The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 181 255 419 441 461 516 739 744 789 808 865 925 983 1025 1062 1064 1165 1191 1222 1222 1251 1278 1291 1358 1369 1408 1456 1479 1519 1578 1578 1599 1604 1605 1697 1736 1799 1815 1853 1899 1926 1965 (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 No, we need to assume that the population is normally distributed. O No, the range is not 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, 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. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.7.] (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 this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean. O we are 99% confident that the true population mean lies below this interval.
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 181 255 419 441 461 516 739 744 789 808 865 925 983 1025 1062 1064 1165 1191 1222 1222 1251 1278 1291 1358 1369 1408 1456 1479 1519 1578 1578 1599 1604 1605 1697 1736 1799 1815 1853 1899 1926 1965 (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 No, we need to assume that the population is normally distributed. O No, the range is not 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, 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. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.7.] (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 this interval contains the true population mean. We are 99% confident that this interval does not contain the true population mean. O we are 99% confident that the true population mean lies below this interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
116
181
255
419
441
461
516
739
744
789
808
865
925
983
1025
1062
1064
1165
1191
1222
1222
1251
1278
1291
1358
1369
1408
1456
1479
1519
1578
1578
1599
1604
1605
1697
1736
1799
1815
1853
1899
1926
1965
(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.]
No, we need to assume that the population is normally distributed.
No, the range 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 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.
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s =
506.7.] (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 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 below this interval.
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05998c5-9aa7-4463-a9df-7f7abe049b9d%2Fad688018-d76f-4ea0-b446-d8fe513d9007%2F0ulb3_processed.png&w=3840&q=75)
Transcribed Image Text:The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
116
181
255
419
441
461
516
739
744
789
808
865
925
983
1025
1062
1064
1165
1191
1222
1222
1251
1278
1291
1358
1369
1408
1456
1479
1519
1578
1578
1599
1604
1605
1697
1736
1799
1815
1853
1899
1926
1965
(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.]
No, we need to assume that the population is normally distributed.
No, the range 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 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.
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s =
506.7.] (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 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 below this interval.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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