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At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts. The judges...

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Statistics

At a gymnastics meet, three judges evaluate the balance beamperformances of five gymnasts. The judges use a scale of 1 to 10,where 10 is a perfect score. A statistician wants to examine thejobjectivity and consistency of the judges. Assume scores arenormally distrbuted.

Judge 1Judge 2Judge 3
Gymnast 18.08.58.2
Gymnast 29.59.29.7
Gymnast 37.37.57.7
Gymnast 48.38.78.5
Gymnast 58.89.29.0
  1. At the 1% significance level, can you conclude that averagescores differ by judge? Can you conclude that the judges seeminconsistent with thier scoring?
  2. At the 1% significance, can you conclude that average scoresdiffer by gymnast?
  3. If average scores differ by gymnast, use Tukey's HSD method atthe 1% significance level to determine which gymnasts' perfomrancesdiffer.

Answer & Explanation Solved by verified expert
4.3 Ratings (860 Votes)
Using Minitab Stat ANOVA General Linear Model Fit General Linear Model we get the following output To test whether average scores    See Answer
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