6. A researcher computes the following one-way within-subjects ANOVA table for a

Question

6. A researcher computes the following one-way within-subjects ANOVA table for a study in which

k = 3

and

n = 12.

State the decision at a 0.05 level of significance.

(a) Reject the null hypothesis.

(b) Retain the null hypothesis.     

(c) There is not enough information to answer this question.

Source of Variation     SS     df     MS     Fobt     Between groups     450                    Between persons               20          Within groups (error)                         Total     1030                   

Explanation / Answer

from gien information below is table:

as F test statistic is less than critical values ;  (b) Retain the null hypothesis

Source of Variation     SS     df     MS     Fobt     F crit Between groups     450 2 225 2.60 5.14 Between persons     60 3 20 0.23 4.76 Within groups (error)     520 6 86.67      Total     1030 11          

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