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A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results. (You may find it useful to reference the appropriate table: z table or t table) Lot 1 Crop Yield Using Old Fertilizer 9 Crop Yield Using New Fertilizer 11 2 10 9 3 14 4 11 5 10 12 6 10 14 pictureClick here for the Excel Data File Let the difference be defined as Old - New. a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers. OHO: HD ≤ 0; HA: HD>0 ⒸHO: HD=0; HAND #0 OHO: HD20; HA: HD <0 b. Assuming that differences in crop yields are normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Test statistic c. Find the p-value. 9 8 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.02

A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results. (You may find it useful to reference the appropriate table: z table or t table) Lot 1 Crop Yield Using Old Fertilizer 9 Crop Yield Using New Fertilizer 11 2 10 9 3 14 4 11 5 10 12 6 10 14 pictureClick here for the Excel Data File Let the difference be defined as Old - New. a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers. OHO: HD ≤ 0; HA: HD>0 ⒸHO: HD=0; HAND #0 OHO: HD20; HA: HD <0 b. Assuming that differences in crop yields are normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Test statistic c. Find the p-value. 9 8 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.02

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results. (You may find it useful to reference the appropriate table: z table or t table) Crop Yield Using Old Fertilizer Lot 1 Crop Yield Using New Fertilizer 11 2 10 9 14 11 5 10 12 6 10 14 pictureClick here for the Excel Data File Let the difference be defined as Old New. a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers. OHO: HD ≤ 0; HAND > 0 ⒸHO: HD=0; HAND #O OHO: HD20; HAND <0 b. Assuming that differences in crop yields are normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Test statistic c. Find the p-value. 9 8 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.02
Transcribed Image Text:A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results. (You may find it useful to reference the appropriate table: z table or t table) Crop Yield Using Old Fertilizer Lot 1 Crop Yield Using New Fertilizer 11 2 10 9 14 11 5 10 12 6 10 14 pictureClick here for the Excel Data File Let the difference be defined as Old New. a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers. OHO: HD ≤ 0; HAND > 0 ⒸHO: HD=0; HAND #O OHO: HD20; HAND <0 b. Assuming that differences in crop yields are normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Test statistic c. Find the p-value. 9 8 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.02
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