Degrees of Freedom Mean Square (Variance) Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA = 90, SsSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source A B Sum of Squares F 90 45 6. 90 45 9. AB 160 40 8 Error Total 27 135 35 475 a. At the 0.05 level of significance, is there an effect due to factor A? Determine the hypotheses. Choose the correct answer below. O A. Ho: There is an effect due to factor A. H: There is no effect due to factor A. VB. Ho: There is no effect due factor A

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Consider a​ two-way ANOVA with three levels for factor​ A,
three levels for factor​ B, and four replicates in each of the 9 cells, with
SSA=90, SSB=90, SSE=135, and SST=475.
Complete parts​ (a) through​ (c).

A) What is the P-Value?

B) At the 0.05 level of​ significance, is there an effect due to factor​ A? State the result of this test.

ITT |
Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in
each of the 9 cells, with SSA = 90, SSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source
Degrees
of Freedom
Mean Square
(Variance)
Sum of Squares
F
A
90
45
9.
90
45
9.
AB
4
160
40
8
Error
27
135
Total
35
475
a. At the 0.05 level of significance, is there an effect due to factor A?
Determine the hypotheses. Choose the correct answer below.
O A. Hn: There is an effect due to factor A.
H: There is no effect due to factor A.
Ho: There is no effect due to factor A.
H: There is an effect due to factor A
Transcribed Image Text:ITT | Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA = 90, SSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source Degrees of Freedom Mean Square (Variance) Sum of Squares F A 90 45 9. 90 45 9. AB 4 160 40 8 Error 27 135 Total 35 475 a. At the 0.05 level of significance, is there an effect due to factor A? Determine the hypotheses. Choose the correct answer below. O A. Hn: There is an effect due to factor A. H: There is no effect due to factor A. Ho: There is no effect due to factor A. H: There is an effect due to factor A
Expert Solution
Step 1

Given information:

A two-way ANOVA with three levels of factor A, three levels for factor B, and four replicates in each of the 9 cells is considered.

The two-way ANOVA table is provided as:

Source Degrees of freedom  Sum of squares  Mean square (Variance) F-ratio
A 2 90 45 9
B 2 90 45 9
AB 4 160 40 8
Error 27 135 5  
Total 35 475    

It is required to:

A) obtain the P-value

B) to determine at 0.05 level of significance whether there is an effect due to factor A or not. Also, state the result. 

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