Ask Me Help Desk - Sketch the two specified normal curves on the same set of axes

You are probably aware that the center of the "bell curve" is at the value of $\mu$ , and the width of the bell curve is related to $\sigma$ . The formula for the normal distribution function is:

$<br /> f(x) = \frac 1 {\sqrt{2 \pi \sigma ^2}} e^ {-\frac {(x- \mu)^2} {2 \sigma^2}}<br />$

I suggest that you plot a few values around the value of $\mu$ , going out to $\pm 3 \sigma$ in either direction, and see how it looks. Because the value of $\sigma$ is the same for both curves, the two curves should look the same except shifted so that one is centered at x = 20 and the other at x = 30.