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A banana grower has three fertilizers from which to choose. He would like to determine which fertler produces banana trees with the largest yeld measured in pounds of bananas produced). The banana rower 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 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 eath area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he cakculates the yields of the trees within each of the areas. Can the banana prower conclude that there is a significant difference among the average yields of the banana trees for the three ters? The results are as follows Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer South Side 57 42 North Side 42 50 44 West Side 44 54 53 East Side 45 55 48 Copy Duta ANOVA Prew Next Source of Variation Rows Columns SS df 44.2500 3 182.1667 2 78.5000 301.9167 11 MS 14.7500 91.0834 13.0833 Error Total Copy Duta Step Tofind the value of the tests for testing whether the race yield is the same for the three ferturs. Round your answer to de necessary Abanana rower has three fertilizers from which to choose. He would like to desermine which fertilizer produces bananetreer with the largesteld measured in pounds of bananas produced the banana grower has noticed that there a difference in the average yields of the banana treet Depending on which ide of the form they are plante (South Side NorthSide, West Soorast 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 randortly assign the fertisers to the trees. After harvesting the bananas calculates the yields of the trees within each of the areal Can the barra rower conduide 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 Fertilizer South Side 49 57 42 North Side 42 50 44 West Side 44 54 53 East Side 45 48 Copy Data MS Source of Variation Rows Columns dr 3 ANOVA SS 44.2500 182.1667 78.5000 304.9167 14.7500 91 0834 2 6 13.0833 Error Total CopyData Step 2 of 3. Malce the decision to reject or fail to reject the nutrypothesis that there is no difference among the average yields of the banana trees for the three fertilisers. State the conclusion in terms of the original problem. Use a 0.05 Answer Points Keypad Tables Keyboard Shortcuts We reject the ruil hypothesis. At the 0.05 level of significance, there is sufficient evidence of a difference among the average yields of the banana trees for the three fertilizers We fail to reject the null hypothesis. At the 0.05 level of significance there is no sufficient evidence of a difference among the average yields of the bariane trees for the three fertilizer We fail to reject the nut hypothesis. At the 0.05 level of significance, there is sufficient evidence of a difference among the average yields of the banana trees for the three fertiliter O We reject the pull hypothesis. At the 0.05 www of trance there is not suffert widence of a difference among the average yields of the banana trees for the three fertilizers A banana grower has three fertilizers from which to choose He would like to determine which fertilizer produces banana trees with the largesteld (measured in pourds of bananas produced. The banana grower has noticed that there is a difference in the average yields of the benene treet depending on which side of the far they are planted (South Side North Side, West Side or East Sidel therefore, a randomized block design is used in the study. Because of the variation in ylelds 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 57 Fertilizer 42 South Side 49 SO 44 North Side West Side 42 44 54 53 East Side 45 55 48 Copy Data ANOVA SS df MS Source of Variation Rows 44.2500 3 2 Columns Error 182.1667 78.5000 304.9167 14.7500 91.0834 13.0833 6 11 Total Copy Data Step 3 of 3: Was the banana grower able to significantly reduce variation among the observed yields by blocking? Use a = 0,05 Answer Points Tables Keypad Keyboard Shortcuts The variation in yield is not significantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance ) The variation in yield is not significantly reduced by blocking since we fail to reject the nuli hypothesis that the block means are the same at the 0.05 level of significance The variation in yeld is significantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance The variation in yield is significantly reduced by blocking since we fail to reject the null hypothesis that the block means are the same at the 0.05 level of significance A banana grower has three fertilizers from which to choose. He would like to determine which fertler produces banana trees with the largest yeld measured in pounds of bananas produced). The banana rower 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 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 eath area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he cakculates the yields of the trees within each of the areas. Can the banana prower conclude that there is a significant difference among the average yields of the banana trees for the three ters? The results are as follows Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer South Side 57 42 North Side 42 50 44 West Side 44 54 53 East Side 45 55 48 Copy Duta ANOVA Prew Next Source of Variation Rows Columns SS df 44.2500 3 182.1667 2 78.5000 301.9167 11 MS 14.7500 91.0834 13.0833 Error Total Copy Duta Step Tofind the value of the tests for testing whether the race yield is the same for the three ferturs. Round your answer to de necessary Abanana rower has three fertilizers from which to choose. He would like to desermine which fertilizer produces bananetreer with the largesteld measured in pounds of bananas produced the banana grower has noticed that there a difference in the average yields of the banana treet Depending on which ide of the form they are plante (South Side NorthSide, West Soorast 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 randortly assign the fertisers to the trees. After harvesting the bananas calculates the yields of the trees within each of the areal Can the barra rower conduide 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 Fertilizer South Side 49 57 42 North Side 42 50 44 West Side 44 54 53 East Side 45 48 Copy Data MS Source of Variation Rows Columns dr 3 ANOVA SS 44.2500 182.1667 78.5000 304.9167 14.7500 91 0834 2 6 13.0833 Error Total CopyData Step 2 of 3. Malce the decision to reject or fail to reject the nutrypothesis that there is no difference among the average yields of the banana trees for the three fertilisers. State the conclusion in terms of the original problem. Use a 0.05 Answer Points Keypad Tables Keyboard Shortcuts We reject the ruil hypothesis. At the 0.05 level of significance, there is sufficient evidence of a difference among the average yields of the banana trees for the three fertilizers We fail to reject the null hypothesis. At the 0.05 level of significance there is no sufficient evidence of a difference among the average yields of the bariane trees for the three fertilizer We fail to reject the nut hypothesis. At the 0.05 level of significance, there is sufficient evidence of a difference among the average yields of the banana trees for the three fertiliter O We reject the pull hypothesis. At the 0.05 www of trance there is not suffert widence of a difference among the average yields of the banana trees for the three fertilizers A banana grower has three fertilizers from which to choose He would like to determine which fertilizer produces banana trees with the largesteld (measured in pourds of bananas produced. The banana grower has noticed that there is a difference in the average yields of the benene treet depending on which side of the far they are planted (South Side North Side, West Side or East Sidel therefore, a randomized block design is used in the study. Because of the variation in ylelds 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 57 Fertilizer 42 South Side 49 SO 44 North Side West Side 42 44 54 53 East Side 45 55 48 Copy Data ANOVA SS df MS Source of Variation Rows 44.2500 3 2 Columns Error 182.1667 78.5000 304.9167 14.7500 91.0834 13.0833 6 11 Total Copy Data Step 3 of 3: Was the banana grower able to significantly reduce variation among the observed yields by blocking? Use a = 0,05 Answer Points Tables Keypad Keyboard Shortcuts The variation in yield is not significantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance ) The variation in yield is not significantly reduced by blocking since we fail to reject the nuli hypothesis that the block means are the same at the 0.05 level of significance The variation in yeld is significantly reduced by blocking since we reject the null hypothesis that the block means are the same at the 0.05 level of significance The variation in yield is significantly reduced by blocking since we fail to reject the null hypothesis that the block means are the same at the 0.05 level of significance

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