Question
Item 2 Exc. 2 An experiment to determine if physical fitness has any effect on a person's alertness was conducted. People were classified as being
Item 2 Exc. 2
An experiment to determine if physical fitness has any effect on a person's alertness was conducted. People were classified as being in one of five possible physical fitness populations: (1) non-fit, (2) minimal, (3) average, (4) above average and (5) excellent.
Random samples from each population were taken and an alertness test was given to each person. The results are shown below.
Level of Physical Fitness
Non-Fit | Minimal | Average | Above Average | Excelent |
6.7 | 7.2 | 4.7 | 6.1 | 5.6 |
3.7 | 4.5 | 6.2 | 5.0 | 6.3 |
4.8 | 3.6 | 8.3 | 7.1 | 7.9 |
3.0 | 3.5 | 5.5 | 7.8 | 6.4 |
4.8 | 8.2 | 6.1 | 4.4 | 8.6 |
1.9 | 5.0 | 3.1 | 6.0 | 9.3 |
4.7 | 7.2 | 9.0 | 8.6 | |
5.9 | 6.3 | 5.9 | ||
3.7 | 4.0 | |||
7.2 |
At the 0.01 level of significance, test to see if there are any differences between the mean alertness score among the different levels of physical fitness populations.
a. The Null Hypothesis
________
b. The Alternate Hypothesis
________
c. The significance level of the test
________
d. Pvalue
________
e Decision based upon test data
I Reject the Null Hypothesis ii. Do not reject the Null Hypothesis
iii Insufficient Information to make a decision.
________
- Decision based upon the data in the words of the question.
- Complete the ANOVA Table
Source of Variation | SS | df | MS | F | Pvalue |
Treatment (Between Groups) | |||||
Error (Within Groups) | |||||
Total |
Enter data to two decimal places with the exception of the pvalue witch should be entered to four decimal places.
h. The value of the Test Statistic
_______
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