SOLUTION: is this a normal distribution or sampling distribution question? and then how do you solve it? The state of California has a mean annual rainfall of 27.6 inches, whereas the sta

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Question 1021692: is this a normal distribution or sampling distribution question? and then how do you solve it?
The state of California has a mean annual rainfall of 27.6 inches, whereas the state of New York has a mean annual rainfall of 48.7 inches. Assume the standard deviation for California is 4.9 inches and for New York is 3.1 inches. Find the probability that, for a sample of 35 years of rainfall for California, the mean annual rainfall is at least 29 inches. (answer rounded 4 decimal places)
p(z=>29inches)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
It is the usual normal distribution problem, but the r.v. X is the sample mean.

==> P%28X%3E=29%29+=+P%28Z%3E=0.169%29
Now use your usual standard normal distribution table and scientific calculator to find the probability.