Assume that the two samples are independent simple random samples selected from normally distributed populations and population standard deviations are equal (sigma 1equalssigma 2), so that the standard error of the difference between means is obtained by pooling the sample variances. a researcher was interested in comparing the amount of time spent watching television by women and by men. independent simple random samples of 14 women and 17 men were selected and each person was asked how many hours he or she had watched television during the previous week. the summary statistics are as follows. women men x overbar 1 equals 12.3 hrs s1equals4.6 hrs n1equals14 x overbar 2 equals 17.1 hrs s2equals4.9 hrs n2equals17 construct a 95% confidence interval for mu 1 minus mu 2 comma the difference between the mean amount of time spent watching television for women and the mean amount of time spent watching television for men.