Chapter 8 for students

Chapter 8 for students - Chapter 8 Sampling Methods and the...

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Chapter 8 Sampling Methods and the Central Limit Theorem 1. a. 303 Louisiana, 5155 S. Main, 3501 Monroe, 2652 W. Central b. Answers will vary c. 630 Dixie Hwy, 835 S. McCord Rd., 4624 Woodville Rd. d. Answers will vary 2. a. Childrens Hospital Medical Center, St. Francis-St. George Hospital, Bethesda North, Good Samaritan Hospital, Mercy Hospital-Hamilton b. Answers will vary c. Jewish Hospital-Kenwood, Mercy Hospital-Anderson, Good Samaritan Hospital, St. Elizabeth Medical Center-North unit, Emerson Behavioral Service, Shriners Burns Institute d. Answers will vary 3. a. Bob Schmidt Chevrolet, Great Lakes Ford Nissan, Grogan Towne Chrysler, Southside Lincoln Mercury, Rouen Chrysler Jeep Eagle b. Answers will vary c. Yark Automotive, Thayer Chevrolet Toyota, Franklin Park Lincoln Mercury, Matthews Ford Oregon, Inc., Valiton Chrysler 4. a. Denker, Brett; Wood, Tom; Keisser, Keith; Priest, Harvey b. Answers will vary c. Farley, Ron; Hinckley, Dave; Priest, Harvey; and Wood, Tom 5. a. Sample Values Sum Mean 1 12, 12 24 12 2 12, 14 26 13 3 12, 16 28 14 4 12, 14 26 13 5 12, 16 28 14 6 14, 16 30 15 b. μ =(12 + 12 + 14 + 16)/4 = 13.5 c. More dispersion with population compared to the sample means. The sample means vary from 12 to 15 whereas the population varies from 12 to 16.

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6. a. Sample Values Sum Mean 1 2,2 4 2 2 2,4 6 3 3 2,4 6 3 4 2,8 10 5 5 2,4 6 3 6 2,4 6 3 7 2,8 10 5 8 4,4 8 4 9 4,8 12 6 10 4,8 12 6 b. μ =(2 + 2 + 4 + 4 + 8)/5 = 4 c. They are equal. The dispersion for the population is greater than that for the sample means. The population varies from 2 to 8, whereas the sample means only vary from 2 to 6. 7. a. Sample Values Sum Mean 1 12,12,14 38 12.66 2 12,12,15 39 13.0 3 12,12,20 44 14.66 4 14,15,20 49 16.33 5 12,14,15 41 13.66 6 12,14,15 41 13.66 7 12,15,20 47 15.66 8 12,15,20 47 15.66 9 12,14,20 46 15.33 10 12,14,20 46 15.33 b. μ =(12 +12 + 14 + 15 + 20)/5 = 14.6 c. The dispersion of the population is greater than that of the sample means. the sample means vary from 12.66 to 16.33 where as the population varies from 12 to 20.
8. a. Sample Values Sum Mean 1 0,0,1 1 0.33 2 0,0,3 3 1.00 3 0,0,6 6 2.00 4 0,1,3 4 1.33 5 0,3,6 9 3.00 6 0,1,3 4 1.33 7 0,3,6 9 3.00 8 1,3,6 10 3.33 9 0,1,6 7 2.33 10 0,1,6 7 2.33 b. μ =(0 + 0 + 1 + 3 + 6)/5 = 2 c. The dispersion of the population is greater than the sample means. The sample means vary from 0.33 to 3.33, the population varies from 0 to 6. 9. a. 20 found by b. Sample Cases Sum Mean Ruud,Wu,Sass 3,6,3 12 4.0 Ruud,Sass,Flores 3,3,3 9 3.0 Ruud,Flores,Wilhelms 3,3,0 6 2.0 Ruud,Wilhelms,Schueller 3,0,1 4 1.33 Wu,Sass,Flores 6,3,3 12 4.0 Wu,Flores,Wilhelms 6,3,0 9 3.0 Wu,Wilhelms,Schueller 6,0,1 7 2.33 Sass,Flores,Wilhelms 3,3,0 6 2.0

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