The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. If 16 fish are randomly selected, what is the probability that the mean weight will be between 15.6 and 21.6 lb?
A) 0.4032
B) 0.0968
C) 0.3270
D) 0.6730

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will have a mean of 18 lb and a standard deviation of 12/sqrt(16) = 3 lb. Using the standard normal distribution, the probability that the sample mean is between 15.6 and 21.6 lb is approximately 0.6730.

The Weights of the Fish in a Certain Lake Are