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1.
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In the last set of exercises, you obtained T be the number of time a Y
beats a X. Now use Two-Sample bootstrap
Wilcoxon statistic (Sorted) to compute the p-value based on 100 trials.
X 78 108 121 123 127 140 141
Y 104 107 119 124 135 136
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2.
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Below are the batting averages of the switch hitters and the left-handed
hitters from the baseball data set. Let T be the number of time an average
of a left-handed hitter is bigger than the average of a switch-hitter.
Recall T = 71. Now use Two-Sample
bootstrap Wilcoxon statistic (Sorted) to compute the p-value based
on 100 trials.
Switch .212 .218 .236 .242 .251 .251 .254 .261 .270 .282
Left .238 .271 .279 .283 .284 .290 .300 .303
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3.
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Consider the following samples of Italian and Etruscan skull sizes. Let
T be the number of time an Etruscan skull size is bigger than an Italian
skull size. You computed T in the last set of exercises. Now use Two-Sample
bootstrap Wilcoxon statistic (Sorted) to compute the p-value based
on 100 trials.
Ital. 134 132 126 134 131 130 130 125 132 126
Etru. 141 145 145 146 142 126 144 146 154 149 143 131
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4.
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Below are the batting averages of the right-handed hitters and the left-handed
hitters from the baseball data set. Let T be the number of times an average
of a left-handed hitter is bigger than the average of a right-handed hitter.
You computed T in the last set of exercises. Now use Two-Sample
bootstrap Wilcoxon statistic (Sorted) to compute the p-value based
on 100 trials.
Right .225 .238 .239 .243 .244 .245 .262 .271 .271
.274 .274 .276 .282 .286 .286
Left .238 .271 .279 .283 .284 .290 .300 .303 240
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5.
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Did Manuel I shortchange the people by having less silver in in later days
mintings? Try to answer this question by comparing the following two data
sets (use comparison boxplots). Let T be the number of times a first minting
has a higher percentage than a Fourth minting. You computed T in the last
set of exercises. Now use Two-Sample bootstrap
Wilcoxon statistic (Sorted) to compute the p-value based on 100 trials.
First: 5.9 6.8 6.4 7.0 6.6 7.7 7.2 6.9 6.2
Fourth 5.3 5.6 5.5 5.1 6.2 5.8 5.8
