Question 247397: To test the null hypothesis that the average lifetime for a particular brand of bulb is 775 hours versus the alternative that the average lifetime is different from 775 hours, a sample of 120 bulbs is used. If the standard deviation is 65 hours and α is equal to 0.01, what values for will result in rejection of the null hypothesis (Please show all work, thank you.)
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 775 hours versus the alternative that the average lifetime is different from 775 hours, a sample of 120 bulbs is used. If the standard deviation is 65 hours and α is equal to 0.01, what values for the test statistic will result in rejection of the null hypothesis (Please show all work, thank you.)
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Find the critical values of t for a 2-tail test with alpha = 1%
and df = 119:
t = -2.6178 or t = 2.6178
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Any test statistics below t = -2.6178.. or above t = 2.6178..
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Cheers,
Stan H.
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