Question

1. 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                                           16

                                        27                                           36                                           13

                                        26                                           25                                           15

                                        35                                           30                                           10

Step 1: State Hypotheses (2 points)

• Null:

• Research:

Step 2: Determine Comparison Distribution (1 point)

• What is the distribution shape and degrees of freedom for the comparison distribution?

Step 3: Set the Criteria for a Decision (3 points)

• df_B =

df_W=

• Critical value:

Step 3: Compute the Test Statistic (10 points)

Step 5: Make a Decision (9 points)

Reject/Fail to Reject the null?

If necessary, compute a Tukey’s HSD post hoc test.

Write your results as they would appear in a research journal (~two sentences).

Answer 1

Step 1:

H0:  There is no significant difference in healthy eating habits among professionals in the three sports

H1:  There is significant difference in healthy eating habits among professionals in the three sports

Let the los be alpha = 5%

Step 2: We compare the test statistic with F- distribution of degrees of freedom (2,9)

Step 3:

: From the given data

					Total	Ti^2/ni
Base ball	32	27	26	35	120	3600
Basket Ball	27	36	25	30	118	3481
Football	16	13	15	10	54	729
				Total G	292	7810

Here P-value = 0.000 < alpha 0.05 so we reject H₀

Thus we conclude that there is significant difference in healthy eating habits among professionals in the three sports

Now we need  Tukey’s HSD post hoc test