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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 12 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 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 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 0.10 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Addi 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.)

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 12 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 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 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 0.10 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Addi 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.)

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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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 12 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 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 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 0.10 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Addi 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 12 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 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 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 0.10 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Addi 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.)
(a) State the null hypothesis H, and the alternate hypothesis H. Ho S H :0 (b) Determine the type of test statistic to use. (Choose one) D=D OSO (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 0.10 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? OYes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternate hypothesis H. Ho S H :0 (b) Determine the type of test statistic to use. (Choose one) D=D OSO (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 0.10 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? OYes ONo
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