Answered: Samples of Size 20 Samples of Size 50…

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

Character recognition An automatic character recogni-
tion device can successfully read about 85% of hand-
written 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, shown here.
Explain how these four histograms demonstrate what the

Central Limit Theorem says about the sampling distribu-
tion model for sample proportions. Be sure to talk about

shape, center, and spread.

Samples of Size 20
Samples of Size 50
400
300
300
200
200
100
100
0.5
1.0
0.65
1.00
Sample Proportions
Sample Proportions
Samples of Size 75
Samples of Size 100
250
6.
200
200
150
150
100
100
50
50
0.65
Sample Proportions
1.00
0.75
0.85
0.95
Sample Proportions
Number of Samples
Number of Samples
Number of Samples
Number of Samples

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