The analyst in the Dorben Reference Library decides to use the work sampling technique to establish standards. Twenty employees are involved. The operations include cataloging, charging books out, returning books to their proper location, cleaning books, record keeping, packing books for shipment, and handling correspondence. A preliminary investigation resulted in the estimate that 30 percent of the time of the group was spent in cataloging. How many work sampling observations would be made if it were desirable to be 95 percent confident that the observed data were within a tolerance of ±10 percent of the population data? Describe how the random observations should be made.
The following table illustrates some of the data gathered from 6 of the 20 employees. The number of volumes cataloged equals 14,612. From this data, determine a standard in hours per hundred for cataloging. Then design a control chart based on three-sigma limits for the daily observations.
Operators
Item Smith Apple Brown Green Baird Thomas
Total hours worked 78 80 80 65 72 75
Total observations (All elements) 152 170 181 114 143 158
Observations involving cataloging 50 55 48 29 40 45
Average rating 90 95 105 85 90 100