SOLUTION: Can you please explain how to do this question: What is the probability that the sample mean will be within 6 units of the mean? A random sample of size 43 is to be selected from

Question 860087: Can you please explain how to do this question:
What is the probability that the sample mean will be within 6 units of the mean? A random sample of size 43 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 8.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the probability that the sample mean will be within 6 units of the mean? A random sample of size 43 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 8.
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"Within 6 units means 45 < x-bar < 57
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z(45) = -6/[8/sqrt(43)] = -4.9181
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z(56) = +4.9181
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P(45< x-bar < 57) = P(-4.91 < z < 4.9181) is approximately 1
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Cheers,
Stan H.
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