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The following observations are lifetimes (days) subsequent
Chapter 7, Problem 12E(choose chapter or problem)
Problem 12E
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer ("A Goodness of Fit Approach to the Class of Life Distributions with Unknown Age," Quality and Reliability Engr. Intl., 2012: 761-766):
a. Can a confidence interval for true average calculated without assuming anything lifetime be about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.]
b. Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: : = 1191.6 and s = 506.64
Questions & Answers
QUESTION:
Problem 12E
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer ("A Goodness of Fit Approach to the Class of Life Distributions with Unknown Age," Quality and Reliability Engr. Intl., 2012: 761-766):
a. Can a confidence interval for true average calculated without assuming anything lifetime be about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.]
b. Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: : = 1191.6 and s = 506.64
ANSWER:
A. Yes, a confidence interval for the true average can be calculated without assuming anything about the nature of the lifetime distribution. If a normal probability plot of the data exhibits a reasonably