Standard Error is of Population Total. We have the following data and we are required to obtain the standard error of unbiased estimate of the population total: N=160, n=64, sigma^2=4

Yaretzi Mcconnell

Yaretzi Mcconnell

Answered question

2022-11-13

Standard Error is of Population Total
We have the following data and we are required to obtain the standard error of unbiased estimate of the population total:
N = 160 , n = 64 , σ 2 = 4
My approach
We know that:
S E ( X ¯ ) = σ n . So, it can be written as:
S E ( T o t a l n ) = σ n
Which in turn will be equal to:
S E ( T o t a l ) = ( σ ) ( n ).
In the above formula, after plugging in values, I am getting S E = ( 2 ) ( 8 ) = 16
But this is not correct. The correct answer is 40. Am I doing it incorrectly? I am not sure.
Any help?

Answer & Explanation

iletsa2ym

iletsa2ym

Beginner2022-11-14Added 22 answers

Explanation:
The correct answer is obtained by multiplying the standard error with the total population.
S.E.   = 2 8 × 160 = 40

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