SOLUTION: A sample of n = 100 observation drawn from a normal population , with standard deviation of 200 and mean of 1000. find probalilty that mean is greater than 1100.

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Question 241852: A sample of n = 100 observation drawn from a normal population , with standard deviation of 200 and mean of 1000. find probalilty that mean is greater than 1100.
Answer by stanbon(75887) About Me  (Show Source):
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A sample of n = 100 observation drawn from a normal population , with standard deviation of 200 and mean of 1000. find the probabilty the sample mean is greater than 1100.
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Find the z-value of 1100.
z(1100) = (1100-1000)/[200/sqrt(100)] = 100/[200/10]
= 100/20 = 5
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P(x > 1100) = P(z > 5) = 0.00000028710..
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Cheers,
Stan H.