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 E table.) Click here for the Excel Data File Section Section 2 Section 50 56 82 76 70 1 00 65 a. Construct an ANOVA table. (Round Intermedlate calculations to at least 4 decimal places. Round "SS", "MS", "p-value" to 4 decimal places and "P" to 3 decimal places.) ANOVA Source of Variation Between Groups Within Groups Total SS df MS p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 E table.)
Click here for the Excel Data File
Section 1 Section 2
50
56
89
66
70
i
Section
82
76
i
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 "P" to 3 decimal places.)
ANOVA
Source of Variation
Between Groups
Within Groups
Total
SS
df
MS
p-value
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 E table.) Click here for the Excel Data File Section 1 Section 2 50 56 89 66 70 i Section 82 76 i 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 "P" to 3 decimal places.) ANOVA Source of Variation Between Groups Within Groups Total SS df MS p-value
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.
Show Transcribed Text
1
2
3
4
5
6
7
8
9
10
11
12
A
Section 1
50
89
66
79
84
65
57
70
79
66
B
Section 2
56
70
85
72
70
76
51
77
60
88
с
Section 3
82
76
88
93
69
59
63
59
70
65
D
Transcribed Image Text: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. Show Transcribed Text 1 2 3 4 5 6 7 8 9 10 11 12 A Section 1 50 89 66 79 84 65 57 70 79 66 B Section 2 56 70 85 72 70 76 51 77 60 88 с Section 3 82 76 88 93 69 59 63 59 70 65 D
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