SOLUTION: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expe
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Question 952915: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expect to be between 170 and 175 cm tall? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expect to be between 170 and 175 cm tall?
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mean of the sample means = 170
std of the sample means = 5/sqrt(80) = 0.559
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z(170) = (170-170)/5 = 0
z(175) = (175-170)/5 = 1
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P(170< x <175) = normalcdf(0,1) = 0.3414
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Ans: 0.3414*80 = 27 when rounded down
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Cheers,
Stan H.
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