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 |

H_{0}: μ_{1} = μ_{2} = μ_{3},
There is no difference in healthy eating habits among professionals
in the three sports

H_{1}: 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 μ_{1} = μ_{2} =
μ_{3}.

So, there is no difference in healthy eating habits among professionals in the three sports.

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...

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...

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