Question

# A sports psychologist gave a questionnaire about healthy eating habits to randomly selected professional athletes. The...

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? Perform a complete hypothesis testing using ANOVA.

Baseball Players       Basketball Players     Football Players

32                               27                               27

27                               36                               23

26                               25                               26

35                               30                               20

REMEMBER: Make a decision and state the results in the conventional manner.

Using Excel, go to Data, select Data Analyis, choose Anova: Single Factor.

 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 88.667 2 44.333 2.608 0.128 4.256 Within Groups 153.000 9 17.000 Total 241.667 11

H0: μ1 = μ2 = μ3, There is no difference in healthy eating habits among professionals in the three sports

H1: At least one μi is different, There is a difference in healthy eating habits among professionals in the three sports

p-value = 0.128

Since p-value is more than 0.05, we do not reject the null hypothesis and conclude that μ1 = μ2 = μ3.

So, there is no difference in healthy eating habits among professionals in the three sports.

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