SOLUTION: . Assume that the population of heights of female college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 4.00 inches. A random

Click here to see ALL problems on Probability-and-statistics

Question 229808: . Assume that the population of heights of female college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 4.00 inches. A random sample of 18 heights is obtained. Show all work.

(A) Find the proportion of male college students whose height is greater than 68 inches.

(B) Find the mean and standard error of the distribution

(C) Find

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Assume that the population of heights of female college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 4.00 inches. A random sample of 18 heights is obtained. Show all work.
(A) Find the proportion of male college students whose height is greater than 68 inches.
Find the z-value of 68 in the population.
z(68) = (68-70)/4 = 1/2
P(x > 68) = P(z > 1/2) = 0.3085..
----------------------------------
(B) Find the mean and standard error of the distribution
I guess you want the mean of the sample means and the standard deviation
of the sample means:
Mean of the sample means is the same as the mean of the population: 70
----
Standard deviation of the means is 4/sqrt(18)
==================================================
Cheers,
stan H.