In the following, convert an area from one normal distribution to an equivalent area for a different normal distribution. Show details of your calculation. Use Statkey to show both normal distributions, find and label the endpoints, and shade the regions on both curves.

Provide Statkey printouts.

16. The area to the left of 16 for a N(20, 3) distribution converted to a standard normal distribution.

Find the z score. Show Statkey printouts for both distributions.

17. The area to the right of 50 in a N(40, 8) distribution converted to a standard normal distribution.

Find the z score. Show Statkey printouts for both distributions.

18. The middle 90% for a standard normal distribution converted to a N(45, 15) distribution. Use to find the Confidence Interval.

Show Statkey printouts for both distributions.