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. (b) Press the "Generate Samples" button below to simulate taking samples.19plus size samplesno 95of the population. Note that the confidence intervalsfor these samples are drawn automatically. Then complete parts (c) and (d) below the table.80% 80% 95% 95%Xlower upperlimit limitlower upperlimit limit??M1 141.3 ?m2 139.0 136.0?142.0 134.4144.7143.6M3 141.7 138.7137.1 146.3M4 143.7 140.7146.7 139.1 148.3M5 141.5 138.5144.5 136.9 146.1M6 141.5 138.5 144.5 136.9 146.1M7 139.9 136.9142.9 135.3 144.5M8 136.3 133.3139.3 131.7 140.9M9 142.0 139.0145.0 137.4 146.6M10138.5 135.5 141.5 133.9 143.1M11145.2 142.2 148.2140.6149.8M12140.2 137.2 143.2 135.6 144.880% confidence intervals95% confidence intervalsAnt M13141.2 138.2 144.2 136.6 145.8M14136.4 133.4 139.4 131.8 141.0M15140.9 137.9 143.9 136.3 145.5139.1 148.3M16143.7 140.7 146.7M17139.6 136.6 142.6135.0 144.2M18136.3 133.3 139.3 131.7 140.9M19141.8 138.8 144.8 137.2 146.4M20139.7 136.7142.7135.1144.3|+++correct statement.128.0H150.0 128.0+H150.019(c) Observe that for-=95%of the samples, the confidence interval of95%contains the population mean. Choose thetwentyWhen calculating confidence intervals of95%fortweatyples of equal size from the population, it is possible that moreor less than95%of the samples contain the population mean.When calculating confidence intervals of95%fortweatyples of equal size from the population, exactly the95% of thesamples will contain the population mean.When calculating confidence intervals of95%fortwsatyples of equal size from the population, at most95% of thesamples will contain the population mean.

Sample mean80% Lower limit80% Upper limit95% Lower limit95% Upper…

Answered: ANSWER C AND D (d)Choose ALL the…

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

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.

(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

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.

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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