SOLUTION: Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lowe

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Question 865542: Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lower?
Answer by stanbon(75887) About Me  (Show Source):
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Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lower?
z(168) = (168-170)/[12/sqrt(50)] = -2/1.697 = -1.1785
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P(x-bar <= 168) = P(z <= -1.1785) = normalcdf(-100,-1.1785) = 0.1193
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Cheers,
Stan H.
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