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The federal goverment 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: University 4 5 6 7 89 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Variety 1 2 3 2 Using 0.05 level of significance, determine if there is a significant 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 goverment 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: University 4 5 6 7 89 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Variety 1 2 3 2 Using 0.05 level of significance, determine if there is a significant 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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please answer the federal problem ty!

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: University 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Variety 1 2 3 1 2 Using 0.05 level of significance, determine if there is a significant 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. No significant difference between brand 1 and brand 2.
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: University 4 5 6 7 8 9 38 23 35 41 44 29 37 31 38 45 25 31 38 50 33 36 40 43 Variety 1 2 3 1 2 Using 0.05 level of significance, determine if there is a significant 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. No significant difference between brand 1 and brand 2.
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