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The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 181 255 419 441 461 517 739 743 789 807 924 984 1026 1063 1063 1166 1191 1222 1222 1277 1290 1369 1408 1455 1479 1357 1605 1696 1735 1799 1815 1252 1519 1578 1578 1599 1852 1899 1926 1966 1603 116 865 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.] O Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, we need to assume that the population is normally distributed. No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the sample size is large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1191.9 and s= 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that the true population mean lies above this interval. We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean.

The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 181 255 419 441 461 517 739 743 789 807 924 984 1026 1063 1063 1166 1191 1222 1222 1277 1290 1369 1408 1455 1479 1357 1605 1696 1735 1799 1815 1252 1519 1578 1578 1599 1852 1899 1926 1966 1603 116 865 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.] O Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, we need to assume that the population is normally distributed. No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the sample size is large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1191.9 and s= 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that the true population mean lies above this interval. We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean.

MATLAB: An Introduction with Applications
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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The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 181 461 517 739 743 789 865 255 984 1357 419 441 1026 1063 1166 1369 1408 1455 1479 1063 924 1290 1191 1222 1222 1277 1519 1578 1578 1899 1926 1966 1603 1605 1696 1735 1799 1815 1852 807 1252 1599 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.] Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, we need to assume that the population is normally distributed. No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the sample size is large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1191.9 and s = 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that the true population mean lies above this interval. We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean.
Transcribed Image Text:The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 181 461 517 739 743 789 865 255 984 1357 419 441 1026 1063 1166 1369 1408 1455 1479 1063 924 1290 1191 1222 1222 1277 1519 1578 1578 1899 1926 1966 1603 1605 1696 1735 1799 1815 1852 807 1252 1599 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution? Explain your reasoning. [Note: A normal probability plot of the data exhibits a reasonably linear pattern.] Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, we need to assume that the population is normally distributed. No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the sample size is large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1191.9 and s = 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that the true population mean lies above this interval. We are 99% confident that the true population mean lies below this interval. We are 99% confident that this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean.
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