Question

1. 0.5/2.5 points| Provious Answers DavoreStat9 7.E.012 My Notes Ask Your Teacher The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer 116 865 182 925 256 984 1025 1062 1063 1165 1191 1222 1222 1251 419 442 461 516 739744 789 B08 1278 1291 135B 1369 1408 1456 1478 1519 1578 1578 1599 16041606 1697 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 patten. O No, the range is not large enough for the confidence interval to be reasonable. 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 e Yes, the sample size is 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. [Hnr: x = 1192.1 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 above this interval. we are 99% confident that this interval does not contain the true population me we are 99% confident that this interval contains the true population mean. o O We are 99% confident that the true population mean lies bclow this interval You may need to use the appropriate table in the Appendox of Tables to answer this question. Need Help?ReadTalk to a Tuter

Answer 1

The statistical software output for this problem is:

One sample T confidence interval:
μ : Mean of variable

99% confidence interval results:

Variable	Sample Mean	Std. Err.	DF	L. Limit	U. Limit
Data	1192.0698	77.247258	42	983.65155	1400.488

Hence,

99% confidence interval will be:

(983.7, 1400.5)