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

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%
RELATED QUESTIONS
I'm stuck on this one! The overhead reach distances of adult females are normally... (answered by stanbon,ewatrrr)

Adult females have an overhead reach distance: mean of 200.5 cm with standard deviation... (answered by ewatrrr)

Please help me! In the following exercises, use this information for the overhead reach... (answered by math_tutor2020)

In the following exercises, use this information for the overhead reach distances of... (answered by ikleyn)

the overhead reach distances of adult females are normally distributed with a mean of... (answered by Theo)

6.4 4/The overhead reach distances of adult females are normally distributed with a mean... (answered by Boreal)

The overhead reach distances of adult females are normally distributed with a mean of... (answered by Boreal)

if 1 adult female is randomly selected, find the probability that her overhead reach is... (answered by Theo)

Last year, the personal best high jumps of track athletes in a nearby state were normally (answered by ewatrrr)