## Due Date

Due Fri, Oct 11, 2013.

## First Problem

For the data in Table 4.3 in Hollander and Wolfe (H & W) also at http://www.stat.umn.edu/geyer/5601/hwdata/t4-3.txt

- Do a Wilcoxon rank sum test of the hypotheses described in Problem 4.1 in Hollander and Wolfe. Describe the result of the test in terms of "statistical significance".
- Also compute the Hodges-Lehmann estimator and confidence interval for the shift parameter that go with the rank sum test with as close as you can get to 95% confidence.
- Do a two-sample Kolmogorov-Smirnov test
- testing whether there is any difference in the two populations, and
- testing whether allergics have higher histamine levels than nonallergics.

(The problem just above is Problems 4.1, 4.15, 4.27 in H & W and more.)

## Second Problem

Problem 11.29. The data are at http://www.stat.umn.edu/geyer/5601/hwdata/t11-15.txt

## Third Problem

For the data in Table 4.4 in Hollander and Wolfe (H & W) also at http://www.stat.umn.edu/geyer/5601/hwdata/t4-4.txt

- Do a Wilcoxon rank sum test of the hypotheses described in Problem 4.5 in Hollander and Wolfe. Describe the result of the test in terms of "statistical significance".
- Also compute the Hodges-Lehmann estimator and confidence interval for the shift parameter that go with the rank sum test with as close as you can get to 99% confidence (note not 95%).
- Redo part (a) using a fuzzy P-value. (Don't bother with a fuzzy confidence interval. It hardly makes a difference at this sample size.)

(The problem just above is Problems 4.5, 4.19, 4.34 in H & W and more.)

## Answers

Answers in the back of the book

are here.