SOLUTION: The mean precipitation for Miami in August is 8 .9 inches and the standard deviation is 1.6 inches. Find the probability that a sample of 10 August months will have a mean of les

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Question 1126497:
The mean precipitation for Miami in August is 8 .9 inches and the standard deviation is 1.6 inches. Find the probability that a sample of 10 August months will have a mean of less than 8.2 inches

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a t df=9
t=(xbar-mean)/s/sqrt(n)
t< (8.2-8.9)/1.6/sqrt(10)
t < -0.7*sqrt(10)/1.6
t< -1.38
probability is 0.1003