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The federal government awarded grants to the agricultural departments of 9 universities to test the yield capabilities of two new varieties of wheat. Each variety was planted on a plot of equal area at each university, and the yields, in kilograms per plot, were recorded as follows: Variety 1 2 University 1 2 3 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Find a 95% confidence interval for the mean difference between the yields of the two varieties, assuming the differences of yields to be approximately normally distributed. Explain why pairing is necessary in this problem.

The federal government awarded grants to the agricultural departments of 9 universities to test the yield capabilities of two new varieties of wheat. Each variety was planted on a plot of equal area at each university, and the yields, in kilograms per plot, were recorded as follows: Variety 1 2 University 1 2 3 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Find a 95% confidence interval for the mean difference between the yields of the two varieties, assuming the differences of yields to be approximately normally distributed. Explain why pairing is necessary in this problem.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The federal government awarded grants to the agricultural departments of 9 universities to test the yield capabilities of two new varieties of wheat. Each variety was planted on a plot of equal area at each university, and the yields, in kilograms per plot, were recorded as follows: Variety 1 2 University 1 2 3 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Find a 95% confidence interval for the mean difference between the yields of the two varieties, assuming the differences of yields to be approximately normally distributed. Explain why pairing is necessary in this problem. -6.296 < HD <0.740
Transcribed Image Text:The federal government awarded grants to the agricultural departments of 9 universities to test the yield capabilities of two new varieties of wheat. Each variety was planted on a plot of equal area at each university, and the yields, in kilograms per plot, were recorded as follows: Variety 1 2 University 1 2 3 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Find a 95% confidence interval for the mean difference between the yields of the two varieties, assuming the differences of yields to be approximately normally distributed. Explain why pairing is necessary in this problem. -6.296 < HD <0.740
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