MAT 510 Business Statistics Week 6 Assignment Solution

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.

      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.