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
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Q1 Please provide justified answer for each part
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
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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