An automatic character recognition device successfully reads about 84% 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=0.84 and constructed the histogram of the 1000 sample proportions. Explain what these histograms say about the sampling distribution model for sample proportions.

What is the shape, center, and spread of the sampling distribution for samples of size 20?

Choose one correct answer from each bracket !!

The shape of the sampling distribution is ( skewed left, skewed right, approximately Normal) The sampling distribution is centered between ( 0.8 and 0.9 , 0.7 and 0.8 , 0.6 and 0.7 , 0.9 and 1 ). The sampling distribution has a ( wide (range 0.50) , narrow (range < 0.10) , relatively narrow (0.25 > range 0.10) , relatively wide (0.50 > range 0.25) spread.