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

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
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. 10.6 221
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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 / σ ± α = 100 ± 1.645(25/ 50 ) = 100 ± 5.82; LCL = 94.18, UCL = 105.82 b. n / z x 2 / σ ± α = 100 ± 1.96(25/ 50 ) = 100 ± 6.93; LCL = 93.07, UCL = 106.93 c. n / z x 2 / σ ± α = 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 / σ ± α = 200 ± 1.96(50/ 25 ) = 200 ± 19.60; LCL = 180.40, UCL = 219.60 b. n / z x 2 / σ ± α = 200 ± 1.96(25/ 25 ) = 200 ± 9.80; LCL = 190.20, UCL = 209.80 c. n / z x 2 / σ ± α = 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 / σ ± α = 80 ± 1.96(5/ 25 ) = 80 ± 1.96; LCL = 78.04, UCL = 81.96 b. n / z x 2 / σ ± α = 80 ± 1.96(5/ 100 ) = 80 ± .98; LCL = 79.02, UCL = 80.98 c. n / z x 2 / σ ± α = 80 ± 1.96(5/ 400 ) = 80 ± .49; LCL = 79.51, UCL = 80.49 d. The interval narrows. 10.12 a. n / z x 2 / σ ± α = 500 ± 2.33(12/ 50 ) = 500 ± 3.95; LCL = 496.05, UCL = 503.95 b. n / z x 2 / σ ± α = 500 ± 1.96(12/ 50 ) = 500 ± 3.33; LCL = 496.67, UCL = 503.33 c. n / z x 2 / σ ± α = 500 ± 1.645(12/ 50 ) = 500 ± 2.79; LCL = 497.21, UCL = 502.79 d. The interval narrows. 10.13 a. n / z x 2 / σ ± α = 500 ± 2.575(15/ 25 ) = 500 ± 7.73; LCL = 492.27, UCL = 507.73 222
Background image of page 2
b. n / z x 2 / σ ± α = 500 ± 2.575(30/ 25 ) = 500 ± 15.45; LCL = 484.55, UCL = 515.45 c. n / z x 2 / σ ± α = 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 / σ ± α = 10 ± 1.645(5/ 100 ) = 10 ± .82; LCL = 9.18, UCL = 10.82 b. n / z x 2 / σ ± α = 10 ± 1.645(5/ 25 ) = 10 ± 1.64; LCL = 8.36, UCL = 11.64 c. n
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/28/2010 for the course FINOPMGT 250 taught by Professor Kumar during the Spring '10 term at University of Massachusetts Boston.

Page1 / 8

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online