A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years):
2.0 | 1.5 | 6.0 | 1.7 | 5.2 | 0.4 | 1.0 | 5.3 |
15.7 | 0.5 | 4.8 | 0.9 | 12.2 | 5.3 | 0.6 |
(a) Assume that the lifetime distribution is exponential and use an argument parallel to that of this example to obtain a 95% CI for expected (true average) lifetime. (Round your answers to two decimal places.)
________ and _________ years
(b.) What is a 95% CI for the standard deviation of the lifetime distribution? [Hint: What is the standard deviation of an exponential random variable?] (Round your answers to two decimal places.)
________ and _________ years
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