MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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1-X = ¹/2 (X₁ + · · · + Xn) is an unbiased estimator for the population mean. FALSE 2-S² = ¹₁((X₁ - Ă)² + TRUE + (Xn - X)²) is an unbiased estimator for the population variance. TRUE FALSE 3-S = √S is an unbiased estimator for the population standard deviation. 6-If X₁, TRUE 4-If X₁,..., Xn are iid uniform (0, 0), with unknown, then 2X is an unbiased estimator for 0. TRUE FALSE 5-If X₁,. ‚ Xñ are iid N (0, 1), then X is also normally distributed. TRUE FALSE FALSE ‚‚ Xn are iid N (0, 1), then X is also normally distributed, with variance 1. TRUE TRUE FALSE 7-If X₁,..., X100 are iid N(0, 1), then the chance the 95% confidence interval (X - .196, X + .196) contains is .95. FALSE 8-Construct 100 confidence intervals for a population mean. The sample size is large, and use 95% confidence. About 5 of the intervals do not contain the population mean. TRUE FALSE 9-For X Binom(1000, p), the value of p that makes the variance of X largest is p = 0.5. TRUE FALSE
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Transcribed Image Text:1-X = ¹/2 (X₁ + · · · + Xn) is an unbiased estimator for the population mean. FALSE 2-S² = ¹₁((X₁ - Ă)² + TRUE + (Xn - X)²) is an unbiased estimator for the population variance. TRUE FALSE 3-S = √S is an unbiased estimator for the population standard deviation. 6-If X₁, TRUE 4-If X₁,..., Xn are iid uniform (0, 0), with unknown, then 2X is an unbiased estimator for 0. TRUE FALSE 5-If X₁,. ‚ Xñ are iid N (0, 1), then X is also normally distributed. TRUE FALSE FALSE ‚‚ Xn are iid N (0, 1), then X is also normally distributed, with variance 1. TRUE TRUE FALSE 7-If X₁,..., X100 are iid N(0, 1), then the chance the 95% confidence interval (X - .196, X + .196) contains is .95. FALSE 8-Construct 100 confidence intervals for a population mean. The sample size is large, and use 95% confidence. About 5 of the intervals do not contain the population mean. TRUE FALSE 9-For X Binom(1000, p), the value of p that makes the variance of X largest is p = 0.5. TRUE FALSE
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