The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer.256 419442983 1025 10621357 1369 14091735 1799462106414561815116181865127792412911603 1605 169751611661478185274478912221222739119215191899 1926 196615781578(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.80712521599(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.

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.

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...