A population has a mean of 100 and standards of deviation of 20 suppose a simple random sample of size 100 is selected and is used to estimate u . What is the probability that the sample proportion mean will be within +_ 2 of the population mean?
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Expert's answer
2020-05-04T19:09:36-0400
Sample mean is normally distributed with mean "\\mu" and standard deviation "\\frac{\\sigma}{\\sqrt{n}}"
"P(98<x<102)=P(-0.2<z<0.2)"
From =NORM.S.DIST(0.2,TRUE)-NORM.S.DIST(-0.2,TRUE) Excel formula, the answer is 0.15852
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