Coach Johnson's statistical expert, Roy, is preparing a One-Way ANOVA analysis to determine if there has been an improvement in average sprint speed among three groups of twenty sprinters. Each group has undergone a different training regimen over the past three months. Roy has collected all the necessary data. What does Roy need to confirm before conducting the analysis?
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AThat all the runners met Coach Johnson's specified minimum speed limit
BThat the null hypothesis of Anderson-Darling test cannot be rejected
CThat all the sprinters were in good health during the sprint tests
DThe Z-value found in his statistical tables
✓ Correct answer: B. That the null hypothesis of Anderson-Darling test cannot be rejectedIt is crucial for Roy to perform a test for normality to ensure that the data he has collected follows a normal distribution. This is necessary in order to apply a parametric statistical analysis.
If a sprinter was not in good health, their speed would be significantly affected and they would have already been identified as an outlier in the sample. Calculating the Z-value is done after formulating the null and alternative hypotheses. Although Coach Johnson may have a minimum speed requirement for all his sprinters, that specific number is not relevant to this particular test
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