Question

Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.

H₀: μ₁ = μ₂ = μ₃
H_a: At least two of the means differ from each other

Forumla A	Forumla B	Forumla C
46.8	12.2	36.2
51.6	54.5	49.4
31.2	36.2	34.5
49.6	50.9	51.9
37.9	33.8	44.5
55.3	39	41.4
45.9	14.8	42.7
41	28	45.3
39	28.9	45.9

Run a one-factor ANOVA with α=0.05α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.

F =
p-value =

Based on the p-value, what is the conclusion

• Reject the null hypothesis: at least one of the group means is different
• Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

Answer 1