SOLUTION: Assume that the population of heights of male students is approximately normally distributed with mean of 68 inches and Standard deviation of 3.75 inches. A random sample of 16 hei
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Question 230644: Assume that the population of heights of male students is approximately normally distributed with mean of 68 inches and Standard deviation of 3.75 inches. A random sample of 16 heights is obtained. Show all work
A. Find the proportion of male students whose height is greater than 70 inches.
B. Find the mean and Standard deviation error of the x distribution
C. Find p(x > 70) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Assume that the population of heights of male students is approximately normally distributed with mean of 68 inches and Standard deviation of 3.75 inches. A random sample of 16 heights is obtained. Show all work
z(70) = (70-68)/3.75 = 8/15
A. Find the proportion of male students whose height is greater than 70 inches.
P(x > 70) = P(z > 8/15) = 0.2969
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B. Find the mean and Standard deviation error of the x distribution
If you mean the x-bar distribution, the mean of the sample means = 68
and the std of the sample means is 3.75/sqrt(16) = 3.75/4 = 0.9375
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C. Find p(x-bar > 70)
z(70) = (70-68)/0.9375 = 2.133333...
P(x-bar > 70) = P(z > 2.133333..) = 0.1645
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Cheers,
Stan H.
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