A statistics instructor wonders whether significant differences exist in her students' average exam scores in her...

   

Transcribed Image Text:

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 the F table.) Click here for the Excel Data File Section 1 Section 2 Section 3 57 91 55 77 88 96 69 79 87 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 df MS F p-value Between Groups Within Groups Total 0.0000 A C 1 Section 1 Section 2 Section 3 2 57 91 55 77 88 96 93 67 52 95 65 96 6 84 70 53 7 95 86 75 67 65 62 93 84 81 10 81 93 73 11 69 79 87 12 4, 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? O Yes, since the p-value is less than significance level. O Yes, since the p-value is not less than significance level. O No, since the p-value is less than significance level. O No , since the p-value is not less than significance level. 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 the F table.) Click here for the Excel Data File Section 1 Section 2 Section 3 57 91 55 77 88 96 69 79 87 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 df MS F p-value Between Groups Within Groups Total 0.0000 A C 1 Section 1 Section 2 Section 3 2 57 91 55 77 88 96 93 67 52 95 65 96 6 84 70 53 7 95 86 75 67 65 62 93 84 81 10 81 93 73 11 69 79 87 12 4, 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? O Yes, since the p-value is less than significance level. O Yes, since the p-value is not less than significance level. O No, since the p-value is less than significance level. O No , since the p-value is not less than significance level.

Answer rating: 100% (QA)

Sob Griven Sectioni Secton2 section 3 Pa ike 57 S5 plz Supp... View the full answer