0 A random sample of n 15 heat pumps of a certain type yielded the following observations on lifetime in years 2 0 1 3 6 0 1 9 5

Question

0 A random sample of n 15 heat pumps of a certain type yielded the following observations on lifetime in years 2 0 1 3 6 0 1 9 5 1 4 1 0 5 3 15 7 7 4 8 9 12 2 5 3 6 a Assume that the lifetime distribution is exponential and use an argument parallel to that of Example 7 5 to obtain a 95 CI for expected true average lifetime b How should the interval of part a be altered to achieve a confidence level of 99 c What is a 95 CI for the standard deviation of the lifetime distribution Hint What is the standard deviation of an exponential random variable

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