Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

An oil company wishes to study the effects of four different gasoline additives

ID: 3182481 • Letter: A

Question

An oil company wishes to study the effects of four different gasoline additives on average gasoline mileage. The company randomly selects four groups of nine automobiles of the same make and model and assigns a group of nine automobiles to each additive type (W, X, Y, and Z). An ANOVA F test was run on the data. Below is a portion of the ANOVA table: a. The degrees of freedom value for Factor is ____ b. The degrees of freedom value for Error is _____ c. The sum of squares for Error is ____ d. Is it reasonable to assume that the population variances are equal? YES NO Justify your answer mathematically using the rule for examining standard deviations in ANOVA:

Explanation / Answer

from above

below is the ANOVA table

a) degree if freedom for Factor =3

b)degree of freedom for error =32

c)sum of square for error =13.952

d) No

source df Sum of Square mean square F Factor 3 332.69 110.897 254.350 Error 32 13.952 0.436 total 35 346.642