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 Etable.) Click here for the Excel Data File Section 1 Section 2 Section 3 63 63 92 se 90 67 62 64 84 a. Construct an ANOVA table. (Round intermediate calculations to et least 4 decimal places. Round "SS, "MS, "pvalue" to 4 decimal places and "P to 3 decimal pleces.) ANOVA Source of Variation df MS F p-value Between Groups Within Groups Total 1 Section 1 Section 2 Section 3 2 63 3 50 Do these ata provide enough evdence et the 5% sgnficance leve to rdicate tat mere are some dfleences n avetage exan scores among these three sections? 92 67 63 ONo since the pvalue is not iess than significance level. ONo since the pvalue is less than signficence level 90 83 62 O Yes nce the pvalue not les than signticance level O ves, since tne paalue is ess then sgnficence level 86 54 88 70 51 95 51 92 65 96 8. 56 65 72 64 64 94 10 67 62 (70 77 64 84 B. W

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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 E table.)
Click here for the Excel Data File
Section 1
Section 2
Section 3
63
63
92
se
90
67
62
64
84
a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS, "MS, "pvalue" to 4
decimal places and "P' to 3 decimal places.)
ANOVA
Source of Variation
df
MS
F
p-value
Between Groups
Within Groups
Total
B
Section 2 Section 3
1 Section 1
2 63
3
b. Do these data provide enough evidence'at the 5% sgnificance level to nidicate that there are some dfletences in average exam
Scores among these three sections?
92
63
90
O No since the p-value is not less than significance level.
50
67
O No. sirce the pvalue is less then panifikance level
O Yes. since the pvalue is not less than signiticance level.
14
54
83
86
O Yes since tne pvalue is iess theri signicance level.
62
70
88
51
95
51
65
96
92
8.
9
10 67
11
72
94
77
56
65
64
64
70
62
64
84
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 E table.) Click here for the Excel Data File Section 1 Section 2 Section 3 63 63 92 se 90 67 62 64 84 a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS, "MS, "pvalue" to 4 decimal places and "P' to 3 decimal places.) ANOVA Source of Variation df MS F p-value Between Groups Within Groups Total B Section 2 Section 3 1 Section 1 2 63 3 b. Do these data provide enough evidence'at the 5% sgnificance level to nidicate that there are some dfletences in average exam Scores among these three sections? 92 63 90 O No since the p-value is not less than significance level. 50 67 O No. sirce the pvalue is less then panifikance level O Yes. since the pvalue is not less than signiticance level. 14 54 83 86 O Yes since tne pvalue is iess theri signicance level. 62 70 88 51 95 51 65 96 92 8. 9 10 67 11 72 94 77 56 65 64 64 70 62 64 84
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