I am stuck on a probability question. I am looking for probability that the mean

Question

I am stuck on a probability question.

I am looking for probability that the mean price of a sample of 30 stations is within the $0.03 of the population mean. A. given n=30, B. n=50 and C. n=100 I can't figure out how to do this using excel or standard formulas. I don't want the answers I want to know how to do it. Thanks so much for any and all help. (It looks like a normal distribution)

µ = 3.13
s = 0.20


n = 30
P(3.10 < x < 3.16) =

n = 50
P(3.10 < x < 3.16) =

n = 100
P(3.10 < x < 3.16) =

Explanation / Answer

if its a normal distribution curve, then find the standard deviation!! one standard deviation from the mean is 68% probability, two is 96% three is 99.7%. This applies to the mean of the population or any other smaller group like a sample.

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