6. The following information is obtained from two independent samples selected from two normally distributed populations: n1 = 15 X1 = 29.8 01 = 3.3 n2 = 16 X2 = 32.3 02 = 3.7 1. [5 points] Construct a 95% confidence interval for the difference between the two populations. II. [10 points ] Test at a 2.5% significance level if /1 is smaller than M2. a) State hypothesis Ho: HI: b) What distribution do you use in this problem? c) Draw distribution and show rejection region(s). Find critical values. d) Find the test statistic value. e) Make a conclusion