We know if X has mean and standard
deviation of
, then By CLT
we know that for sample of size n the sample mean X_bar will follow
normal distribution with mean
and standard
deviation
if n is greater than 30.
Here n= 64 , = 100 ,
=16
So the mean of X_bar is = 100 lb
Standard deviation of X_bar is =
= 2 lb
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