Problem N5614 probability theory confidence interval

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Uploaded: 25.04.2023
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5614. Twenty-five lamps were taken to test the service life of electric lamps by random resampling. Their average life turned out to be 980 hours. Determine with a reliability of 0.9876 the boundaries of the confidence interval for the general average, assuming that the life of the lamps is distributed according to the normal law with a standard deviation of 20 hours.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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