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?