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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 (e) O Part (d) O Part (e) O Part in O Part (a) What is the p-value? (Round your answer to four decimal places) 0.5803 Explain what the pvalue means for this problem O H Hg is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the caloulated value. O HH is false, then there is a chance equal to the pvalue that the value of the test statistic wil be equal to or greater than the calculated value. O HH is true, then there is a chance equal to the pvalue that the value of the test statistic wil be equal to or less than the calculated value. O HH, is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the caloulated value. O Part ( Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) comresponding to the p-value. 1/2p-value) 1/2p-value) 1/2p-value) 1/2p-value) P-value P-value

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 (e) O Part (d) O Part (e) O Part in O Part (a) What is the p-value? (Round your answer to four decimal places) 0.5803 Explain what the pvalue means for this problem O H Hg is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the caloulated value. O HH is false, then there is a chance equal to the pvalue that the value of the test statistic wil be equal to or greater than the calculated value. O HH is true, then there is a chance equal to the pvalue that the value of the test statistic wil be equal to or less than the calculated value. O HH, is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the caloulated value. O Part ( Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) comresponding to the p-value. 1/2p-value) 1/2p-value) 1/2p-value) 1/2p-value) P-value P-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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) O Part (f) O Part (g) What is the p-value? (Round your answer to four decimal places.) 0.5803 Explain what the p-value means for this problem. O It Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O I H, is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O H Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O f Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. 1/2(p-value) 1/2(p-value) 1/2(p-value) 1/2(p-value) F F p-value p-value F
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) O Part (f) O Part (g) What is the p-value? (Round your answer to four decimal places.) 0.5803 Explain what the p-value means for this problem. O It Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O I H, is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O H Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O f Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O Part (h) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. 1/2(p-value) 1/2(p-value) 1/2(p-value) 1/2(p-value) F F p-value p-value F
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