The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 115 182 256 419 442 462 516 739 744 789 808 865 924 984 1026 1062 1063 1165 1192 1222 1222 1251 1479 1578 1925 1277 1291 1358 1369 1409 1455 1519 1578 1599 1603 1605 1696 1736 1799 1815 1853 1899 1966 (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. Yes, the sample size is 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. O 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 = 1192.0 and s = 506.5.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that this interval does not contain the true population mean. 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 the true population mean lies above this interval.
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 115 182 256 419 442 462 516 739 744 789 808 865 924 984 1026 1062 1063 1165 1192 1222 1222 1251 1479 1578 1925 1277 1291 1358 1369 1409 1455 1519 1578 1599 1603 1605 1696 1736 1799 1815 1853 1899 1966 (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. Yes, the sample size is 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. O 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 = 1192.0 and s = 506.5.] (Round your answers to one decimal place.) Interpret the resulting interval. We are 99% confident that this interval does not contain the true population mean. 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 the true population mean lies above this interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please solve and show/explain steps for (b). The answer is not (983.6, 1400.4). Thanks!
![The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
115
182
256
419
442
462
516
739
744
789
808
865
924
984
1026
1062
1063
1165
1192
1222
1222
1251
1277
1291
1358
1369
1409
1455
1479
1519
1578
1578
1599
1603
1605
1696
1736
1799
1815
1853
1899
1925
1966
(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.
O Yes, the sample size is large enough for the confidence interval to be reasonable.
O No, we need to assume that the population is normally distributed.
O No, the sample size is not large enough for the confidence interval to be reasonable.
O 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 = 1192.0 and s = 506.5.] (Round your answers to one decimal place.)
Interpret the resulting interval.
We are 99% confident that this interval does not contain the true population mean.
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.
O we are 99% confident that the true population mean lies above this interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc32f563a-6b55-4123-a4c3-1254c39a7403%2F9bae704b-9068-4049-817a-01535edeb12d%2Fewwh9zg_processed.png&w=3840&q=75)
Transcribed Image Text:The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
115
182
256
419
442
462
516
739
744
789
808
865
924
984
1026
1062
1063
1165
1192
1222
1222
1251
1277
1291
1358
1369
1409
1455
1479
1519
1578
1578
1599
1603
1605
1696
1736
1799
1815
1853
1899
1925
1966
(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.
O Yes, the sample size is large enough for the confidence interval to be reasonable.
O No, we need to assume that the population is normally distributed.
O No, the sample size is not large enough for the confidence interval to be reasonable.
O 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 = 1192.0 and s = 506.5.] (Round your answers to one decimal place.)
Interpret the resulting interval.
We are 99% confident that this interval does not contain the true population mean.
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.
O we are 99% confident that the true population mean lies above this interval.
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