Question

The government awarded grants to nine different experimental stations of the agricultural department to test the yield capabilities of two varieties of wheat. Five acres of each variety are planted at each station and the yields, in maunds per acre recorded as follows:

Station
1
2
3
4
5
6
7
8
9
Variety 1
Variety 2
38
45
23
25
35
31
41
38
44
50
29
33
37
35
31
40
38
43



Test the hypothesis that the average yield of two varieties of wheat are equal against the alternative that it is unequal, assuming the yield to be approximately normal. Why pairing is necessary in this problem.​

Answer 1

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