SOLUTION: A battery company claims that its batteries last an average of 100 hours under normal use. After several complaints that the batteries do not last this long, an independent testi

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Question 1101474:
A battery company claims that its batteries last an average of 100 hours under normal use. After several complaints that the batteries do not last this long, an independent testing laboratory decided to test the company’s claim with a random sample of 42 batteries. The data from the 42 batteries appeared to be unimodal and symmetric with a mean 97 hours and a standard deviation of 12 hours.
Find a 90 % confidence interval for \muμ. Round your interval values out.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A battery company claims that its batteries last an average of 100 hours under normal use. After several complaints that the batteries do not last this long, an independent testing laboratory decided to test the company’s claim with a random sample of 42 batteries. The data from the 42 batteries appeared to be unimodal and symmetric with a mean 97 hours and a standard deviation of 12 hours.
Find a 90 % confidence interval for \muμ. Round your interval values out.
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Sample mean:: 97
ME = 1.645*12/sqrt(42) = 3.046
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90% CI:: 97-3.046 < u < 97+3.046
90% CI:: 93.954 < u < 100.046
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Cheers,
Stan H.
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