Question 337022: To test the null hypothesis that the average lifetime for a particular brand of bulb is 725 hours versus the alternative that the average lifetime is different from 725 hours, a sample of 100 bulbs is used. If the standard deviation is 50 hours and α is equal to 0.01, what values for will result in rejection of the null hypothesis (show all work).
(Points :4)
A 95% confidence interval estimate for a population mean was computed to be (36.5 to 56.0). Determine the mean of the sample, which was used to determine the interval estimate (show all work).
(Points :4)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! To test the null hypothesis that the average lifetime for a particular brand of bulb is 725 hours versus the alternative that the average lifetime is different from 725 hours, a sample of 100 bulbs is used. If the standard deviation is 50 hours and α is equal to 0.01, what values for will result in rejection of the null hypothesis (show all work).
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2-tail Ttest with alpha = 1% and df = 99
Critical Value = +/-invT(0.005,99) = +/-2.6264
Reject intervals are (-inf,-2.6264)U(2.6264,+inf)
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A 95% confidence interval estimate for a population mean was computed to be (36.5 to 56.0). Determine the mean of the sample, which was used to determine the interval estimate
xbar-E = 36.5
xbar+E = 56
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2xbar = 92.5
xbar = 46.25
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Cheers,
Stan H.
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