The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 women assigned to each of the diets for one month. The resulting data set is below. Pounds Diet 2.2 1 0.3 1 0.6 1 1.9 1 -1.2 1 0.1 2 -1.1 2 -1.2 2 1.1 2 2.7 2 1 3 -0.4 3 -0.2 3 0.1 3 -2 3 -2.8 4 -0.1 4 -1.1 4 -1.8 4 -2.9 4 -1.2 5 -1.2 5 -1.7 5 -0.9 5 -1.2 5 a) What is the F statistic for the ANOVA? b) Using a 0.01 level of significance, what is the critical point that one would compare to the F statistic in order to make a conclusion? c) What is the P-value from the ANOVA?
The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 women assigned to each of the diets for one month. The resulting data set is below. Pounds Diet 2.2 1 0.3 1 0.6 1 1.9 1 -1.2 1 0.1 2 -1.1 2 -1.2 2 1.1 2 2.7 2 1 3 -0.4 3 -0.2 3 0.1 3 -2 3 -2.8 4 -0.1 4 -1.1 4 -1.8 4 -2.9 4 -1.2 5 -1.2 5 -1.7 5 -0.9 5 -1.2 5 a) What is the F statistic for the ANOVA? b) Using a 0.01 level of significance, what is the critical point that one would compare to the F statistic in order to make a conclusion? c) What is the P-value from the ANOVA?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 women assigned to each of the diets for one month. The resulting data set is below.
| Pounds | Diet |
| 2.2 | 1 |
| 0.3 | 1 |
| 0.6 | 1 |
| 1.9 | 1 |
| -1.2 | 1 |
| 0.1 | 2 |
| -1.1 | 2 |
| -1.2 | 2 |
| 1.1 | 2 |
| 2.7 | 2 |
| 1 | 3 |
| -0.4 | 3 |
| -0.2 | 3 |
| 0.1 | 3 |
| -2 | 3 |
| -2.8 | 4 |
| -0.1 | 4 |
| -1.1 | 4 |
| -1.8 | 4 |
| -2.9 | 4 |
| -1.2 | 5 |
| -1.2 | 5 |
| -1.7 | 5 |
| -0.9 | 5 |
| -1.2 | 5 |
a) What is the F statistic for the ANOVA?
b) Using a 0.01 level of significance, what is the critical point that one would compare to the F statistic in order to make a conclusion?
c) What is the P-value from the ANOVA?
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