I don't understand this problem. It's using split t test.

7. The following information was obtained from two independent sample selected from two normally distributed populations with unequal population variances. sample 1 2 3 4 5 10 1 1 7 3 9 sample 2 3 4 6 6 5 27 7 3 Let / be the mean of population 1 and /2 be the mean of population 2 Test if u is different from #2. (a) (3 points) State the null hypothesis and alternative hypothesis (b) (3 points) Find the test statistic (c) (2 points) If the type-I error a = 0.05, find the critical value(s) and shade the rejection region(s) (d) (2 points) Base on the type-I error a and rejection region(s), given above, what is your conclusion? You may find the following statistical output useful sample 1 n1=9 21 = 6 81 = 3.354 sample 2 n2=8 12 = 7.625 82 = 7.96308