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# hw1 - STATISTICS 500 Fall 2009 Homework 1 DUE DATE on...

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STATISTICS 500 – Fall 2009 – Homework 1 DUE DATE: on campus Friday, 4 Sept 2009, in lecture (11 am) off campus Tuesday, 8 Sept 2009, by 4 pm to Nicole Rembert, email: [email protected] or FAX: 515-294-4040 (please include cover page with Stat 500 / Nicole Rembert). 1. Design-based p-values and confidence intervals: I had the computer repeat the sampling exercises from lab a total of 500 times. The values are in lab1bigex1.txt and lab1bigex2.txt in the data files section of the class web site. The first file has results from the randomization (exercise 1) and the second has results from the bootstrap (exercise 2). The data values have been sorted for your convenience. Remember the “real” data had an observed difference of 4.49 and an observed ratio of 3.84. (a) Using the appropriate sets of 500 computer-generated values, calculate the one-sided p- values for testing Ho: difference = 0 and Ho: ratio = 1. In both cases, “more extreme events” are larger values. (b) The lab notes for week 1 describe how to calculate the two-sided p-value, but we did not do it during lab. Use the appropriate sets of 500 computer-generated values to compute the two-sided p-values for testing Ho: difference = 0 and Ho: ratio = 1.

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hw1 - STATISTICS 500 Fall 2009 Homework 1 DUE DATE on...

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