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Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 n 1 (*). n¹=1 Students Weight (x) Age (y) where F== Amy 110 28 Bob 50 18 Chris Don 100 150 24 76 (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, and F. (b) Show the unbiasedness of estimator of the population mean Y defined as n YHR = FX+ (N − 1) N (n-1) ( y − 1 x) persons. and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator ỹ. Hint: Use E(ỹµ )= Ỹ and V(ỹ) = ΣP, {√(1) -Ỹ}³². HR HR

Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 n 1 (*). n¹=1 Students Weight (x) Age (y) where F== Amy 110 28 Bob 50 18 Chris Don 100 150 24 76 (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, and F. (b) Show the unbiasedness of estimator of the population mean Y defined as n YHR = FX+ (N − 1) N (n-1) ( y − 1 x) persons. and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator ỹ. Hint: Use E(ỹµ )= Ỹ and V(ỹ) = ΣP, {√(1) -Ỹ}³². HR HR

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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2.3
Method of estimation comes closer? Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 28 18 where = Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) YHR=FX+ n x) N (n-1) (J-FX) 1 (*). Σ of physicians in the population is 532,638. Which Don 100 150 24 76 and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(ỹR)= Ỹ and V (Y) = ΣP₁ {√() - Y}². HR HR HR(1)
Transcribed Image Text:Method of estimation comes closer? Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris 110 50 28 18 where = Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute y, X and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) YHR=FX+ n x) N (n-1) (J-FX) 1 (*). Σ of physicians in the population is 532,638. Which Don 100 150 24 76 and other symbols have their usual meanings. (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(ỹR)= Ỹ and V (Y) = ΣP₁ {√() - Y}². HR HR HR(1)
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