For Exercises 1 through 12, use the Kruskal-Wallis test and...

For Exercises 1 through $12,$ use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Sodium Content of Microwave Dinners Three brands of microwave dinners were advertised as low in sodium. Random samples of the three different brands show the following milligrams of sodium. At $\alpha=0.05,$, is there a difference in the amount of sodium among the brands? (Table cannot copy)

Transcript

00:01 So let's do the statistics problem, but before i get started, i recommend that you do the question yourself and come back to see if you got it right or not.

00:10 So hopefully you've done the question yourself.

00:11 Now let's work on it together.

00:13 So this is the data that we're given.

00:15 And basically we're asked to use the wallace test and we want to find the hypothesis, critical value, test value, decision, making, summary results, etc.

00:24 Etc.

00:25 Using all of this data and we're given that alpha or the level of significance is 0 .05 so that would be important in our calculations as well.

00:37 Sorry the image is pretty bad i had to put it up from a textbook.

00:41 Anyway so we're going to start with the first part of this question which is stating the hypothesis so that is usually the first step of every hypothesis testing question so what we want to do is always talk about the null hypothesis and the alternative hypothesis.

00:57 So we have our null hypothesis.

01:01 And the null hypothesis is whenever you see the null hypothesis, it should usually be no difference.

01:11 So there's no difference, there's no significant difference.

01:14 Whenever you say something about that, there's always usually a no, no difference, no statistical difference, no significant difference, between the claim that is being asked in the question, which in this case is the difference in mathematics literacy scores.

01:31 So we would say no difference in math literacy scores for the different parts.

01:49 And then the alternative hypothesis is always the opposite.

01:54 There is a difference.

01:56 So there is in the math.

02:05 Mathematics literally scores for the different parts.

02:08 That's our claim.

02:09 So just remember, no hypothesis is always no difference in the claim and alternative hypothesis.

02:15 There is a difference in the claim.

02:17 So that is pretty simple, right? so we will go to our second part of the question, which is computing the critical value.

02:26 Since the sample size k is three, there are basically two degrees of freedom and the alternative hypothesis is donated as a two -tail test.

02:54 So when we do sample size and 1 we get the degrees of freedom.

02:57 In this case, the degree of freedom is 2.

03:01 And the alternative hypothesis is donated as a two -tail test.

03:05 So the critical value that is obtained from table g when alpha is 0 .05 and 2 degrees of freedom is so basically finding k, when alpha is 0 .005, and 2 degrees of freedom, we should find from the table that it is 5 .991.

03:28 Hopefully you guys have gotten the same question.

03:30 Pretty straightforward.

03:31 You just have to look at the table and find it from there.

03:35 Okay, so the next part of this question is finding the test value.

03:42 And for this, we're going to have to use the...

03:44 I mean, hopefully you've got a rear about this.

03:46 To use the mini tab function to analyze the given data.

03:53 So what we're going to have to do is choose stat and then non -paramatics, parametrics, right? and then that's supposed to be an s.

04:23 And then in the response, we have to enter the column of scores...

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