ANSWER C AND D (d)Choose ALL the options that are true. ___ The confidence interval of 80% for sample 13 is narrower than the confidence interval of 95% for sample 13. This is a coincidence; When calculating a confidence interval for a sample, there is no relationship between the confidence level and the width of the interval. ___ From the confidence interval of 80% for sample 13, we cannot say that there is a 80% probability that the population mean is between 138.2 and 144.2 . ___ If there were a Sample 21 of size n σ 190 taken from the same population as Sample 13, then the confidence interval of 95% for Sample 21 would be wider than the confidence interval of 95% for Sample 13. ___ The confidence interval of 95% for sample 13 does not indicate that the 95% of the data values of sample 13 are between 136.6 and 145.8 . ___ None of the above options is true.
ANSWER C AND D (d)Choose ALL the options that are true. ___ The confidence interval of 80% for sample 13 is narrower than the confidence interval of 95% for sample 13. This is a coincidence; When calculating a confidence interval for a sample, there is no relationship between the confidence level and the width of the interval. ___ From the confidence interval of 80% for sample 13, we cannot say that there is a 80% probability that the population mean is between 138.2 and 144.2 . ___ If there were a Sample 21 of size n σ 190 taken from the same population as Sample 13, then the confidence interval of 95% for Sample 21 would be wider than the confidence interval of 95% for Sample 13. ___ The confidence interval of 95% for sample 13 does not indicate that the 95% of the data values of sample 13 are between 136.6 and 145.8 . ___ None of the above options is true.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
ANSWER C AND D
(d)Choose ALL the options that are true.
___ The confidence interval of 80% for sample 13 is narrower than the confidence interval of 95%
for sample 13. This is a coincidence; When calculating a confidence interval for a sample, there is no relationship between the confidence level and the width of the interval.
for sample 13. This is a coincidence; When calculating a confidence interval for a sample, there is no relationship between the confidence level and the width of the interval.
.
___ If there were a Sample 21 of size n σ 190 taken from the same population as Sample 13, then the confidence interval of 95% for Sample 21 would be wider than the confidence interval of 95%
for Sample 13.
for Sample 13.
.
Transcribed Image Text:(b) Press the "Generate Samples" button below to simulate taking samples.19plus size samplesno 95of the population. Note that the confidence intervals
for these samples are drawn automatically. Then complete parts (c) and (d) below the table.
80% 80% 95% 95%
X
lower upper
limit limit
lower upper
limit limit
?
?
M1 141.3 ?
m2 139.0 136.0
?
142.0 134.4
144.7
143.6
M3 141.7 138.7
137.1 146.3
M4 143.7 140.7
146.7 139.1 148.3
M5 141.5 138.5
144.5 136.9 146.1
M6 141.5 138.5 144.5 136.9 146.1
M7 139.9 136.9
142.9 135.3 144.5
M8 136.3 133.3
139.3 131.7 140.9
M9 142.0 139.0
145.0 137.4 146.6
M10138.5 135.5 141.5 133.9 143.1
M11145.2 142.2 148.2
140.6
149.8
M12140.2 137.2 143.2 135.6 144.8
80% confidence intervals
95% confidence intervals
Ant
Transcribed Image Text:M13141.2 138.2 144.2 136.6 145.8
M14136.4 133.4 139.4 131.8 141.0
M15140.9 137.9 143.9 136.3 145.5
139.1 148.3
M16143.7 140.7 146.7
M17139.6 136.6 142.6
135.0 144.2
M18136.3 133.3 139.3 131.7 140.9
M19141.8 138.8 144.8 137.2 146.4
M20139.7 136.7
142.7
135.1
144.3
|+++
correct statement.
128.0
H
150.0 128.0
+H
150.0
19
(c) Observe that for-
=95%of the samples, the confidence interval of95%contains the population mean. Choose the
twenty
When calculating confidence intervals of95%fortweatyples of equal size from the population, it is possible that more
or less than95%of the samples contain the population mean.
When calculating confidence intervals of95%fortweatyples of equal size from the population, exactly the95% of the
samples will contain the population mean.
When calculating confidence intervals of95%fortwsatyples of equal size from the population, at most95% of the
samples will contain the population mean.
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