SOLUTION: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.34 inches and standard deviation s of 3.58 inches. A random s
Algebra ->
Probability-and-statistics
-> SOLUTION: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.34 inches and standard deviation s of 3.58 inches. A random s
Log On
Question 701175: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.34 inches and standard deviation s of 3.58 inches. A random sample of 76 heights is obtained.
(A) Find the mean and standard error of the X distribution
(B) Find Px>69.25
Can some one walk me through this Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.34 inches and standard deviation s of 3.58 inches. A random sample of 76 heights is obtained.
(A) Find the mean and standard error of the X distribution
Note: I assume by "x" distribution you mean the distribution of the
sample means.
Using the Central Limit Theorem,
The mean of the sample means = mean of the population = 69.34 inches
---
The std of the sample means = (std of pop)/sqrt(sample size) = 3.58/sqrt(76)
--------------------------
(B) Find P(x>69.25)
z(69.25) = (69.25-69.34)/[3.58/sqrt(76)] = -0.2192
---
P(x > 69.25) = P(z > -0.2192) = 0.5867
=======================================
Cheers,
Stan H.
=====================
(