The following observations are lifetimes (days) subsequent to diagnosis for indi
ID: 3340225 • Letter: T
Question
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. 461 181 924 419 744 789 256 983 10251063 1063 1166 1192 1222 1222 1251 441 517 115 865 739 808 12781291 1357 1369 1408 14551478 1519 1578 1578 1599 1604 1605 1696 1735 17991815 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.] O No, the range 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 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. O No, the sample size 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:19 ands s06.6.) (Round your answers to one decimal place.)Explanation / Answer
Ans:
sample size,n=43
a)Yes,sample size is large enough(n>=30) for the confidence interval to be large enough.
b)z value for 99% CI is 2.58
99% Confidence interval for true average lifetime
=1191.9+/-2.58*(506.6/sqrt(43)
=1191.9+/-199.3
=(992.6, 1391.2)
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