A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 1.1 6.0 1.9 5.4 0.4 1.0 5.3 2.0 15.6 0.9 4.8 0.9 12.1 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%? 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 critical values that capture an area of 0.1 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 a new value of n to capture an area of 0.005 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
A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 1.1 6.0 1.9 5.4 0.4 1.0 5.3 2.0 15.6 0.9 4.8 0.9 12.1 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%? 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 critical values that capture an area of 0.1 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 a new value of n to capture an area of 0.005 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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 43E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 25 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill