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[Solved] An agricultural experiment station was interested in comparing the yields for two new varieties of corn. Because the investigators thought there

Question: An agricultural experiment station was interested in comparing the yields for two new varieties of corn. Because the investigators thought there might be a great deal of variability in yield from one farm to the next, each variety was randomly assigned to a different 1 -acre plot on each of seven farms. The 1-acre plots were planted; the corn was harvested at maturity. The results of the experiment in bushels of corn are listed here:

Farm Variety A Variety B
1 48.2 41.5
2 44.6 40.1
3 49.7 44
4 40.5 41.2
5 54.6 49.8
6 47.1 41.7
7 51.4 46.8
  1. Use these data to test whether there is a difference in mean yields for the two varieties of corn. Use \(a=.05\)
  2. Estimate the size of the difference in the mean yields of the two varieties.

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