A sports psychologist gave a questionnaire about healthy eating habits to randomly selected professional athletes.The results are displayed below.Using the .05 significance level,is there a difference in healthy eating habits among professionals in the three sports?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large.
d.Conduct a planned contrast for Baseball versus Football players (using the .05 level).
e.Conduct Scheffé's test for the groups in (d)and indicate the F cutoff,the F you would use for the comparison,and the hypothesis-testing decision (reject or do not reject).
f.Explain the logic of what you did to a person who is familiar with the t test for independent means,but who knows nothing about the analysis of variance.(Be sure your explanation includes the logic of comparing within-groups to between-groups population variance estimates,the logic of how each of these is figured,the F distribution,and the F table.)
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