he following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 182 255 418 441 462 517 739 744 789 807 865 924 984 1025 1062 1064 1165 1191 1222 1222 1252 1278 1290 1357 1369 1409 1455 1479 1519 1578 1578 1599 1604 1605 1697 1735 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 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. 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. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: - 1192.0 and s- 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. O 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 the true population mean lies below this interval. . O We are 99% confident that this interval does not contain the true population mean. ou may need to use the appropriate table in the Appendix of Tables to answer this question.
he following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 116 182 255 418 441 462 517 739 744 789 807 865 924 984 1025 1062 1064 1165 1191 1222 1222 1252 1278 1290 1357 1369 1409 1455 1479 1519 1578 1578 1599 1604 1605 1697 1735 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 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. 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. (b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: - 1192.0 and s- 506.6.] (Round your answers to one decimal place.) Interpret the resulting interval. O 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 the true population mean lies below this interval. . O We are 99% confident that this interval does not contain the true population mean. ou may need to use the appropriate table in the Appendix of Tables to answer this question.
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
Related questions
Question
![The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.
116
182
255
418
441
462
517
739
744
789
807
865
924
984
1025
1062
1064
1165
1191
1222
1222
1252
1278
1290
1357
1369
1409
1455
1479
1519
1578
1578
1599
1604
1605
1697
1735
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 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.
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.
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.6.] (Round your answers to one decimal place.)
Interpret the resulting interval.
O 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.
O We are 99% confident that the true population mean lies below this interval.
O We are 99% confident that this interval does not contain the true population mean.
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%2Fe60ea930-85c4-4da4-80b4-509179f713bf%2Fc8fda7c9-505f-4fbc-9de2-6a6eac68b27c%2Fdlx9d4u_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
182
255
418
441
462
517
739
744
789
807
865
924
984
1025
1062
1064
1165
1191
1222
1222
1252
1278
1290
1357
1369
1409
1455
1479
1519
1578
1578
1599
1604
1605
1697
1735
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 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.
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.
(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.0 and s = 506.6.] (Round your answers to one decimal place.)
Interpret the resulting interval.
O 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.
O We are 99% confident that the true population mean lies below this interval.
O We are 99% confident that this interval does not contain the true population mean.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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