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
Algebra ->
Probability-and-statistics
-> 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
Log On
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) (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)
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)))
P( z > -1.3/1.6) = P(z > -.8125) = normalcdf(-.8125, 100) = .7919 0r 79.19%