QUESTION 1 Consider the partial ANOVA table shown below. Let a = .01 Source of V

Question

QUESTION 1

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:

a.there are 10 possible pairs of sample means.

b.the only appropriate comparison test is the Tukey-Kramer.

c.all of the absolute differences will likely exceed their corresponding critical values.

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

Source of Variation

DF

SS

MS

F

Between Treatments

3

180

Within Treatments (Error)

Total

19

380

Explanation / Answer

as critical value at 0.01 level 5.29 is higher than test statisitc 4.8; therefore

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

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

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