A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows.  Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C South Side 4646 4747 4444 North Side 4545 5050 4848 West Side 4646 4949 4040 East Side 5252 6060 5252 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 176.2500176.2500 33 58.750058.7500 Columns 66.500066.5000 22 33.250033.2500 Error 35.500035.5000 66 5.91675.9167 Total 278.2500278.2500 1111   Copy Data   Step 1 of 3 :   Find the value of the test statistic for testing whether the average yield is the same for the three fertilizers. Round your answer to two decimal places, if necessary.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows.
 
Average Yield of Banana Trees
Side of Farm Fertilizer A Fertilizer B Fertilizer C
South Side 4646 4747 4444
North Side 4545 5050 4848
West Side 4646 4949 4040
East Side 5252 6060 5252
Copy Data
 
ANOVA
Source of Variation SSSS dfdf MSMS
Rows 176.2500176.2500 33 58.750058.7500
Columns 66.500066.5000 22 33.250033.2500
Error 35.500035.5000 66 5.91675.9167
Total 278.2500278.2500 1111  
Copy Data
 
Step 1 of 3 :  
Find the value of the test statistic for testing whether the average yield is the same for the three fertilizers. Round your answer to two decimal places, if necessary.
 
 
 
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