A statistics instructor wonders whether significant differences exist in her students' final exam scores in her three different sections. She randomly selects the scores from 10 students in each section. A portion of the data is shown in the accompanying table. Assume exam scores are normally distributed. (You may find it useful to reference the E-table.) Click here for the Excel Data File Section 1 Section 2 Section 3 a. Construct an ANOVA table: (Round intermediate calculations to at least 4 decimal places. Round "SS", "MS", "p-value" to 4 decimal places, and "F" to 3 decimal places.) ANOVA Source of Variation Between Groups Within Groups SS MS p-value Total 0.0000
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Step 1
First, we need to calculate the mean for each section and the overall mean. Let's denote the means for each section as $\bar{x}_1$, $\bar{x}_2$, and $\bar{x}_3$, and the overall mean as $\bar{x}$. Show more…
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A statistics instructor wonders whether significant differences exist in her students' final exam scores in her three different sections. She randomly selects the scores from 10 students in each section. A portion of the data is shown in the accompanying table. Assume exam scores are normally distributed. (You may find it useful to reference the F table.) Section 1 Section 2 Section 3 75 75 69 73 88 57 71 95 64 a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS", "MS", "p-value" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation SS df MS F p-value Between Groups Within Groups Total 0.0000 0
Dominador T.
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