11_16_09 - B diff 1 225 236 – 11 2 386 399 – 13 3 265...

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STAT 409 Examples for 11/16/2009 Fall 2009 1. The following is a random sample from a certain population: 24 19 17 12 20 11 22 15 22 26 18 We wish to test H 0 : m = 17 vs. H 1 : m > 17, where m is the population median. a) Use the sign test. What is the p-value of this test? b) Use the (Wilcoxon) signed-rank test. What is the p-value of this test? 2. A and B are two fast food restaurants located across the street from one another. They are extremely competitive and closely monitor each other’s business in terms of number of customers served. The number of customers served at each restaurant on 15 randomly selected days is observed, and the data are listed in the table below. Is a matched-pair test appropriate here? Use the Wilcoxon signed- rank test to test whether one restaurant serves more customers than the other. Use α = 0.10. What is the p-value of this test? Day A B
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Unformatted text preview: B diff. 1 225 236 – 11 2 386 399 – 13 3 265 280 – 15 4 206 196 10 5 265 286 – 21 6 342 330 12 7 405 456 – 51 8 266 259 7 9 276 282 – 6 10 345 276 69 11 195 209 – 14 12 279 291 – 12 13 164 173 – 9 14 305 289 16 15 167 175 – 8 3. The president of Hawk & Hummingbird Airline ( HHA ) has noted an increase in the number of no-shows for flights out of Atlanta. He is particularly interested in determining whether there are more no-shows for flights that originate in Atlanta compared with flights leaving Chicago. A sample of nine flights from Atlanta and eight from Chicago is obtained, the results are reported in the table below. At the 0.10 significance level, can we conclude that there are more no- shows for the flights originating in Atlanta? What is the p-value of this test? Atlanta Chicago 11 13 15 14 10 10 18 8 11 16 20 9 24 17 22 21 25...
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