SOLUTION: What critical region(s) for z would be used to test the hypotheses: H0:µ and Ha:µ≠10,for α = 0.025 ? State the null hypothesis Ho and the alternative hypothesis H

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Question 367477: What critical region(s) for z would be used to test the hypotheses: H0:µ and Ha:µ≠10,for α = 0.025 ?


State the null hypothesis Ho and the alternative hypothesis Ha that would be used for a hypothesis test related to each of the following statements:
The mean weight of packages shipped on Air Express during the past month was less than 36.7 lb.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What critical region(s) for z would be used to test the hypotheses:
H0:µ = 10
Ha:µ is not equal to 10,
for alpha = 0.025 ?
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Ha implies you have a two-tail test
That gives you two tails with alpha/2 = 0.0125
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The z-values with a left/right tail of 0.0125 = +-2.2414
I used a TI-84 to get those values: "invNorm(0.0125)"
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CV: z< -2.2414 or z > +2.2414
That means you will reject Ho if z< -2.2414 or z> 2.2414
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State the null hypothesis Ho and the alternative hypothesis Ha that would be used for a hypothesis test related to each of the following statements:
The mean weight of packages shipped on Air Express during the past month was less than 36.7 lb.
Ho: u >= 36.7
Ha: u < 36.7
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Cheers,
Stan H.