The following observations are lifetimes (days) subsequent to diagnosis for indi
ID: 3359079 • Letter: T
Question
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer 418 1026 441 1062 182 462 1064 1277 1291 1357 1369 1409 1456 1478 1519 1578 1578 1599 516 739 1165 1191 789 1222 1222 1251 808 115 865 255 983 743 924 1603 1606 1697 17361799 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 range is sufficiently large enough for the confidence interval to be reasonable No, we need to assume that the population is normally distributed 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 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 = 1191.9 and s = 506.7.] (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 contains the true population mean. 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 meanExplanation / Answer
The statistical software output for this problem is:
One sample T summary confidence interval:
: Mean of population
99% confidence interval results:
Hence,
a) Option C is correct.
b) 99% confidence interval: (983.4, 1400.4)
c) Option B is correct.
Mean Sample Mean Std. Err. DF L. Limit U. Limit 1191.9 77.271026 42 983.41766 1400.3823Related Questions
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