Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's...

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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
H_a: 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

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

Answer & Explanation Solved by verified expert

4.4 Ratings (822 Votes)

The Following data has been found from the given dataABCTotal391929713873996n999Mean43544330111430444SS4209016233520002Variance5261282029186250028TheHypothesisH0 There is no difference between the mean of the See Answer

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