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How large a sample should be selected to provide a 95% confidence interval with a margin...

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 4? Assume that the population standard deviation is 30 . Round your answer to next whole number.

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Answer #1

Solution :

Given that,

standard deviation = = 30

margin of error = E = 4

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

Sample size = n = ((Z/2 * ) / E)2

= ((1.960 * 30) / 4 )2

= 216.09

= 216

Sample size = 216

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