SOLUTION: Having trouble on a. of the following problem: The State of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 in

Algebra.Com
Question 1054686: Having trouble on a. of the following problem:
The State of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.
a. Show the probability distribution of the sample mean annual rainfall for California.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Having trouble on a. of the following problem:
The State of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.
a. Show the probability distribution of the sample mean annual rainfall for California.
--------
mean of the sample means = 22 in
std of sample means = 4/sqrt(30)
-----------------------
Cheers,
Stan H.
---------------

RELATED QUESTIONS

Having trouble on a. of the following problem: The State of California has a mean... (answered by Boreal)
is this a normal distribution or sampling distribution question? and then how do you... (answered by robertb)
The state of California has a mean annual rainfall of 27.6 inches, whereas the state of... (answered by Theo)
The annual rainfall of a region has a terminal distribution with a mean rainfall of 100... (answered by stanbon)
Suppose that the annual rainfall in Ferndale, California, is known to be normally... (answered by ikleyn)
The annual rainfall in a certain region is approximately normally distributed with mean... (answered by ewatrrr)
The annual rainfall in a certain region is approximately normally distributed with mean... (answered by ewatrrr)
The annual rainfall in a certain region is approximately normally distributed with mean... (answered by CPhill)
A researcher believes that the median annual rainfall in the valley is about 33.0 inches. (answered by ikleyn)