean listening time for a sample of 10 men was 32 minutes per day. the standard deviation was 19 minutes per day. the mean listening time for a sample of 16 women was also 32 minutes, but the standard deviation of the sample was 9 minutes. at the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?

The null and alternative hypotheses are:

Under the null hypothesis, the test statistic is:

Therefore, the test-statistic is

 Now the F critical value at 0.02 significance level for df1 = 10- 1 =9 and df2 = 16 - 1 =15 is:

Since F statistic is greater than the F critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that there is a difference in the variation in the listening times for men and women.

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100