Question

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.

Answer 1

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 μ_i 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.