Question

Source	df	SS	MS	F
A		0.7
B		5.6
AB		9.2
Error
Total		18.0

The partially completed ANOVA table for a 3x4 factorial experiment with two replicatioms is provided. Complete parts a through f.

A. Complete the ANOVA table.

B. Which sums of squares are combined to find the sum of squares for treatment?

a. SSA and SSB

b. SSE, SSA, and SSB

c. SSE and SSAB

d. SSA, SSB, and SSAB

Do the data provide sufficient evidence to indicate that the treatment means differ? Use α=0.05.

State the null and alternative hypothesis for this test.

H₀:

H_a:

Determine the test statistic F for this test.

F=

Determine the p-value

P-value =

Make an appropriate conclusion for this test. Choose the answer below.

a. Do not reject H0. The data do not provide sufficient evidence to indicate that at least two of the treatment means differ at α =0.05

b. Do not reject H0. The dta provides sufficient evidence to indicate that at least two of the treatment means differ at α =0.05

c. Reject H0: The data do not provide sufficient evidence to indicate that at least two of the treatment means differ at α =0.05

d.Reject H0: he data provides sufficient evidence to indicate that at least two of the treatment means differ at α =0.05

C. Does the result of the test in part b warrant further testing?

a. Yes, because the test does not indicate that differences exist among the treatment means. This means one should test if the factors affect the response independently, or if they interact to affect the response.

b. No, because the test does not indicate that differences exist among the treatment means. There is nothing further to investigate about the means.

c. No, because the test indicates that differences exist among the treatment means. This means that both factors affect the response independently.

d. Yes, because the test indicates that differences exist among the treatment means. One should test if the two factors interact to affect response and, if warranted, test the main effects of each of the two factors.

D. Test to determine whether these factors interact to affect the response mean. Use α =0.05.

H₀:

H_a:

Determine the test statistic F for this test.

F=

Determine the p-value

P-value =

Make an appropriate conclusion for this test:

E. Does the result of the interaction test warrant further testing?

Answer 1