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chap 8 assign 6

# chap 8 assign 6 - Chapter 8 7 A population consists of the...

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Chapter 8 7.) A population consists of the following five values: 12, 12 14, 15, and 20. a.) List all samples of size 3, and compute the mean of each sample. Sample Values Sum Mean 112,12,14 38 12.66 212,12,15 39 13 312,12,20 44 14.66 414,15,20 49 16.33 512,14,15 41 13.66 612,14,15 41 13.66 712,15,20 47 15.66 812,15,20 47 15.66 912,14,20 46 15.33 1012,14,20 46 15.33 b.) Compute the mean of the distribution of sample means and the population mean. Compare the two values. Sample means 145.95 / 10 = 14.595 Population mean 73 / 5 = 14.6 c.) Compare the dispersion in the population with that of the sample means. The sample means vary from 12.66 to 16.33 and the population varies from 12 to 20. 9.) In the law firm Tybo and Associates, there are six partners. Listed below is the number of cases each associate actually tried in court last month. a.) How many different samples of 3 are possible? 20, (6 C 3) (6! / 3! (6! – 3!) ) b.) List all possible samples of size 3, and compute the mean number of cases in each sample. Sample Cases sum Mean Ruud, Wu, Saas 3,6,3 12 4 Ruud, Sass, Flores 3,3,3 9 3 Ruud, Flores, Wilhelms 3,3,0 6 2 Ruud, Wilhelms, Schueller 3,0,1 4 1.33 Wu, Flores Ruud 6,3,3 12 4 Wu, Sass, Flores 6,3,3 12 4 Wu, Flores, Wilhelms 6,3,0 9 3 Wu, Wilhelms, Schueller 6,0,1 7 2.33 Sass, Flores, Wilhelms 3,3,0 6 2 Saas, Ruud, Flores 3,3,3 9 3 Saas, Wilhelms, Schueller 3,0,1 4 1.33 Flores, Wilhelms, Schueller 3,0,1 4 1.33 Flores, Wilhelms, Ruud 3,0,3 6 2 Wilhelms,Ruud, Wu 0,3,6 9 3 Wilhelms, Ruud, Saas 0,3,3 6 2 Schueller, Flores, Saas 1,3,3 7 2.33 Schueller, Flores, Wu 1,3,6 10 3.33 Schueller, Flores, Ruud 1,3,3 7 2.33 Wilhelms, Saas, Wu 0,3,6 9 3 Flores, Wilhelms, Saas 3,0,3 6 2 Saas, Flores, Schueller 3,3,1 7 2.33 c.) Compare the mean of the distribution of sample means to the population mean.

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