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A random sample of n = 15 heat pumps of a certain type yielded the following...

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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