Five sections of the same elementary mathematics course are...

Five sections of the same elementary mathematics course are taught by 5 different teachers. Test the homogeneity of variances among the five sections at significance level alpha = 0.01 using the Bartlett test. To accomplish this, specify the appropriate null and alternate hypotheses. Teacher 1 Teacher 2 Teacher 3 Teacher 4 Teacher 5 Group Sample Size ni 12 15 13 10 11 Group Mean xi 68.08 71.40 64.46 74.70 77.36 Group Variance si^2 343.90 327.97 414.60 127.57 121.05

Transcript

00:01 Hi, i'm david and i'm hed jhabian, in your question.

00:03 In the question here, we are going to discuss about the hyperstasting using the anova.

00:10 Here we want to test whether the time spent on homework is different from three distinct classroom for the mid -smith, miss jones, and miss griffin.

00:21 So we have in the part a, we need to state the nun and alternative hypothesis.

00:27 The nunn hypothesis that the m1 equal to the m -2 equal to the mute 3 versus the own tentative hypothesis that not all three means are the same.

00:49 And for the question b, we need to compute the f actual.

00:54 You need to do it.

00:55 We need to formulate the anova table here.

01:05 So the first one will be the source.

01:09 And then we have the sum of square.

01:11 We have the degree of freedom.

01:14 We have the mean square.

01:16 And after that we have the f.

01:18 Now the first one we will have the between and then the within and we have the total.

01:33 We have the total sum of size equal to the 35 that we can find the sum of square of the total we turn the 35 minus 1 equal to the 34.

01:43 We have the 3 class from so that for degree freedom for the between equal to the 3 minus 1 equal to the 2.

01:51 Then the degree freedom for the widthen we turn the 35 minus 3.