andom sample of n 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 2.0 1.2 6.0 1.6 5.4 0.4 1.0 5.3 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.) 7.53 2.69 years (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. OA 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.) 2.69 7.53 years
andom sample of n 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 2.0 1.2 6.0 1.6 5.4 0.4 1.0 5.3 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.) 7.53 2.69 years (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. OA 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.) 2.69 7.53 years
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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kindly answer the LETTER A
![A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years):
2.0 1.2 6.0 1.6
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.)
2.69
7.53
years
5.4 0.4 1.0 5.3
(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.)
2.69
7.53
years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4ce1533-ae80-4685-ae14-656f36292600%2F44681872-accc-4e3d-b1b6-2ffb8d94d359%2F9194j6k_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years):
2.0 1.2 6.0 1.6
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.)
2.69
7.53
years
5.4 0.4 1.0 5.3
(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.)
2.69
7.53
years
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