Conduct a repeated measures One Way ANOVA using the following data:
A researcher really loves basketball and wants to test how the level of training affects how a well a person performs shooting free throws. This researcher sets up a basketball camp over the weekend. On the first day, the 3 participants receive no training and shoot free throws. On the second day, they receive coaching from Shaquille O’Neal, who was not that good at free throws. They then shoot free throws. On the final day, they receive coaching from current Los Angeles Clipper Lou Williams, who at the time this exam was written in late 2018, was among the top five leaders in free throw percentage. After this, they shoot free throws once more. The data for each participant is as follows:
Participant |
Free throws made with no coaching |
Free throws made when coached by Shaq |
Free throws made when coached by Lou Williams |
A |
2 |
5 |
7 |
B |
1 |
4 |
9 |
C |
3 |
6 |
12 |
D |
1 |
7 |
11 |
a. state the groups being tested.
b. State the Null and Research hypotheses.
c. Determine the values necessary to calculate the F statistic and calculate the F statistic.
SOURCE | SS | DF | MS | F |
---|---|---|---|---|
BETWEEN | ||||
SUBJECTS | ||||
WITHIN | ||||
TOTAL |
d. Determine the critical value at a 0.05 p level.
e. Make a decision about the hypothesis.
a)to check the mean of the Free throws made with no coaching ,Free throws made when coached by Shaq and Free throws made when coached by Lou Williams are equal or not
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