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# Exercise 8.3

1.
In the last example, use class code Two-Sample Hypothesis and CI (Wilcoxon) to determine the p-value based on 1000 resampled T's. What is your conclusion in terms of the data? Obtain comparison dotplots of the data.
2.
Consider two data sets which are labeled as A and B and are given below. Suppose we want to test that the B's tend to be smaller than the A's. Determine the Wilcoxon test statistic and the p-value based on 1000 resamples using class code Two-Sample Hypothesis and CI (Wilcoxon).
```      A:      12 16 18 25 30
B:      8  10 19 22 28```
3.
Is the Wilcoxon robust? As a verification consider the following two samples. We want to test to see if the B's tend to be smaller than the A's. Determine the Wilcoxon test statistic and the p-value based on 1000 resamples using class code Two-Sample Hypothesis and CI (Wilcoxon).
```      A:       70  72  87  88 102 112
B:       41 43 54 67 74 78 87 91```
Next change, the 70 to 7, the first A. Determine the Wilcoxon test statistic and the p-value based on 1000 resamples using class code Two-Sample Hypothesis and CI (Wilcoxon). Did your conclusion change? Next change it to -7000. Determine the Wilcoxon test statistic and the p-value based on 1000 resamples using class code Two-Sample Hypothesis and CI (Wilcoxon). Did your conclusion change?
4.
Recall the following problem: Select one of your textbooks or a novel that you are reading. Select a passage at random, Not dialogue. Then count up the number of words in the first sentence of the passage. Record this number. Repeat this for 15 sentences. This is your sample of size 15.

Do this and then select a second book of the same type but by a different author and repeat the procedure for this second author.

State H0 and HA. Use the Wilcoxon to test these hypotheses. Use 1000 resampled T's. Obtain comparison dotplots. Conclude in terms of the problem.

Next:Exercise 9.1 Up:No Title Previous:Exercise 8.2
2000-08-26