SOLUTION: What critical region(s) for z would be used to test the hypotheses: H_0:μ=12 and H_a:μ≠12, for  = 0.01 ?

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Question 1009883: What critical region(s) for z would be used to test the hypotheses: H_0:μ=12 and H_a:μ≠12, for  = 0.01 ?
Answer by stanbon(75887) About Me  (Show Source):
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What critical region(s) for z would be used to test the hypotheses: H_0:μ=12 and H_a:μ≠12, for  = 0.01 ?
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Since you are testing equality in Ho, you need a 2-tail test.
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The reject intervals at 1% significance are 0.005 in the left
tail and 0.005 in the right tail.
The z boundary for the left tail is -2.5758
The z boundary for the right tail is +2.5758
If z in in either of those tails you reject Ho.
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Answer:: z < -2.5758 OR z > +2.5758
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Cheers,
Stan H.
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