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

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
-------------------------------------------------
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
-----------------------------
C. Find p(x-bar > 70)
z(70) = (70-68)/0.9375 = 2.133333...
P(x-bar > 70) = P(z > 2.133333..) = 0.1645
==============================================
Cheers,
Stan H.

RELATED QUESTIONS
Assume that the population of heights of male college students is approximately normally... (answered by lynnlo)

I need help please... Assume that the population of heights of male college students... (answered by ewatrrr)

Assume that the population of heights of male college students is approximately normally... (answered by stanbon)

. Assume that the population of heights of female college students is approximately... (answered by stanbon)

Assume that the population of heights of male college students is approximately normally... (answered by solver91311)

Assume that the population of heights of male college students is approximately normally... (answered by ewatrrr)

Assume that the population of heights of male college students is approximately normally... (answered by stanbon)

Some one please explain!!! Assume that the population of heights of female college... (answered by stanbon)