A computer scanner can read a bar code on a package correctly 97% of the time. One company monitors the accuracy of the scanner by randomly sampling packages and verifying that each package has been correctly scanned. Random samples of size n = 25, 50, 100, and 200 have recently been taken with the following results:

Sample Size, n Number Correctly Scanned 25 24 50 49 100 95 200 193

a. For each sample size, calculate the sample proportion.

b. For each sample size, what are the mean and standard deviation of the sampling distribution?

c. Calculate the single-proportion sampling error for each sample size.

d. For a sample of size n = 200, what is the probability of finding 198 correctly scanned packages?