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Biology and Environmental Science Homeowners who cultivate small backyard gardens are often worried about pests (for example, rabbits and groundhogs) ruining plants. Some gardeners protect their gardens with a fence, others spread chemicals around the perimeter of the garden to keep animals away, and some do nothing. The joint probability table below shows the relationships among these garden protection methods and success.
Suppose a backyard gardener is selected at random.
a. Suppose the garden had pests. What is the probability the gardener used nothing?
b. Suppose the gardener used chemicals. What is the probability there were pests?
c. Given that the garden had no pests, which method of defense did the gardener most likely use? Justify your answer.
Test the hypothesis that the median weight of NFL players is 250 pounds against the alter- native that it is greater at α = 0.05, using (a) the large sample sign test and (b) the Wilcoxon signed rank test.
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