Question: Suppose that an integrated circuit chip possesses an exponential failure time distribution. Fifteen chips were put on accelerated life test until five of the chips

Suppose that an integrated circuit chip possesses an exponential failure time distribution. Fifteen chips were put on accelerated life test until five of the chips failed. The first five failures occurred at 18.2, 19.5, 24.8, 31.0, and 45.6 (in thousands of hours).

a. Find a 95% confidence interval for the mean time between failures of the circuit chips.

b. Find a 95% confidence interval for the reliability of the circuit chips at 20,000 hours.

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