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The mean time between failures (in hours) for a Telektronic Company radio used in light aircraft...

The mean time between failures (in hours) for a Telektronic Company radio used in light aircraft is 420h. After 15 new radios were modified in an attempt to improve reliability, tests were conducted to measure the times between failures. For the 15 new radios, the average time between failures was 434.73h and the standard deviation was 18.01h. Compute a 95% confidence interval. Does it appear that the modification improved the reliability?

Math   Statistics-And-Probability   
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Answer #1

Let denotes the average time between failures for new radios.

Since the lower bound of the confidence interval > 420, so at 95% confidence level or at 5% level of significance, we can conclude that the modification improved the reliability.

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