Question

Consider the following output from an ANOVA problem. The test is to be performed at the 5% level of significance.

Source	DF	SS	MS	F	P
Between		292.1	146.1		1.016
Within	11		23.5
Total		550.9

1. The number of groups being compared is:

(a) 2

(b) 3

(c) 14

(d) Cannot be determined from the information given

2. The total number of observations is:

(a) 3

(b) 12

(c) 14

(d) Cannot be determined from the information given

3. At α = 0.05, with the critical value from the F-table, the conclusion of the test is:

(a) At least 2 of means are different from each other

(b) All means are the same (c)

The mean of the third population is larger than the other 2 population means

(d) The mean of the third population is significantly different than the mean of the first population

Answer 1

1:

From table:

So number of groups compared is

Correct option (b) 3

2:

From table:

So total number of observations is

Correct option (c) 14

3:

The F test statistics is

The critical value is 3.982

Since F > 3.982 so we reject the null hypothesis.

Correct option: (a) At least 2 of means are different from each other