SOLUTION: If 40 women are randomly selected find the probability that they have a mean weight between 142 and 148 pounds. the mean is 143 and the standard deviation is 29

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Question 1040418: If 40 women are randomly selected find the probability that they have a mean weight between 142 and 148 pounds. the mean is 143 and the standard deviation is 29
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mu)/sd/sqrt (n), for the sampling distribution of n=40 with mean 143 and sd 29
z=(142-143)/29/sqrt(40)=-1*sqrt(40)/29=-0.218
z=(148-143)/29/sqrt(40)=+5*sqrt(40)/29=+1.090
it is the probability that z is between -0.218 and 1.09. That is 0.4484