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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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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.

 

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Transcribed Image Text: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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