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Unformatted text preview: Chapter 7 Sampling and Sampling Distributions Learning Objectives 1. Understand the importance of sampling and how results from samples can be used to provide estimates of population characteristics such as the population mean, the population standard deviation and / or the population proportion. 2. Know what simple random sampling is and how simple random samples are selected. 3. Understand the concept of a sampling distribution. 4. Understand the central limit theorem and the important role it plays in sampling. 5. Specifically know the characteristics of the sampling distribution of the sample mean ( x ) and the sampling distribution of the sample proportion ( p ). 6. Learn about a variety of sampling methods including stratified random sampling, cluster sampling, systematic sampling, convenience sampling and judgment sampling. 7. Know the definition of the following terms: parameter sampling distribution sampled population finite population correction factor sample statistic standard error simple random sampling central limit theorem sampling without replacement unbiased sampling with replacement point estimator point estimate target population Solutions: 7  1 Chapter 7 1. a. AB, AC, AD, AE, BC, BD, BE, CD, CE, DE b. With 10 samples, each has a 1/10 probability. c. E and C because 8 and 0 do not apply.; 5 identifies E; 7 does not apply; 5 is skipped since E is already in the sample; 3 identifies C; 2 is not needed since the sample of size 2 is complete. 2. Using the last 3digits of each 5digit grouping provides the random numbers: 601, 022, 448, 147, 229, 553, 147, 289, 209 Numbers greater than 350 do not apply and the 147 can only be used once. Thus, the simple random sample of four includes 22, 147, 229, and 289. 3. 459, 147, 385, 113, 340, 401, 215, 2, 33, 348 4. a. 5, 0, 5, 8 Bell South, LSI Logic, General Electric b. ! 10! 3,628,800 120 !( )! 3!(10 3)! (6)(5040) N n N n = = = 5. 283, 610, 39, 254, 568, 353, 602, 421, 638, 164 6. 2782, 493, 825, 1807, 289 7. 108, 290, 201, 292, 322, 9, 244, 249, 226, 125, (continuing at the top of column 9) 147, and 113. 8. 13, 8, 23, 25, 18, 5 The second occurrences of random numbers 13 and 25 are ignored. Maryland, Iowa, Florida State, Virginia, Pittsburgh, Oklahoma 9. 102, 115, 122, 290, 447, 351, 157, 498, 55, 165, 528, 25 10. a. Finite population. A frame could be constructed obtaining a list of licensed drivers from the New York state drivers license bureau. b. Sampling from a process. The process is the production line producing boxes of cereal. c. Sampling from a process. The process is one of generating arrivals to the Golden Gate Bridge. d. Finite population. A frame could be constructed by obtaining a listing of students enrolled in the course from the professor....
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 Fall '08
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 Standard Deviation

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