Question

QUESTION 1

The rejection region for an F test:

		is not affected by the number of samples.
		can be in an upper tail or a lower tail.
		is partially determined by the value of alpha.
		is established by an ANOVA table.

2 points   

QUESTION 2

Consider the partial ANOVA table shown below:

Source of Variation	DF	SS	MS	F
Between Treatments		64		8
Within Treatments (Error)			2
Total		100

The number of degrees of freedom corresponding to within treatments is

		5
		4
		18
		20

2 points   

QUESTION 3

The appropriate test for analysis of variance is a(n):

		Z test
		t test
		F test
		Any of the above can be used.

2 points   

QUESTION 4

Consider the partial ANOVA table shown below. Let a = .01

Source of Variation	DF	SS	MS	F
Between Treatments	3	180
Within Treatments (Error)
Total	19	380

If all the samples have five observations each:

		there are 10 possible pairs of sample means.
		the only appropriate comparison test is the Tukey-Kramer.
		all of the absolute differences will likely exceed their corresponding critical values.
		there is no need for a comparison test – the null hypothesis is not rejected.

Answer 1

1)The rejection region for an F test: is partially determined by the value of alpha.

2)

Source of Variation	DF	SS	MS	F
Between Treatments	4	64	16	8
Within Treatments (Error)	18	36	2
Total	22	100

The number of degrees of freedom corresponding to within treatments is =18

3)

The appropriate test for analysis of variance is a(n): F test

4)

Source of Variation	DF	SS	MS	F	F crit
Between Treatments	3	180	60	4.8	5.29
Within Treatments (Error)	16	200	12.5
Total	19	380

as test statiitc is less than critical value

there is no need for a comparison test – the null hypothesis is not rejected.