SOLUTION: the overhead reach of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. find the probability that an individual distance is greater tha

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Question 921238: the overhead reach of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. find the probability that an individual distance is greater than 217.5 cm. find the mean for 25 randomly selected distances is greater than 203.7 cm
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean of 205 cm and a standard deviation of 8 cm
P(x > 217.5) = P( z > 17.5/8) z+=blue+%28x+-+mu%29%2Fblue%28sigma%29
P( z > 17.5/8) = normalcdf(2.1875, 100) = .0144 0r 1.44%
.........
Sample 25
P(xbar > 203.7) = P( z > -1.3/(8/sqrt(25))) z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29
P( z > -1.3/1.6) = P(z > -.8125) = normalcdf(-.8125, 100) = .7919 0r 79.19%