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?

Baseball Players              Basketball Players              Football Players

                32          27          27

                27                            36         23

                26          25         26

                35          30                                         20

Part A

Use the five steps of hypothesis testing.

Part B

Figure the effect size of this study and indicate whether it is nearer to small, medium, or large.

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	std dev
A	4	120	30.000	18.0000	4.2426
B	4	118	29.500	23.0000	4.7958
C	4	96	24.000	10.0000	3.1623
					#VALUE!
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	88.67	2	44.33	2.61	0.1278	4.26
Within Groups	153.00	9	17.00
Total	241.67	11

1) Ho: µ1=µ2=µ3
2) H1: not all means are equal
3)  value of test stat=   2.61

4) p value is    0.1278

Decision:   p-value>α , do not reject null hypothesis    

5)conclusion :    there is enough evidence of significant mean difference among three treatments  

b)

eta square ,effect size = SSR/SST =88.67/153 = 0.37 (medium )