- 1.
- Obtain a comparison dotplot of the two samples (X and Y) below. Let T be the number of time a Y beats a X. Under the null hypothesis, what do you expect T to be? Next compute T.
X 78 108 121 123 127 140 141
Y 104 107 119 124 135 136

(Ans: T= 17).
- 2.
- Below are the batting averages of the switch hitters and the left-handed hitters from the baseball data set. Obtain a comparison dotplot. Dotplot the two
samples. Let T be the number of time an average of a left-handed hitter is bigger than the average of a switch-hitter. Under the null hypothesis, what do
you expect T to be? Next compute T .
Switch .212 .218 .236 .242 .251 .251 .254 .261 .270 .282
Left .238 .271 .279 .283 .284 .290 .300 .303

(Ans: T = 71).
- 3.
- 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.
Under the null hypothesis, what do you expect T to be? Next compute T. It's easier if you sort the samples first!
Ital. 134 132 126 134 131 130 130 125 132 126
Etru. 141 145 145 146 142 126 144 146 154 149 143 131

- 4.
- Below are the batting averages of the right-handed hitters and the left-handed hitters from the baseball data set. Dotplot the two samples. Let T be the
number of times an average of a left-handed hitter is bigger than the average of a right-handed hitter. Under the null hypothesis, what do you expect T to
be? Next compute T .
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

- 5.
- 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. Under the null hypothesis, what do
you expect T to be? Next compute T .
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