3. The following observations are lifetimes (in days) subsequent to diagnosis for individuals suffering from a rare cancer. 115 181 | 255 | 418 | 441 461 | 516 739 743 789 | 807 865 924 983 1025 | 1062 | 1063 | 1165 1191 1222 | 1222 | 1251 1277 1290 1357 1369 1408 | 1455 1478| 1519 | 1578 | 1578 | 1599 | 1603 1605 | 1696 1735 1799 | 1815 | 1852 1899 | 1925 1965 (a) Can a confidence interval for true average lifetime to be constructed without assuming anything about the nature of the lifetime distribution? Explain. (b) Construct a confidence interval with a 99% confidence level for true average lifetime. You can use the following statistics if needed. Σ51,240, Σπ-' = 10,730,520 (c) Estimate how many additional data points are needed to obtain an con- fidence interval with a half-width of 150 days or less (use the same confidence level).
3. The following observations are lifetimes (in days) subsequent to diagnosis for individuals suffering from a rare cancer. 115 181 | 255 | 418 | 441 461 | 516 739 743 789 | 807 865 924 983 1025 | 1062 | 1063 | 1165 1191 1222 | 1222 | 1251 1277 1290 1357 1369 1408 | 1455 1478| 1519 | 1578 | 1578 | 1599 | 1603 1605 | 1696 1735 1799 | 1815 | 1852 1899 | 1925 1965 (a) Can a confidence interval for true average lifetime to be constructed without assuming anything about the nature of the lifetime distribution? Explain. (b) Construct a confidence interval with a 99% confidence level for true average lifetime. You can use the following statistics if needed. Σ51,240, Σπ-' = 10,730,520 (c) Estimate how many additional data points are needed to obtain an con- fidence interval with a half-width of 150 days or less (use the same confidence level).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The following observations are lifetimes (in days) subsequent to diagnosis for individuals suffering from a rare cancer.

Transcribed Image Text:3. The following observations are lifetimes (in days) subsequent to diagnosis for individuals
suffering from a rare cancer.
516 739 | 743 789 | 807 | 865
115 181 | 255 | 418
983 1025 1062 1063 1165 | 1191 1222 | 1222 1251 1277 1290
1357 1369 1408 | 1455 1478 1519 | 1578 1578 | 1599 1603 1605 1696
1735 1799 1815 1852 1899 1925 1965
441| 461
924
(a) Can a confidence interval for true average lifetime to be constructed
without assuming anything about the nature of the lifetime distribution? Explain.
(b) Construct a confidence interval with a 99% confidence level for true
average lifetime. You can use the following statistics if needed.
Et; = 51, 240, E(x; – a)² = 10,780, 520
(c) Estimate how many additional data points are needed to obtain an con-
fidence interval with a half-width of 150 days or less (use the same confidence level).
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