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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