A computer scanner can read a bar code on a package correctly

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1. Sampling Distribution

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.

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Sample Size, n 

Number Correctly Scanned 

25

24

50

49

100

95

200

193

 

To complete this activity, use Excel to:

1. Calculate the sample proportion for each sample size. 

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

3. Calculate the probability of finding 198 correctly scanned packages, for a sample of size n=200. 

4. Submit your work Excel file.