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2. ㅢ5 points DevoreStat97 E.010 My Notes Ask Your Teacher + A random sample of n-15 heat pumps of a certain type yielded the following observations on lifetime (in years): 2.0 1.4 6.0 1.6 5.3 0.4 1.0 5.3 15.8 0.7 4.80.9 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.) years (b) How should the interval of part (a) be altered to achieve a confidence level of 99%? A 99% confidence level requires using critical values that capture an area of 0.005 in each tail of the chi-squared distribution A 99% confidence level requires using a new value of n to capture an area of 0.005 in each tail of the chi-squared distribution A 99% confidence level requires using critical values that capture an area of 0.1 in each tail of the chi-squared distribution A 99% confidence level requires using a new value of n to capture an area of 0.1 in each tail of the chi-squared distribution (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?] (Round your answers to two decimal places.) years

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ˋ万2 mole 4.22 + 2·(45メ 1 5

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