MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

KINDLY ANSWER THE LAST ITEM (c)

A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 1.2 6.0 1.6 5.4 0.4 1.0 5.3 2.0 15.8 0.7 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.) 6.72 X × ) years 1.71 (b) How should the interval of part (a) be altered to achieve a confidence level of 99%? O 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. O 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 0.005 in each tail of the chi-squared distribution. O A 99% confidence level requires using critical values that 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.) 3.4520 x 6.0192 X years
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Transcribed Image Text:A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 1.2 6.0 1.6 5.4 0.4 1.0 5.3 2.0 15.8 0.7 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.) 6.72 X × ) years 1.71 (b) How should the interval of part (a) be altered to achieve a confidence level of 99%? O 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. O 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 0.005 in each tail of the chi-squared distribution. O A 99% confidence level requires using critical values that 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.) 3.4520 x 6.0192 X years
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