Which estimator is better and in what sense is it better? Calculate the relative efficiency of the two estimators. 1' 7.3.5 Suppose that ①₁, Ô 2, and ①3 are estimators of 0. We know that E(Ô₁) = E(Ô2) = 0, E(Ô3) ± 0, V(Ô₁) = 12, V(Ô₂) = 10, and E(Ô3 – 0)² = 6. Compare these three estimators. Which - do you prefer? Why? = 7.2.7 WP SS VS A random sample of size n₁ 16 is selected from a normal population with a mean of 75 and a stan- dard deviation of 8. A second random sample of size n = 9 is taken from another normal population with mean 70 and standard deviation 12. Let X and X2 be the two sample means. Find: 1 a. The probability that X₁ - X2 exceeds 4 1 b. The probability that 3.5 ≤ X₁ - X₂ < 5.5 2

Which estimator is better and in what sense is it better? Calculate the relative efficiency of the two estimators. 1' 7.3.5 Suppose that ①₁, Ô 2, and ①3 are estimators of 0. We know that E(Ô₁) = E(Ô2) = 0, E(Ô3) ± 0, V(Ô₁) = 12, V(Ô₂) = 10, and E(Ô3 – 0)² = 6. Compare these three estimators. Which - do you prefer? Why? = 7.2.7 WP SS VS A random sample of size n₁ 16 is selected from a normal population with a mean of 75 and a stan- dard deviation of 8. A second random sample of size n = 9 is taken from another normal population with mean 70 and standard deviation 12. Let X and X2 be the two sample means. Find: 1 a. The probability that X₁ - X2 exceeds 4 1 b. The probability that 3.5 ≤ X₁ - X₂ < 5.5 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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