SOLUTION: Determine the critical region and the critical values used to test the following null hypotheses. (a) H0: &#956; = 59 (&#8805;), Ha: &#956; < 59, &#945; = 0.1 (b)

Algebra ->  Statistics  -> Central-limit-theorem -> SOLUTION: Determine the critical region and the critical values used to test the following null hypotheses. (a) H0: &#956; = 59 (&#8805;), Ha: &#956; < 59, &#945; = 0.1 (b)      Log On


   

Question 1112398: Determine the critical region and the critical values used to test the following null hypotheses.
(a)
H0: μ = 59 (≥),
Ha: μ < 59, α = 0.1


(b)
H0: μ = −92 (≥),
Ha: μ < −92, α = 0.05


(c)
H0: μ = 110,
Ha: μ ≠ 110, α = 0.02


(d)
H0: μ = 15.8 (≤),
Ha: μ > 15.8, α = 0.01


Answer by Boreal(15235) About Me  (Show Source):
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In order to know the critical region, we need to know the standard error, standard deviation, some measure of variability, and the sample size. a, b, d are one way tests and all the critical region is on one side. c is a two way test, and the critical area is divided into two parts equally, one part on each side.