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Given a population with a mean of µ = 270 and a standard deviation σ =...

Given a population with a mean of µ = 270 and a standard deviation σ = 29, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 220 is obtained. Calculate σx¯

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Answer #1

Solution :

Given that,

mean = = 270

standard deviation = = 29

n = 220

The sampling distribution of mean and standard deviation is ,

= 270

= / n = 29 / 220 = 1.9552

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