State the decision rule that would be used to test the following hypotheses. Evaluate the appropriate test

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

(a) H0: μ = 120 versus H1: μ < 120; = 114.2, n = 25, σ = 18, α = 0.08

(b) H0: μ = 42.9 versus H1: μ ≠ 42.9; = 45.1, n = 16, σ = 3.2, α = 0.01

(c) H0: μ = 14.2 versus H1: μ > 14.2; = 15.8, n = 9, σ = 4.1, α = 0.13

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