A random sample of n 5 15 heat pumps of a certain typeyielded the following observations

Chapter 7, Problem 10

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A random sample of n 5 15 heat pumps of a certain typeyielded the following observations on lifetime (in years):2.0 1.3 6.0 1.9 5.1 .4 1.0 5.315.7 .7 4.8 .9 12.2 5.3 .6a. Assume that the lifetime distribution is exponentialand use an argument parallel to that of Example 7.5 toobtain a 95% CI for expected (true average) lifetime.b. How should the interval of part (a) be altered toachieve a confidence level of 99%?c. What is a 95% CI for the standard deviation of thelifetime distribution? [Hint: What is the standarddeviation of an exponential random variable?]

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