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A researcher conducted an ANOVA (alpha = .05) between 4 groups (G1, G2, G3, G4), with...

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Basic Math

A researcher conducted an ANOVA (alpha = .05) between 4 groups(G1, G2, G3, G4), with 11 people in each group. The MSBetween was5.62 and the MSWithin was 2, leading to an F test statistic of2.81.

Answer the following:

1) What were the hypotheses in statistical notation (2points)?

2) What is the critical value (1 point)?

3) Make a decision regarding whether to reject H0 and what thatmeans with regard to the group means (3 points).

4) What specifically do the MSBetween and MSWithin representwhen the null hypothesis is true and when the null hypothesis isfalse (2 points)?

Answer & Explanation Solved by verified expert
3.7 Ratings (576 Votes)
1 The HypothesisH0 The means of all 4 groups are equalHa Them means of all 4 groups are not equal2 k 4 Therefore df1 4 1 3N 11 4 44 Therefore df2 N k 44 4 40The    See Answer
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