An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 183 tons with a standard deviation of 37 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 174 tons with a standard deviation of 25 tons. When testing the hypothesis (at the 10% level of significance) that there is no difference between the variance of the yields using the different fertilizers, what is the critical value? (please round your answer to 2 decimal places)

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An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 183 tons with a standard deviation of 37 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 174 tons with a standard deviation of 25 tons. When testing the hypothesis (at the 10% level of significance) that there is no difference between the variance of the yields using the different fertilizers, what is the critical value? (please round your answer to 2 decimal places)
Expert Solution
Step 1

Given:

for fertilizer A

n1=41

meanx1=183

standard deviation(S1)=37

for fertilizer B

n2=61

mean(x2)=174

standard deviation(S2)=25

 

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