Problem 8.15 (a) The graph of the power function in Figure 8.2 is an increasing function of . Show that this is a consequence of

Problem 8.15

(a) The graph of the power function in Figure 8.2 is an increasing function of µ. Show that this is a consequence of the fact that the power function defined by Equation

π(µ)=1 − Φ √n(c − µ) σ is an increasing function of µ. Hint: Use the fact that Φ(x) is an increasing function of x.

(b) The graph of the power function in Figure 8.6 is a decreasing function of µ. Show that this is a consequence of the fact that the power function defined by Equation 8.11 π(µ)=Φ √n(c − µ) σ is a decreasing function of µ.