a) Looking at the histograms, what is the smallest sample size you would be comfortable using the Normal model as an approximation for the sampling distribution?
a) Looking at the histograms, what is the smallest sample size you would be comfortable using the Normal model as an approximation for the sampling distribution?
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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Transcribed Image Text:=
An automatic character recognition device successfully reads
about 85% of handwritten credit card applications. To estimate
what might happen when this device reads a stack of
applications, the company did a simulation using samples of size
20, 50, 75, and 100. For each sample size, they simulated 1000
samples with success rate p = 0.85 and constructed the
histogram of the 1000 sample proportions. The histograms,
sample statistics, and theoretical values are shown in the
accompanying tables. Complete parts a and b below.
Click the icon to view the sample statistics and theoretical
values.
Click the icon to view the histograms.
a) Looking at the histograms, what is the smallest sample size
you would be comfortable using the Normal model as an
approximation for the sampling distribution?
A. The Normal model would be reasonable to use for a
sample size of at least 100.
B. The Normal model would be reasonable to use for a
sample size of at least 50.
OC. The Normal model would be reasonable to use for a
sample size of at least 20.
D. The Normal model would be reasonable to use for a
sample size of at least 75.
b) What does the Success/Failure Condition say about what
sample size should be used?
A. The Success/Failure Condition is satisfied for sample
sizes of at least 20.
B. The Success/Failure Condition is satisfied for sample
sizes of at least 75.
OC. The Success/Failure Condition is satisfied for sample
sizes of at least 100.
O D. The Success/Failure Condition is satisfied for sample
sizes of at least 50.
Transcribed Image Text:mpted
Sample Statistics and Theoretical Values
estion 6
estion 7
estion 8
estion 9
estion 1
estion 11
estion 11
n
20
50
75
100
# of Samples
Observed
Mean
0.8465
0.8405
0.8402
0.8487
Histograms
# of Samples
Samples of size 20
400-
300-
200-
100-
0-
0.5
Print
100-
50-
Samples of size 75
250
200-
150-
0+
0.65
Theoretical
Mean
Sample Proportions
1.0
1.0
Sample Proportions
0.85
0.85
0.85
0.85
Q
O
Done
The Nomar mouer would be Teasonable to use for a
Observed
st.dev.
0.1005
0.0616
0.0541
0.0654
# of Samples
# of Samples
Samples of size 50
400-
300-
200-
100-
0-
0.65
Theoretical
st.dev.
0.0798
0.0505
0.0412
0.0357
200-
150-
100-
50-
Samples of size 100
250-
Sample Proportions
0-
0.7
1.0
0.9
Sample Proportions
- X
ra
ra
ra
hat
hple
hple
hple
hple
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