A researcher, after performing cost analysis finds that the greater expenditure incurred by using  organic farming techniques including organic pesticides is justified if it yields an average of at least 50  kg more soybean per hectare than the yield using regular farming technique using chemicals. In a pilot  study, the performances of plots with soybean using organic and inorganic farming techniques are  examined, with data as follows. Do these data provide sufficient evidence to indicate that fields with  organic farming yield more to justify extra cost? Take α = 0.01 [Hint: Use one tailed t test assuming  equal population variances] Organic farming Yield /ha Regular farming Yield /ha n1 = 10 n2 = 8 1 x = 995 2 x = 958 s1 = 38 kg s2 = 25 kg

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A researcher, after performing cost analysis finds that the greater expenditure incurred by using 
organic farming techniques including organic pesticides is justified if it yields an average of at least 50 
kg more soybean per hectare than the yield using regular farming technique using chemicals. In a pilot 
study, the performances of plots with soybean using organic and inorganic farming techniques are 
examined, with data as follows. Do these data provide sufficient evidence to indicate that fields with 
organic farming yield more to justify extra cost? Take α = 0.01 [Hint: Use one tailed t test assuming 
equal population variances]
Organic farming
Yield /ha
Regular farming
Yield /ha
n1 = 10 n2 = 8
1
x
= 995
2
x
= 958
s1 = 38 kg s2 = 25 kg 

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