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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Character recognition An automatic character recognition device can successfully read 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, shown here. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions. Be sure to talk about shape, center, and spread.

Samples of Size 20
Samples of Size 50
300
300
200
100
200
100-
0.5
1.0
0.65
1.00
Sample Proportions
Sample Proportions
Samples of Size 75
Samples of Size 100
250
200 ך
3 200
150
150 -
Z 50
E 50
1.00
0.75 0.85 0.95
Sample Proportions
0.65
Sample Proportions

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