34) Following is a sample of five matched pairs. Sample 1 21...

34) Following is a sample of five matched pairs. Sample 1 21 22 20 9 19 Sample 2 18 30 14 15 22 Let $\mu_1$ and $\mu_2$ represent the population means and let $\mu_d = \mu_1 - \mu_2$. A test will be made of the hypotheses $H_0: \mu_d = 0$ versus $H_1: \mu_d > 0$. Compute the test statistic. ID: BESB8e 9.4.4-1+ 35) For the samples summarized below, test the hypothesis that the two variances are equal, at $\alpha = 0.05$ Sample variance Sample size ID: BESB8e 9.6.3-4+ Sample 1 21 10 Sample 2 11 20

Transcript

00:01 Here's a solution for 937.

00:02 We're given a sample from population one and population two and in part a we're supposed to calculate the difference between each pair by subtracting population two from observation two from observation one and then use those differences to calculate this the mean of those differences and the variants of those differences.

00:21 So what i'm going to do is i actually just already did this so if we go to a stat edit and i put him in l1l2 so that was the data that was was given.

00:32 And an l3, you can code this column to be l1 minus l2, which is what we were trying to find.

00:36 So second l1, oops, second l1 minus second l2.

00:46 And that gives us the difference.

00:48 So just to check, you know, 7 minus 4 equals 3 and so on.

00:50 So you can do this manually, but it's a lot quicker to use a calculator, i think.

00:53 And then if we go to calc, one bar stats, and then let's do l3 there.

00:58 And so that's going to give us an x bar of two.

01:02 And then a standard deviation.

01:04 Now it asks for variance, and i think this is actually the square to two.

01:07 So whenever we square that, you just get two, but we'll check anyway.

01:10 So x bar is two, so that's going to be the xd bar.

01:15 All right, and then if we do the 1 .414 -213562, and we square that.

01:24 So that was the standard deviation, and we want it squared.

01:27 So that's where we get 1 .99.

01:29 That's round us to 2.

01:31 So both of these are going to be 2.

01:33 So the mean is 2 and the variance is 2.

01:37 Okay, so then part 2, i actually already have it written up there.

01:44 Let me just make sure i can get it.

01:45 There we go...

Question

Please give Ace some feedback