The heights of adult women are
normally distributed with a mean of 62.5 inches and a standard deviation of 2.5 inches. Determine
between what two heights 68.2% of adult women will fall.

The D.O.T. collected
data for a particular stretch of I-85 and found that the average speed was 70 mph with a
standard deviation of 15 mph and the distribution is approximately normally distributed. The
actual Speed Limit for the stretch of road is a maximum of 70 mph and minimum of 40 mph. What
percentage of drivers actually drive between 40mph and 70 mph?

The weight of a specific type of
male monkey is normally distributed with a mean of 15 pounds and a standard deviation of 3 pounds.
What is the z-score for a monkey weighing 19 pounds?

A study was being
conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds
with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature
births weights are in the lowest 1% of births. What would be the birth weight associated with
the lowest 1%? ( Hint: First use the invNorm command
in your calculator to find the z-score and then solve for x to find the birth
rate)