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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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.

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.]
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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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