## 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

1. 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".
2. 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.
3. Do a two-sample Kolmogorov-Smirnov test
1. testing whether there is any difference in the two populations, and
2. 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

1. 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".
2. 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%).
3. 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.