The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.11618125541944246251773974478980886592598310261063106411661191122212221251127812911357136914081456147915191578157815991604160616971736179918151852189919261966 (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.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, we need to assume that the population is normally distributed.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 = 1192.1 and s = 506.6.] (Round your answers to one decimal place.) , Interpret the resulting 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. We are 99% confident that the true population mean lies below this interval.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. The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.11618125541944246251773974478980886592598310261063106411661191122212221251127812911357136914081456147915191578157815991604160616971736179918151852189919261966(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 dataexhibits 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, 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.(b) Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint: x = 1192.1 and s = 506.6.] (Round your answers to one decimal place.)Interpret the resulting interval.O 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.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.

Given Data : Sample Size, n = 43 Sample Mean, x̄ = 1192.1 standard…

Answered: The following observations are…

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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Related questions

Question

The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.

116	181	255	419	442	462	517	739	744	789	808
865	925	983	1026	1063	1064	1166	1191	1222	1222	1251
1278	1291	1357	1369	1408	1456	1479	1519	1578	1578	1599
1604	1606	1697	1736	1799	1815	1852	1899	1926	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.]

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.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.

(b)

Calculate and interpret a confidence interval with a 99% confidence level for true average lifetime. [Hint:

x = 1192.1

and

s = 506.6.]

(Round your answers to one decimal place.)

Interpret the resulting 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. We are 99% confident that the true population mean lies below this interval.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.