Question: A statistics instructor wonders whether significant differences exist in her students scores in her three different sections. She randomly selects the scores from 10 students

A statistics instructor wonders whether significant differences exist in her students 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 scores are normally distributed. (You may find it useful to reference the F table.)

Section 1 Section 2 Section 3
85 91 74
68 84 69
74 75 73

Click here for the Excel Data File a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places, and "p-value" and "F" to 3 decimal places.)

b. Do these data provide enough evidence at the 5% significance level to indicate that there are some differences in average scores among these three sections?

multiple choice

Yes, since the p-value is less than significance level.

No, since the p-value is less than significance level.

Yes, since the p-value is not less than significance level.

No, since the p-value is not less than significance level.

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