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1. 9.10 In 187'5. Charles Darwin studied the growth of pairs of corn seedlings. one produced by cross-fertilization and the other produced by selffertilization. These

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9.10 In 187'5. Charles Darwin studied the growth of pairs of corn seedlings. one produced by cross-fertilization and the other produced by selffertilization. These seedlings were grown in pairs, with one of each type planted under the same conditions in the same pot. The final heights of the plants are in the cross and 5:211C variables ofthe data Zeal-lays in the HistData package. a. Make a boxplot to compare the distribution of heights of cross and selffertilized plants. b. Why would a rank based test be preferable to a ttest for this data? c. Carry out an appropriate rank based test to compare the two groups and state your conclusion with a pyalue. 9.22 Consider the MovieLens data fosdata: : movies a. Is there sufficient evidence at the o = .05 level to conclude that among people who have only seen one of the movies, those people have a preference between Sleepless in Seattle and While You Were Sleeping? b. Report Vargha and Delaney's A effect size for this data, and interpret

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