Chapter 6.2, Problem 1Q

State the decision rule that would be used to test the following hypotheses. Evaluate the appropriate test statistic and state your conclusion.

• (a) $H_0:\mu =120$ versus $H1:\mu <120;\bar{y}=114.2,n=25,\sigma =18,\alpha =0.08$

• (b) $H_0:\mu =42.9$ versus $H_1:\mu \ne 42.9;\bar{y}=45.1,n=16,\sigma =3.2,\alpha =0.01$

• (c) $H_0:\mu =14.2$ versus $H_1:\mu >14.2;\bar{y}=15.8,n=9,\sigma =4.1,\alpha =0.13$