1. In each case, sketch the two specified normal curves on the same set of axes:

a. A normal curve with m = 20 and s = 3, and a normal curve with m = 20 and s = 6.

b. A normal curve with m = 20 and s = 3, and a normal curve with m = 30 and s = 3.

c. A normal curve with m = 100 and s = 10, and a normal curve with m = 200 and s = 20.

2. Let x be a normally distributed random variable having mean m = 30 and standard deviation s = 5. Find the z value for each of the following observed values of x:

a. x = 25 d x = 40

b. x = 15 e x = 50

c. x = 30

In each case, explain what the z value tells us about how the observed value of x compares to the mean, m.