Question: A statistics instructor wonders whether significant differences exist in her students' average exam scores in her three different sections. She randomly selects the scores from
A statistics instructor wonders whether significant differences exist in her students' average 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 theF table.)
| Section 1 | Section 2 | Section 3 | ||||||||
| 82 | 50 | 72 | ||||||||
| 76 | 51 | 79 | ||||||||
| 89 | 78 | 95 | ||||||||
Section 1 Section 2 Section 3 82 50 72 76 51 79 63 59 96 90 76 86 61 74 54 79 50 86 56 73 78 59 63 83 79 84 95 89 78 95
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.)
b.Do these data provide enough evidence at the 5% significance level to indicate that there are some differences in average exam scores among these three sections?
multiple choice
Nosince thep-value is not less than significance level.
Nosince thep-value is less than significance level.
Yessince thep-value is not less than significance level.
Yessince thep-value is less than significance level.
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