Question

A principal of a middle school wants to investigate whether student performance on a math test depends on instructor of the class. She selects 18 random students and assigns each of them randomly to one of three different instructors. The test scores are given below. Is there sufficient evidence to conclude that student performance differs between instructors? Use significance level 0.1

Note that the numbers in this problem have been manufactured such that all of the group means and the grand mean are whole numbers.

Test Scores by Instructor

Mrs. Takahashi	Mr. Smith	Mr. Garcia
65	54	71
76	67	77
66	59	56
62	57	61
67	51	77
66	54	66

Step 3 of 10 :  

Calculate the value of the Sum of Squares Total (total SS)

(Answering all 10 parts would be helpful)

Answer 1

here get data in excel then click on data>data anyway >anova >select data>ok

pvalue for anova is 0.02 which is less than 0.10 so rejects H0 and conclue that students performance is differ.

now from anova output total ss=1082

1 Anova: Single Factor 3. SUMMARY 4. Groups 5 takahashi 6 smith garcia Count Sum Average Variance 402 22.4 634257 31.6 6408687361 coa 10 ANOVA 11 ce of VaricSS 12 Between 444 13 Within Gri 638 df MS 2 222 5.219436 0. 15 42.53333 15 Total 1082 17 Sheet4 Sheet1 Sheet2 Sheet