What would be the minimum sample size, taken from a normal population with standard deviation 1,...

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What would be the minimum sample size, taken from a normal population with standard deviation 1,...

What would be the minimum sample size, taken from a normal population with standard deviation 1, to ensure we are 95% confident our estimate within .01 of the true population mean?

math Statistics-And-Probability

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Answer 1

Answer #1

Solution :

Given that standard devaition σ = 1 , margin of error E = 0.01

=> for 95% confidence level, Z = 1.96

=> Sample size n = (Z*σ/E)^2

= (1.96*1/0.01)^2

= 38416

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Answer 2

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