ISM_Chapter_10

ISM_Chapter_10 - Chapter 10 10.1 A point estimator is a...

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Unformatted text preview: Chapter 10 10.1 A point estimator is a single value; an interval estimator is a range of values. 10.2 An unbiased estimator of a parameter is an estimator whose expected value equals the parameter. 10.3 10.4 10.5 An unbiased estimator is consistent if the difference between the estimator and the parameter grows smaller as the sample size grows. 10.6 207 10.7 If there are two unbiased estimators of a parameter, the one whose variance is smaller is relatively efficient. 10.8 10.9 a. n / z x 2 / = 100 1.645(25/ 50 ) = 100 5.82; LCL = 94.18, UCL = 105.82 b. n / z x 2 / = 100 1.96(25/ 50 ) = 100 6.93; LCL = 93.07, UCL = 106.93 c. n / z x 2 / = 100 2.575(25/ 50 ) = 100 9.11; LCL = 90.89, UCL = 109.11 d. The interval widens. 10.10 a. n / z x 2 / = 200 1.96(50/ 25 ) = 200 19.60; LCL = 180.40, UCL = 119.60 b. n / z x 2 / = 200 1.96(25/ 25 ) = 200 9.80; LCL = 190.20, UCL = 209.80 c. n / z x 2 / = 200 1.96(10/ 25 ) = 200 3.92; LCL = 196.08, UCL = 203.92 d. The interval narrows. 10.11 a. n / z x 2 / = 80 1.96(5/ 25 ) = 80 1.96; LCL = 78.04, UCL = 81.96 b. n / z x 2 / = 80 1.96(5/ 100 ) = 80 .98; LCL = 79.02, UCL = 80.98 c. n / z x 2 / = 80 1.96(5/ 400 ) = 80 .49; LCL = 79.51, UCL = 80.49 d. The interval narrows. 10.12 a. n / z x 2 / = 500 2.33(12/ 50 ) = 500 3.95; LCL = 496.05, UCL = 503.95 b. n / z x 2 / = 500 1.96(12/ 50 ) = 500 3.33; LCL = 496.67, UCL = 503.33 c. n / z x 2 / = 500 1.645(12/ 50 ) = 500 2.79; LCL = 497.21, UCL = 502.79 d. The interval narrows. 208 10.13 a. n / z x 2 / = 500 2.575(15/ 25 ) = 500 7.73; LCL = 492.27, UCL = 507.73 b. n / z x 2 / = 500 2.575(30/ 25 ) = 500 15.45; LCL = 484.55, UCL = 515.45 c. n / z x 2 / = 500 2.575(60/ 25 ) = 500 30.91; LCL = 469.09, UCL = 530.91 d. the interval widens. 10.14 a. n / z x 2 / = 10 1.645(5/ 100 ) = 10 .82; LCL = 9.18, UCL = 10.82 b....
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This note was uploaded on 04/09/2008 for the course OMIS 41 taught by Professor Schaffzin,richard during the Spring '08 term at Santa Clara.

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ISM_Chapter_10 - Chapter 10 10.1 A point estimator is a...

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