SOLUTION: The weighs of some components are normally distributed with mean 12.98g and standard deviation 0.13g. Calculate the probability that a random sample of 15 of these components will

Question 1079472: The weighs of some components are normally distributed with mean 12.98g and standard deviation 0.13g. Calculate the probability that a random sample of 15 of these components will have a mean weight be greater than 13g
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z> (13-12.98)/0.13)/sqrt (15)
z>0.02* sqrt (15)/0.13=0.5958, which makes sense, since it is just slightly larger than the mean.
probability is 0.2742, using 0.60.
The std error of the sample mean has the same mean but the sd is the original sd/sqrt(n)

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