Question 316012: a microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than $90. You work for the repairer and want to test this claim. You find that a random sample of five microwave ovens has a mean repair cost of $68 and a standard deviation of $12. at alpha =0.10, do you have enough evidence to support the repairer's claim. assume the population is normally distributed
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than $90. You work for the repairer and want to test this claim. You find that a random sample of five microwave ovens has a mean repair cost of $68 and a standard deviation of $12. at alpha =0.10, do you have enough evidence to support the repairer's claim. assume the population is normally distributed
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Ho: u >= 90
Ha: u < 90 (repairer's claim)
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t(68) = (68-90)/[12/sqrt(5)] = -0.8188
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p-value = P(t< -0.8188 when df = 4) = 0.2292
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Since the p-value is greater than 10%, fail to reject Ho.
The test results do not support the repairer' s claim.
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Cheers,
stan H.
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