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QUESTIONS A) How many of the confidence intervals of 80% calculated from the twenty samples contain the population mean, μ = 105? ANSWER ___   (b)How many of the confidence intervals of 95% calculated from the twenty samples contain the population mean, μ = 105 ANSWER ___ (c)Choose ALL the options that are true.    ___ The center of the confidence interval of 80% for Sample 1 is 104.5,because the center of a confidence interval for the population mean must be the sample mean.   ___ Since Sample 19 and Sample 20 are drawn from the same population, the center of the confidence interval of 95% for Sample 19 must be the same as the center of the confidence interval of 95% for Sample 20.   ____  For each sample, the confidence interval of 80% for the sample is included in the confidence interval of 95% For the sample.   ____ All the confidence intervals of 95% they must be equal to each other. Since they are not all the same, there must have been errors in rounding.   _____ None of the above options is true.

QUESTIONS A) How many of the confidence intervals of 80% calculated from the twenty samples contain the population mean, μ = 105? ANSWER ___   (b)How many of the confidence intervals of 95% calculated from the twenty samples contain the population mean, μ = 105 ANSWER ___ (c)Choose ALL the options that are true.    ___ The center of the confidence interval of 80% for Sample 1 is 104.5,because the center of a confidence interval for the population mean must be the sample mean.   ___ Since Sample 19 and Sample 20 are drawn from the same population, the center of the confidence interval of 95% for Sample 19 must be the same as the center of the confidence interval of 95% for Sample 20.   ____  For each sample, the confidence interval of 80% for the sample is included in the confidence interval of 95% For the sample.   ____ All the confidence intervals of 95% they must be equal to each other. Since they are not all the same, there must have been errors in rounding.   _____ None of the above options is true.

MATLAB: An Introduction with Applications
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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QUESTIONS

A) How many of the confidence intervals of 80% calculated from the twenty samples contain the population mean,
μ = 105? ANSWER ___
 
(b)How many of the confidence intervals of 95% calculated from the twenty samples contain the population mean,
μ = 105 ANSWER ___

(c)Choose ALL the options that are true. 
 
___ The center of the confidence interval of 80% for Sample 1 is 104.5,because the center of a confidence interval for the population mean must be the sample mean.
 
___ Since Sample 19 and Sample 20 are drawn from the same population, the center of the confidence interval of 95% for Sample 19 must be the same as the center of the confidence interval of 95%
for Sample 20.
 
____  For each sample, the confidence interval of 80% for the sample is included in the confidence interval of
95% For the sample.
 
____ All the confidence intervals of 95% they must be equal to each other. Since they are not all the same, there must have been errors in rounding.
 
_____ None of the above options is true.
Suppose that we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation ofo = 19.We have taken a random sample of sizen 87 of the population. This is Sample 1 of the following table. (In the table, Sample 1 is indicated by "M1", Sample 2 by "M2", and so on). As indicated in the table, the sample mean of Sample 1 isx = 104.5.It also indicates the lower limit and the upper limit of the confidence interval of the80% for the population mean using this sample, as well as the lower bound and upper bound of the confidence interval of95%. Assume that the true population mean isu = 105, indicated for the confidence intervals. Press the button "Generate samples" to simulate the taking of 19plus size random samplesno 87, from this same population. (The confidence intervals of 80% and 95%for all samples are indicated in the table and are represented graphically). Then complete parts (a) through (c) below the table. X 80% 80% 95% 95% lower upper lower upper limit limit limit limit 107.1 100.5 108.5 M1 104.5 101.9 m2 103.6 101.0 106.2 99.6 107.6 M3 106.5 103.9 109.1 102.5 110.5 M4 104.5 101.9 107.1 100.5 108.5 M5 108.3 105.7 110.9 104.3 112.3 M6 104.6 102.0 107.2 100.6 108.6 M7 105.6 103.0 108.2 101.6 109.6 80% confidence intervals 95% confidence intervals CHA
Transcribed Image Text:Suppose that we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation ofo = 19.We have taken a random sample of sizen 87 of the population. This is Sample 1 of the following table. (In the table, Sample 1 is indicated by "M1", Sample 2 by "M2", and so on). As indicated in the table, the sample mean of Sample 1 isx = 104.5.It also indicates the lower limit and the upper limit of the confidence interval of the80% for the population mean using this sample, as well as the lower bound and upper bound of the confidence interval of95%. Assume that the true population mean isu = 105, indicated for the confidence intervals. Press the button "Generate samples" to simulate the taking of 19plus size random samplesno 87, from this same population. (The confidence intervals of 80% and 95%for all samples are indicated in the table and are represented graphically). Then complete parts (a) through (c) below the table. X 80% 80% 95% 95% lower upper lower upper limit limit limit limit 107.1 100.5 108.5 M1 104.5 101.9 m2 103.6 101.0 106.2 99.6 107.6 M3 106.5 103.9 109.1 102.5 110.5 M4 104.5 101.9 107.1 100.5 108.5 M5 108.3 105.7 110.9 104.3 112.3 M6 104.6 102.0 107.2 100.6 108.6 M7 105.6 103.0 108.2 101.6 109.6 80% confidence intervals 95% confidence intervals CHA
M8 108.5 105.9 111.1 104.5 112.5 M9 106.4 103.8 109.0 102.4 110.4 M10109.8 107.2 112.4 105.8 113.8 M11106.1 103.5 108.7 102.1 110.1 M12103.4 100.8 106.0 99.4 107.4 M13101.5 98.9 104.1 97.5 105.5 M14104.1 101.5 106.7 100.1 108.1 M15101.7 99.1 104.3 97.7 105.7 99.7 107.7 M16103.7 101.1 106.3 M17106.4 103.8 109.0 102.4 110.4 M18100.4 97.8 103.0 96.4 104.4 M19105.5 102.9 108.1 101.5 109.5 M20107.3 104.7 109.9 103.3 111.3 96.0 II 114.0 96.0 114.0 (to) How many of the confidence intervals of80%calculated from thetweanyples contain the population mean,μ = 105? - /LI How many of the confidence intervals of 050/lated from that also contain the namulation mann ..—1052 X Ś
Transcribed Image Text:M8 108.5 105.9 111.1 104.5 112.5 M9 106.4 103.8 109.0 102.4 110.4 M10109.8 107.2 112.4 105.8 113.8 M11106.1 103.5 108.7 102.1 110.1 M12103.4 100.8 106.0 99.4 107.4 M13101.5 98.9 104.1 97.5 105.5 M14104.1 101.5 106.7 100.1 108.1 M15101.7 99.1 104.3 97.7 105.7 99.7 107.7 M16103.7 101.1 106.3 M17106.4 103.8 109.0 102.4 110.4 M18100.4 97.8 103.0 96.4 104.4 M19105.5 102.9 108.1 101.5 109.5 M20107.3 104.7 109.9 103.3 111.3 96.0 II 114.0 96.0 114.0 (to) How many of the confidence intervals of80%calculated from thetweanyples contain the population mean,μ = 105? - /LI How many of the confidence intervals of 050/lated from that also contain the namulation mann ..—1052 X Ś
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