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 2 of 10 :  

Calculate the value of the Sum of Squares Error (SSE)

Answer 1

for te intu eter G Aample izes Now, fem dota, ealeulate tee acona Mus Takahasui fior test seore sample varian ee ,2 22.4 1 A Aample Variante B 3). G o tert 4 ore 3 Ample vriane 72.6 (n -) Ai (5×22-4) + (sx 2).6) ナ(s×73.6) .. SSE C3& Scanned with CS CamScanner