MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
You have taken a random sample of size 18 from a normal population
that has a population mean of -10 and a population standard deviation
of -3. Your sample, which is Sample 1 in the table below, has a mean of
7-s. (In the table, Sample 1 is written "S1", Sample 2 is written "S2",
etc.)
8
(4) Based on Sample 1, graph the 80% and 95% confidence intervals for
the population mean. Use 122 for the critical value for the 80%
confidence interval, and use 1.960 for the critical value for the
confidence interval. (If necessary, consult a list of formulas
• Enter the lower and upper limits on the graphs to show each
confidence interval. Write your answers with one decimal
place.
• For the points (and), enter the population mean, μ-100.
STA
970
970
80% confidence interval
COM
100
95% confidence interval
80% 80% 95% 95%
lower upper lower upper
Smit limit limit limit
101.3 9.0 1018
101 3 990 1018
100.5 98.2 1010
1004 981 1009
100.7 98.4 101.2
100.5 98.2 100.0
100.7
100.7 984 1012
1012 98.9 101.7
$2 100.4 99.5
$3 104 995
54 996 98.7
ss 99.5 986
56 993 98.9
57 996 98.7
se 993 96.9
SP 100.3 994
$10 996 98.7
100.5 58.2 101.0
511 101.2 100.3 102.1 99.8 102.6
$12 996 98.7 100.5
100.5 98.2 1010
101.5 99.2
101.5 99.2 1020
101.2 98.9 101.7
$13 100.6 99.7
814 100.3 994
$15 996 98.7
$16 101.1 100.2
98.7
100.5
1005 98.2 100.0
1020 99.7 102.5
$17 104 995 101.399.0 101.8
$18 99.7 98.8 100.6 98.3 101.1
$19 993 98.9 100.7 98.4 1012
$20 100.6 99.7 101.5 99.2 102.0
THE
LE
1040
5
DOL
(b)Press the "Generate Samples" button below to simulate taking 19
more samples of size -18 from the population. Notice that the
confidence intervals for these samples are drawn automatically.
Then complete parts (c) and (d) below the table.
-
1040
83% confidence intervals
H
F
F
H
F
HH
H
H
H
H
H
1040 97.0
(4) Notice that for-100% of the samples, the 95%
confidence interval contains the population mean.
Choose the correct statement.
When constructing 95% confidence intervals for 20
samples of the same size from the population, at
least 95% of the samples will contain the population
mean.
When constructing 95% confidence intervals for 20
samples of the same size from the population,
exactly 95% of the samples must contain the
population mean. There must have been an error
with the way our samples were chosen.
When constructing 95% confidence intervals for 20
samples of the same size from the population, the
percentage of the samples that contain the
population mean should be close to 95%, but it may
not be exactly 5%
(d) Choose ALL that are true.
0 The 95% confidence interval for Sample 13 indicates
that 95% of the Sample 13 data values are between
99.2 and 102.0
The se confidence interval for Sample 13 is
narrower than the 95% confidence interval for
Sample 13. This is coincidence; when constructing a
camole
confidence interval for a sample, there is no
relationship between the level of confidence and the
width of the interval.
From the 80% confidence interval for Sample 13, we
cannot say that there is an se% probability that the
population mean is between 99.7 and 101.3.
If there were a Sample 21 of size -36 taken from
the same population as Sample 13, then the 95%
confidence interval for Sample 21 would be wider
than the 95% confidence interval for Sample 13.
None of the choices above are true.
95% confidence intervals
H
F
H
H
H
H
HH
H
H
L
H
H
H
H
H
HH
H
H
H
++++
5
1040
expand button
Transcribed Image Text:You have taken a random sample of size 18 from a normal population that has a population mean of -10 and a population standard deviation of -3. Your sample, which is Sample 1 in the table below, has a mean of 7-s. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) 8 (4) Based on Sample 1, graph the 80% and 95% confidence intervals for the population mean. Use 122 for the critical value for the 80% confidence interval, and use 1.960 for the critical value for the confidence interval. (If necessary, consult a list of formulas • Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with one decimal place. • For the points (and), enter the population mean, μ-100. STA 970 970 80% confidence interval COM 100 95% confidence interval 80% 80% 95% 95% lower upper lower upper Smit limit limit limit 101.3 9.0 1018 101 3 990 1018 100.5 98.2 1010 1004 981 1009 100.7 98.4 101.2 100.5 98.2 100.0 100.7 100.7 984 1012 1012 98.9 101.7 $2 100.4 99.5 $3 104 995 54 996 98.7 ss 99.5 986 56 993 98.9 57 996 98.7 se 993 96.9 SP 100.3 994 $10 996 98.7 100.5 58.2 101.0 511 101.2 100.3 102.1 99.8 102.6 $12 996 98.7 100.5 100.5 98.2 1010 101.5 99.2 101.5 99.2 1020 101.2 98.9 101.7 $13 100.6 99.7 814 100.3 994 $15 996 98.7 $16 101.1 100.2 98.7 100.5 1005 98.2 100.0 1020 99.7 102.5 $17 104 995 101.399.0 101.8 $18 99.7 98.8 100.6 98.3 101.1 $19 993 98.9 100.7 98.4 1012 $20 100.6 99.7 101.5 99.2 102.0 THE LE 1040 5 DOL (b)Press the "Generate Samples" button below to simulate taking 19 more samples of size -18 from the population. Notice that the confidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table. - 1040 83% confidence intervals H F F H F HH H H H H H 1040 97.0 (4) Notice that for-100% of the samples, the 95% confidence interval contains the population mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples of the same size from the population, at least 95% of the samples will contain the population mean. When constructing 95% confidence intervals for 20 samples of the same size from the population, exactly 95% of the samples must contain the population mean. There must have been an error with the way our samples were chosen. When constructing 95% confidence intervals for 20 samples of the same size from the population, the percentage of the samples that contain the population mean should be close to 95%, but it may not be exactly 5% (d) Choose ALL that are true. 0 The 95% confidence interval for Sample 13 indicates that 95% of the Sample 13 data values are between 99.2 and 102.0 The se confidence interval for Sample 13 is narrower than the 95% confidence interval for Sample 13. This is coincidence; when constructing a camole confidence interval for a sample, there is no relationship between the level of confidence and the width of the interval. From the 80% confidence interval for Sample 13, we cannot say that there is an se% probability that the population mean is between 99.7 and 101.3. If there were a Sample 21 of size -36 taken from the same population as Sample 13, then the 95% confidence interval for Sample 21 would be wider than the 95% confidence interval for Sample 13. None of the choices above are true. 95% confidence intervals H F H H H H HH H H L H H H H H HH H H H ++++ 5 1040
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman