a-1. 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 df MS F p-value Rows 6.7427 44.752 2.549 4 1.6857 0.0000 0.0960 0.0377 Columns 0.1920 2 0.1392 Error Total 0.3013 8 7.2360 14 a-2. At the 1% significance level, can you conclude that average scores differ by judge? O Yes, since the p-value for judge is less than the significance level. O Yes, since the p-value for judge is greater than the significance level. O No, since the p-value for judge is less than the significance level. O No, since the p-value judge is greater than the significance level.

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Exercise 13-67 Static
At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts. The judges use a scale of 1 to 10,
where 10 is a perfect score. A statistician wants to examine the objectivity and consistency of the judges. Assume scores are normally
distributed. (You may find it useful to reference the g table.)
Judge 1
Judge 2
Judge 3
Gymnast 1
Gymnast 2
Gymnast 3
Gymnast 4
Gymnast 5
8.0
8.5
8.2
9.5
9.2
9.7
7.3
7.5
7.7
8.3
8.7
8.5
8.8
9.2
9.0
E Click here for the Excel Data File
a-1. 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
Rows
6.7427
4
1.6857
44.752
0.0000
Columns
0.1920
2
0.0960
2.549
0.1392
Error
0.3013
8
0.0377
Total
7.2360
14
a-2. At the 1% significance level, can you conclude that average scores differ by judge?
O Yes, since the p-value for judge is less than the significance level.
O Yes, since the p-value for judge is greater than the significance level.
O No, since the p-value for judge is less than the significance level.
O No, since the p-value for judge is greater than the significance level.
Transcribed Image Text:Exercise 13-67 Static At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts. The judges use a scale of 1 to 10, where 10 is a perfect score. A statistician wants to examine the objectivity and consistency of the judges. Assume scores are normally distributed. (You may find it useful to reference the g table.) Judge 1 Judge 2 Judge 3 Gymnast 1 Gymnast 2 Gymnast 3 Gymnast 4 Gymnast 5 8.0 8.5 8.2 9.5 9.2 9.7 7.3 7.5 7.7 8.3 8.7 8.5 8.8 9.2 9.0 E Click here for the Excel Data File a-1. 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 Rows 6.7427 4 1.6857 44.752 0.0000 Columns 0.1920 2 0.0960 2.549 0.1392 Error 0.3013 8 0.0377 Total 7.2360 14 a-2. At the 1% significance level, can you conclude that average scores differ by judge? O Yes, since the p-value for judge is less than the significance level. O Yes, since the p-value for judge is greater than the significance level. O No, since the p-value for judge is less than the significance level. O No, since the p-value for judge is greater than the significance level.
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