Data Products, Inc., packages and distributes a variety of personal computer-related products. A time study has been conducted for a job packaging CD-Rs for shipment to customers. The job requires a packager to place 20 disks in a plastic bag, close the bag with a twist tie, and place the filled bag into a bin, which is replaced by another worker when it is filled. The job can be broken into four basic elements. The elemental times (in minutes) were obtained from the time study for 10 job cycles shown in the following table.

a. Using an allowance factor of 16%, determine the standard time for this job.
b. Determine the number of cycles for this time study such that the company would be 95% confident that the average time from the time study is within ± 4% of the true average cycle time.

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Elemental Times 4 5 6 1 2 3 Element 10 RF 0.36 0.31 0.42 0.35 0.38 0.30 0.41 0.42 0.35 0.35 1.05 0.81 0.95 0.76 0.85 1.01 1.02 0.95 0.90 0.87 0.88 0.90 0.56 0.38 0.42 0.45 0.51 0.48 0.50 0.52 0.39 0.46 1.00 3 0.19 0.12 0.16 0.21 0.15 0.16 0.18 0.19 0.19 0.15 1.05