Question 1151901
for the mean weight, z= (mean of sample- mu)/sigma/sqrt(n)
for 45 z=(45-62)/16/sqrt(16)=-17*4/16=-4.25
for 75 z=(75-62)/16/sqrt(16)=13*4/16=52/16=+3.25

probability z is between those two numbers is 0.9994.

While it is quite possible a woman may be less than or greater than 1 sd from the mean, it is highly unlikely a random sample of 16 of those women would be more than 1 sd from the mean.