SOLUTION: Question No. 9 The weights of a certain population of pregnant women are approximately normally distributed with a mean of 62 kilogram and a standard deviation of 16. Find the pro

Question 1151901: Question No. 9
The weights of a certain population of pregnant women are approximately normally distributed with a mean of 62 kilogram and a standard deviation of 16. Find the probability that 16 women selected at random from this population will have the mean weight between 45 and 75 kilogram and interpret the result
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
A population of women’s weights is approximately normally distributed with a mean of... (answered by Boreal)

The weights of a certain population of pregnant women are approximately normally... (answered by Theo)

The weights of people in a certain population are normally distributed with a mean of 154 (answered by Boreal)

Question No. 7 A study conducted among 29-year-old male, acetone levels were normally... (answered by Boreal)

The distribution of weights in a large group is approximately normally distributed. The... (answered by stanbon)

Question text The weights of sophomore high school boys in a certain high school is... (answered by ewatrrr)

Suppose certain coins have weights that are normally distributed with a mean of 5.661 g... (answered by Boreal)

The weights of books on a library shelf are normally distributed with a mean of 3.1... (answered by Boreal)

8.1 #6 Suppose the lengths of the pregnancies of a certain animal are approximately... (answered by Boreal)