Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris Don 110 50 100 150 28 18 24 76 Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute ỹ, x and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) n YHR=FX+ (y-7x) N (n-1) where = ¹, and other symbols have their usual meanings. Σ n 1=1 x₁ (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(VR)=Y and V()=EP.) -Y}. HR HR HR(1)
Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris Don 110 50 100 150 28 18 24 76 Students Weight (x) Age (y) (a) Select all possible SRSWOR samples each of n = 3 units. Compute ỹ, x and F. (b) Show the unbiasedness of estimator of the population mean Y defined as (N-1) n YHR=FX+ (y-7x) N (n-1) where = ¹, and other symbols have their usual meanings. Σ n 1=1 x₁ (c) Find the relative efficiency of HR with respect to the sample mean estimator y. Hint: Use E(VR)=Y and V()=EP.) -Y}. HR HR HR(1)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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