Question 712216: I need to find the critical value (Zc) and be able to show the rejection and non-rejection regions of this problem:
Null and alternative hypotheses are Ho: >=30 versus Ha: <30
Mean: 28.5
95% Upper Boundary: 29.4595
Z: -2.57
P: 0.005
Please show me how I can find this information. The problem is as follows:
Claim that mean package delivery time is less than 30 min. Random sample of 36 deliveries has mean of 28.5. Standard deviation is 3.5 min. Do we have enough evidence to support the claim that delivery is less than 30 min with Alpha = 0.01 level of significance?
Please show me how to get the Zc, Rejection region and non-rejection region.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to find the critical value (Zc) and be able to show the rejection and non-rejection regions of this problem:
Null and alternative hypotheses are Ho: >=30 versus Ha: <30
Mean: 28.5
95% Upper Boundary: 29.4595
Z: -2.57
P: 0.005
Please show me how I can find this information. The problem is as follows:
Claim that mean package delivery time is less than 30 min. Random sample of 36 deliveries has mean of 28.5. Standard deviation is 3.5 min. Do we have enough evidence to support the claim that delivery is less than 30 min with Alpha = 0.01 level of significance?
Please show me how to get the Zc, Rejection region and non-rejection region.
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Since alpha = 0.01 and "Ha<30" implies you have a left-tail test,
the reject region is to the left of invNorm(0.01) = -2.3263
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Cheers,
Stan H.
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