SOLUTION: A random sample of 100 items is drawn from a population that has shown to have a mean of 30 and a standard deviation of 16. What is the probability that the mean is between 22.1 a

Question 889375: A random sample of 100 items is drawn from a population that has shown to have a mean of 30 and a standard deviation of 16. What is the probability that the mean is between 22.1 and 26.8?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A random sample of 100 items is drawn from a population that has shown to have a mean of 30 and a standard deviation of 16. What is the probability that the mean is between 22.1 and 26.8?
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z(22.1) = (22.1-30)/16 = -0.4938
z(26.8) = (26.8-30)/16 = -0.2000
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P(22.1 < x < 26.8) = P(-0.4938 < z < -0.2000) = 0.1100
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Cheers,
Stan H.
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