Three students, Linda, Tuan, and Javier, are given laboratoryrats for a nutritional experiment. Each rat's weight is recorded ingrams. Linda feeds her rats Formula A, Tuan feeds his rats FormulaB, and Javier feeds his rats Formula C. At the end of a specifiedtime period, each rat is weighed again, and the net gain in gramsis recorded. Using a significance level of 0.05, test thehypothesis that the three formulas produce the same mean weightgain.
H0: ?1 = ?2 = ?3
Ha: At least two of the means differ from eachother
| Forumla A | Forumla B | Forumla C |
|---|
| 45 | 35.3 | 35.3 |
| 40.1 | 34.3 | 45 |
| 54.4 | 13.9 | 43.6 |
| 38.1 | 32.9 | 41.8 |
| 32 | 38.1 | 51 |
| 45.9 | 27.1 | 48.5 |
| 48.7 | 11.3 | 37.3 |
| 37 | 50 | 44.4 |
| 50.7 | 53.6 | 40.5 |
Run a single-factor ANOVA with ?=0.05
. Round answers to 4 decimal places.
Test Statistic =
p-value =
Based on the p-value, what is the conclusion
Reject the null hypothesis: at least one of the group means isdifferent
Fail to reject the null hypothesis: not sufficient evidence tosuggest the group means are different
