Mathematics, 25.04.2020 03:51 xoxo12376
A corn grower is interested in testing a new herbicide. She has a large field that she will divide into 10 plots. Since the field could have differences in soil composition, moisture, etc., she divides the plots each into two equally sized halves. One half is randomly assigned to get the herbicide, and the other gets nothing (control). At the end of the year, she records the yield of corn (in bushels/acre) for each half. The data are below:Plot 1 2 3 4 5 6 7 8 9 10Herbicide 150 158 164 159 191 194 179 166 161 167Control 155 186 184 185 162 193 166 193 163 160She wishes to test:H0 : µHerb ? µCont = 0 vs. HA : µHerb ? µCont \neq 0, using ? = 0.05.(a) Graph the data as you see fit. Why did you choose the graph(s) that you did and what does it (do they) tell you?(b) Use R to perform a bootstrap test. Give the code you used and the output. State the p-value. Make a conclusion in the context of the problem, i. e., should the grower use the herbicide, or not?
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