Question

Three students, Linda, Tuan, and Javier, are given five laboratory rats each 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 10%, test the hypothesis that the three formulas produce the same mean weight gain. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.)

Weights of Student's Lab Rats

Linda's Rats	Tuan's Rats	Javier's Rats
46.4	49.2	53.8
41.6	42.8	43.2
43.4	41.0	40.1
48.8	48.4	47.9
40.5	47.1	51.3

A. Enter an exact number as an integer, fraction, or decimal.
df(num) =
B. Enter an exact number as an integer, fraction, or decimal.
df(denom) =
C. What is the test statistic? (Round your answer to two decimal places.)
D. What is the p-value? (Round your answer to four decimal places.)

F. What is the alpha? (Enter an exact number as an integer, fraction, or decimal.)

Answer 1

The statistical software output for this problem is:

From above output:

a) df(Num) = 2

b) df(Denom) = 12

c) Test statistic = 0.65

d) p - Value = 0.5418

e) Alpha = 0.10