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)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:method of estimation comes closer?
Of the total number of physicians in the population is 532,638. Which
Exercise 2.3. The following table gives the weight (lbs) and age (years) of 4 persons.
Amy Bob Chris
110
50
100
28
18
24
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 = F X +
(y-r x)
N (n-1)
1
where F = -2, and other symbols have their usual meanings.
ni= x₁
Don
150
76
(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(t)
of
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