SOLUTION: The lengths of pregnancies are normally distributed with a mean of 272 days and a standard deviation of 25 days. If 100 women are randomly selected, find the probability that they

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Question 1146778: The lengths of pregnancies are normally distributed with a mean of 272 days and a standard deviation of 25 days. If 100 women are randomly selected, find the probability that they have a mean pregnancy between 272 days and 274 days.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The z score would be between (x bar-mean)/sd/sqrt(n).
This is between z of 0 (272 days) & (274-272)/25/sqrt(100)
z=2*10/25
z=0.8
probability of z between 0 and 0.8 is 0.2881