An analyst has timed a metal-cutting task for 50 cycles. The average time per cycle was 10.5 minutes, and the standard deviation was 1.15 minutes for a worker with a performance rating of 122 percent. Assume an allowance of 14 percent of task time. Calculate the standard time for this task. (Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Question
An analyst has timed a metal-cutting task for 50 cycles. The average time per cycle was 10.5 minutes, and the standard deviation was 1.15 minutes for a worker with a performance rating of 122 percent. Assume an allowance of 14 percent of task time. Calculate the standard time for this task. (Do not round intermediate calculations. Round the final answer to 2 decimal places.)
Solution
To calculate the standard time for this task, you need to follow these steps:
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First, calculate the Normal Time (NT). Normal Time is the average time per cycle divided by the worker's performance rating. The performance rating should be expressed as a decimal, so 122 percent becomes 1.22.
NT = Average Time per Cycle / Performance Rating NT = 10.5 minutes / 1.22 = 8.61 minutes
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Next, calculate the Allowance Time (AT). This is the percentage of the task time that is allowed for rest and delays. Again, the allowance percentage should be expressed as a decimal, so 14 percent becomes 0.14.
AT = Normal Time * Allowance Percentage AT = 8.61 minutes * 0.14 = 1.21 minutes
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Finally, add the Normal Time and the Allowance Time to get the Standard Time (ST).
ST = Normal Time + Allowance Time ST = 8.61 minutes + 1.21 minutes = 9.82 minutes
So, the standard time for this task is 9.82 minutes.
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