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Next: Exercise 8.2 Up: No Title Previous: Exercise 7.3

Exercise 8.1

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

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Next: Exercise 8.2 Up: No Title Previous: Exercise 7.3

2000-08-26