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Question 4 10 pts Use the table below to answer the following questions. a) How

ID: 3072321 • Letter: Q

Question

Question 4 10 pts

Use the table below to answer the following questions.

a) How many levels (a) are there for factor A?

b) How many levels (b) are there for factor B?

H0:  vs Ha:

F=

Reject H0 if F>

Conclusion:  (type reject or fail to reject)

Interpretation: There  sufficient evidence to support that there is a treatment effect. (type is or is not)

Is it appropriate to conduct for an interaction effect?  (type yes or no)

H0:  vs Ha:   

p-value=

Conclusion:    H0 (type reject or fail to reject)

Interpretation: There  sufficient evidence to support that there is an interaction effect. (type is or is not)

Should the factor effect tests be conducted?   

Source    df SS MS p-value A 1 1.36 1.360 0.266 B 1 0.622 0.622 0.451 AB 1 22.405 22.405 0.000 Error 132 143.948 1.091 x Total 135 168.335 x x

Explanation / Answer

a)levels (a) are there for factor A =df(factor A)+1=1+1=2

b) levels (b) are there for factor B =df(factor B)+1=1+1=2

1)

F(factor A)= 1.36/1.091=1.25

F(factor B)=0.622/1.091=0.57
Reject H0 if F> 3.913

Conclusion:  fail to reject

Interpretation: there is not sufficient evidence to support that there is a treatment effect.

Is it appropriate to conduct for an interaction effect? --No

2)

p-value= 0.000

Reject H0 if p-value< 0.05

Conclusion:    H0 reject

Interpretation: There is sufficient evidence to support that there is an interaction effect

Should the factor effect tests be conducted? -Yes

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