Consider the accompanying data collected for a two-way ANOVA
Click the icon to view the data table
a) Using a = 0.10, is there significant interaction between Factors A and B?
b) Using a = 0.10, are the Factor A means different?
c) Using a = 0.10, are the Factor B means different?
a) Using a = 0.10, is there significant interaction between Factors A and B?
Identify the hypotheses for the interaction between Factors A and B. Choose the correct answer below.
A. Ho Factor A and B do not interact, H₁ Factor A and B do interact
B. Ho HAB. H₁ HAB
C. Ho Factor A and B do interact, H₁ Factor A and B do not interact
D. Ho HAHB. H₁ HAHB
Find the p-value for the interaction between Factors A and B
p-value = (Round to three decimal places as needed.)
Draw the appropriate conclusion for the interaction between Factors A and B. Choose the correct answer below.
A. Do not reject the null hypothesis. There is insufficient evidence to conclude that Factors A and B interact
B. Reject the null hypothesis. There is sufficient evidence to conclude that Factors A and B interact.
C. Do not reject the null hypothesis. There is insufficient evidence to conclude that the means differ.
D. Reject the null hypothesis. There is insufficient evidence to conclude that the means differ.
b) Using a = 0.10, are the Factor A means different?
Identify the hypotheses to test for Factor A Choose the correct answer below
A. Ho HA1 HA2HA3. H₁ Not all Factor A means are equal
B. Ho PAPB. H1 HAMB
C. Ho PA1 HA2PA3. H1: PA1 PA2 НАЗ
D. Ho HAHA2 HA3. H1 HA1PA2 PA3
Find the p-value for Factor A
p-value = (Round to three decimal places as needed.)
Draw the appropriate conclusion for Factor A Choose the correct answer below
A. Reject the null hypothesis. There is sufficient evidence to conclude that not all Factor A means are equal
B. Do not reject the null hypothesis. There is sufficient evidence to conclude that the means differ
C. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all Factor A means are equal
D. It is inappropriate to draw a conclusion from this test because the Factors A and B interact.
c) Using a = 0.10 are the Factor B means different?
Identify the hypotheses to test for Factor B. Choose the correct answer below
Data table
Factor A
FactorB
Level 1
Level 2
Level 3
Level 1
8
9
9
6
12
28
15
18
23
Level 2
27
32
26
10
21
36
15
18
34
Level 3
39
39
37
32
27
38
22
40
32
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