The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 744 789 807 116 181 256 419 865 924 983 1025 1277 1291 1357 1369 1603 1605 1697 1735 442 462 1062 1064 1409 1456 1799 1815 739 1192 1222 1222 1252 1519 1578 1578 1599 1899 1926 1966 516 1166 1478 1852 (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 sample size is large enough for the confidence interval to be reasonable. O No, the sample size is not large enough for the confidence interval to be reasonable. Yes, the range is sufficiently large enough for the confidence interval to be reasonable. No, the range is not large enough for the confidence interval to be reasonable. O No, we need to assume that the population is normally distributed. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x= 1192.0 and s= 506.5.] (Round your answers to one decimal place.) Interpret the resulting 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. We are 99% confident that the true population mean lies above this interval.

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The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
256 419
442
983 1025 1062
1357 1369 1409
1735 1799
462
1064
1456
1815
116
181
865
1277
924
1291
1603 1605 1697
516
1166
1478
1852
744
789
1222
1222
739
1192
1519
1899 1926 1966
1578
1578
(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 sample size is large enough for the confidence interval to be reasonable.
O No, the sample size is not large enough for the confidence interval to be reasonable.
o Yes, the range is sufficiently large enough for the confidence interval to be reasonable.
O No, the range is not large enough for the confidence interval to be reasonable.
O No, we need to assume that the population is normally distributed.
807
1252
1599
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.5.]
(Round your answers to one decimal place.)
Interpret the resulting interval.
We are 99% confident that the true population mean lies below this interval.
o We are 99% confident that this interval contains the true population mean.
o We are 99% confident that this interval does not contain the true population mean.
We are 99% confident that the true population mean lies above this interval.
Transcribed Image Text:The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 256 419 442 983 1025 1062 1357 1369 1409 1735 1799 462 1064 1456 1815 116 181 865 1277 924 1291 1603 1605 1697 516 1166 1478 1852 744 789 1222 1222 739 1192 1519 1899 1926 1966 1578 1578 (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 sample size is large enough for the confidence interval to be reasonable. O No, the sample size is not large enough for the confidence interval to be reasonable. o Yes, the range is sufficiently large enough for the confidence interval to be reasonable. O No, the range is not large enough for the confidence interval to be reasonable. O No, we need to assume that the population is normally distributed. 807 1252 1599 (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.5.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that the true population mean lies below this interval. o We are 99% confident that this interval contains the true population mean. o We are 99% confident that this interval does not contain the true population mean. We are 99% confident that the true population mean lies above this interval.
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