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.) Click here for the Excel Data File Section 1 Section 2 Section 3 50 56 82 89 70 76 66 88 65 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 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. No , since the p-value is less than significance level. O No , since the p-value is not less than significance level.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text:Section 1 Section 2 Section 3 50 56 82 89 70 76 66 85 88 79 72 93 84 70 69 65 76 59 57 51 63 70 77 59 79 60 70 66 88 65
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.)
E Click here for the Excel Data File
Section 1
Section 2
Section 3
50
56
82
89
70
76
66
88
65
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
p-value
Between Groups
Within Groups
Total
0.0000
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.
Transcribed Image Text: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.) E Click here for the Excel Data File Section 1 Section 2 Section 3 50 56 82 89 70 76 66 88 65 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 p-value Between Groups Within Groups Total 0.0000 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.
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