Weeds are common in corn fields. Does the presence ofweeds reduce the yield of the corn? Researchers planted corn in five plots of ground, then divided each plot in half. In each plot, one half was randomly selected and weeded, while the other half was not. Here are the yields of corn (bushels per acre) in each section of the test area: Plot: 1 2 3 4 5 Weeded half: 166.7 172.2 165.0 176.9 158.2 Unweeded half: 158.6 176.4 153.1 156.0 155.0 (a) Determine the value of the test statistic for the appropriate rank test.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Weeds are common in corn fields. Does the presence ofweeds reduce the yield of the corn?
Researchers planted corn in five plots of ground, then divided each plot in half. In each plot, one
half was randomly selected and weeded, while the other half was not. Here are the yields of corn
(bushels per acre) in each section of the test area:
Plot:
1
2
3
4
5
Weeded half:
166.7 172.2 165.0 176.9 158.2
Unweeded half:
158.6 176.4 153.1 156.0 155.0
(a) Determine the value of the test statistic for the appropriate rank test.
(b) Determine the p-value by counting configurations that are at least as extreme as the actual one.
(c) Make a statement about whether weeding tends to increase yields, based on the strength of
the evidence as indicated by the p-value.
Transcribed Image Text:Weeds are common in corn fields. Does the presence ofweeds reduce the yield of the corn? Researchers planted corn in five plots of ground, then divided each plot in half. In each plot, one half was randomly selected and weeded, while the other half was not. Here are the yields of corn (bushels per acre) in each section of the test area: Plot: 1 2 3 4 5 Weeded half: 166.7 172.2 165.0 176.9 158.2 Unweeded half: 158.6 176.4 153.1 156.0 155.0 (a) Determine the value of the test statistic for the appropriate rank test. (b) Determine the p-value by counting configurations that are at least as extreme as the actual one. (c) Make a statement about whether weeding tends to increase yields, based on the strength of the evidence as indicated by the p-value.
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