Question

A sports psychologist gave a questionnaire about healthy eating habits to randomly selected professional athletes, four each from baseball, football, and basketball. The results were as follows. Healthy Eating Habits Scores Baseball Players Football Players Basketball Players 34 27 35 18 28 44 21 67 47 65 42 61 A high score on the questionnaire indicates that athletes engage in healthy eating habits. The psychologist wants to know if there are differences in healthy eating habits among these athletes. Assume an alpha of .05. a. What type of test will you use and why? b. Conduct the 5 steps to hypothesis testing. c. Write up your results.

Answer 1

(a) The One-Way ANOVA test is used here because we have to compare the means of 3 independent groups.

(b) The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

	34.5	4	21.49	Baseball Players
	41.0	4	18.64	Football Players
	46.8	4	10.78	Basketball Players
	40.8	12	16.72	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	300.50	2	150.250	0.49	.6297
Error	2,775.75	9	308.417
Total	3,076.25	11

The p-value is 0.6297.

Since the p-value (0.6297) is greater than the significance level (0.05), we fail to reject the null hypothesis.

(c) Therefore, we cannot conclude that there are differences in healthy eating habits among these athletes.