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Find the margin of error for a​ 95% confidence interval for estimating the population mean when the sample standard deviation equals 100​, with a sample size of​ (i) 484 and​ (ii) 1521. What is the effect of the sample​ size? ​(i) Find the margin of error for a​ 95% confidence interval for estimating the population mean when the sample standard deviation equals 100 with a sample size of 484.

Respuesta :

Answer:

i) the margin of error for a​ 95% confidence interval for estimating the population mean is

M.E = 8.909

ii)  the margin of error for a​ 95% confidence interval for estimating the population mean is

M.E = 5.025

Step-by-step explanation:

Step:-(i)

i )   Given sample size n = 484

Given sample standard deviation 'S' = 100

Margin of error for 95% confidence interval for estimating the population mean is determined by

              [tex]M.E = \frac{1.96 X 100}{\sqrt{484} } = 8.909[/tex]

ii) Given sample size n =1521

Given sample standard deviation 'S' = 100

Margin of error for 95% confidence interval for estimating the population mean is determined by

              [tex]M.E = \frac{1.96 X 100}{\sqrt{1521} } = 5.025[/tex]

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