A graphing calculator is recommended. 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 Lab Rats Linda's rats Tuan's rats Javier's rats 44.8 48.9 53.0 41.0 42.3 42.4 42.9 40.1 39.0 47.8 47.7 46.3 40.1 45.9 50.4 O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) State the distribution to use for the test. O F2 14 O F14. 12 O F12.2 O F14, 2 O F2,12 O Part (f) What is the test statistic? (Round your answer to two decimal places.) O Part (g) What is the p-value? (Round your answer to four decimal places.)

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A graphing calculator is recommended.
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 Lab Rats
Linda's rats
Tuan's rats
Javier's rats
44.8
48.9
53.0
41.0
42.3
42.4
42.9
40.1
39.0
47.8
47.7
46.3
40.1
45.9
50.4
O Part (a)
O Part (b)
O Part (c)
O Part (d)
O Part (e)
State the distribution to use for the test.
O F2, 14
O F14. 12
O F12, 2
O F14, 2
O F2, 12
O Part (f)
What is the test statistic? (Round your answer to two decimal places.)
O Part (g
What is the p-value? (Round your answer to four decimal places.)
Transcribed Image Text:A graphing calculator is recommended. 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 Lab Rats Linda's rats Tuan's rats Javier's rats 44.8 48.9 53.0 41.0 42.3 42.4 42.9 40.1 39.0 47.8 47.7 46.3 40.1 45.9 50.4 O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) State the distribution to use for the test. O F2, 14 O F14. 12 O F12, 2 O F14, 2 O F2, 12 O Part (f) What is the test statistic? (Round your answer to two decimal places.) O Part (g What is the p-value? (Round your answer to four decimal places.)
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