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:

H_{0}:
µ_{1}
= µ_{2} =
µ_{3}

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.

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...

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...

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