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1.
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To set ideas work on this simple data set.
X 12 15 18
Y 16 19 25 28
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(a)
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Obtain all 12 differences (Y minus X).
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(b)
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Next obtain the point estimate, the median of the differences.
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(c)
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Subtract this estimate from the Y's and obtain the value of the Wilcoxon
test statistic.
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2.
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For the last problem, use the following list of random numbers to obtain
2 resampled median of differences.
2 9 2 2 7 2 2 3 0 8 8 1 9 8 8
2 3 3 4 0 9 2 1 0 7 9 3 6 6 2
3 7 6 8 8 7 0 5 0 3 4 3 5 7 7
3 4 5 0 1
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3.
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Consider the batting averages of the switch hitters and the left-handed
hitters from the baseball data set. Using class code Two-Sample
Hypothesis and CI (Wilcoxon), obtain the estimate of the difference
(Left minus switch) of batting averages and determine a 95% confidence
interval for the difference. What does the interval mean in terms of the
problem?
Switch .212 .218 .236 .242 .251 .251 .254 .261 .270 .282
Left .238 .271 .279 .283 .284 .290 .300 .303
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4.
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Consider the following samples of Italian and Etruscan skull sizes. Use
class code, Two-Sample Hypothesis and CI
(Wilcoxon), to obtain the estimate of difference between a typical
Etruscan skull and an Italian skull. Obtain a 95% confidence interval and
interpret it in terms of the problem.
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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5.
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Let
be the difference in weight between a typical pitcher and hitter, professional
baseball players. Using class code,Two-Sample
Hypothesis and CI (Wilcoxon) , estimate
and determine a 95% confidence interval for it based on the following data.
What does the interval mean in terms of the problem?
Hitters:
155 155 160 160 160 166 170 175 175 175 180
185 185 185 185 185 185 185 190 190 190 190
190 195 195 195 195 200 205 207 210 211 230
Pitchers:
160 175 180 185 185 185 190 190 195 195 195
200 200 200 200 205 205 210 210 218 219 220
222 225 225 232
