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A Researcher Examining Factors That Influence Sleep Quality Tested the Effects

Question 47

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A researcher examining factors that influence sleep quality tested the effects of two variables. Her first factor has 2 levels and the second factor has 3 levels. She recruited 30 participants. Use the following source table to answer the next few questions.
 Source SSdfMSF Factor 1 739.11739.11.03 Factor 2 4526.822263.43.15 Factor 1  Factor 2 2819.321409.651.97 Error 17247.224718.633\begin{array}{lcc}\hline \text { Source } & S S & d f& MS &F \\\hline \text { Factor 1 } & 739.1 & 1 & 739.1 & 1.03 \\\text { Factor 2 } & 4526.8 & 2 & 2263.4 & 3.15 \\\text { Factor 1 }{ }^{*} \text { Factor 2 } & 2819.3 & 2 & 1409.65 & 1.97 \\\text { Error } & 17247.2 & 24 & 718.633 &\\\hline\end{array} What is the critical value for each F ratio at the .05 significance level, and what is the observed F? Are any of the effect significant?

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Factor 1: 1.03
Factor 2: 3.15
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