# 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 : = 120 versus H 1 : < 120; y = 114.2, n

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}: μ = 120 versus H_{1}: μ < 120; *y̅* = 114.2, n = 25, σ = 18, α = 0.08

(b) H_{0}: μ = 42.9 versus H_{1}: μ ≠ 42.9; *y̅* = 45.1, n = 16, σ = 3.2, α = 0.01

(c) H_{0}: μ = 14.2 versus H_{1}: μ > 14.2; *y̅* = 15.8, n = 9, σ = 4.1, α = 0.13

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**Related Book For**

## Introduction To Mathematical Statistics And Its Applications

**ISBN:** 9780321693945

5th Edition

**Authors:** Richard J. Larsen, Morris L. Marx

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