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An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 11 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 124, 143, 132, 138, 136, 96, 116, 164, 177, 156, 147 Add2 158, 146, 174, 162, 103, 279, 163, 181, 102, 113, 133, 115, 136|

An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 11 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 124, 143, 132, 138, 136, 96, 116, 164, 177, 156, 147 Add2 158, 146, 174, 162, 103, 279, 163, 181, 102, 113, 133, 115, 136|

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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C,D,E

(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can the engineer conclude that there is a difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2? O Yes ONo
Transcribed Image Text:(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can the engineer conclude that there is a difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2? O Yes ONo
An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 11 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 124, 143, 132, 138, 136, 96, 116, 164, 177, 156, 147 Add2 158, 146, 174, 162, 103, 279, 163, 181, 102, 113, 133, 115, 136| Send data to calculator Send data to Excel Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.05 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Add1 and the population mean of the yields of tomato plants grown with Add2? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 11 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 124, 143, 132, 138, 136, 96, 116, 164, 177, 156, 147 Add2 158, 146, 174, 162, 103, 279, 163, 181, 102, 113, 133, 115, 136| Send data to calculator Send data to Excel Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.05 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Add1 and the population mean of the yields of tomato plants grown with Add2? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
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