Question

An analyst has timed a metal-cutting task for 50 cycles. The average time per cycle was 12.0 minutes, and the standard deviation was 1.30 minutes for a worker with a performance rating of 135 percent. Assume an allowance of 18 percent of task time. Calculate the standard time for this task?

Answer 1

To calculate the standard time for the metal-cutting task, multiply the average time per cycle by the performance rating and add the allowance. The standard time for this task is 19.17 minutes.

Step-by-step explanation:

To calculate the standard time for the metal-cutting task, we need to consider the average time per cycle, the standard deviation, and the performance rating.

1. Calculate the average time per cycle by multiplying the average time per cycle (12.0 minutes) by the performance rating (135%): 12.0 minutes * 1.35 = 16.2 minutes.
2. Calculate the standard deviation for the task by multiplying the standard deviation (1.30 minutes) by the performance rating (135%): 1.30 minutes * 1.35 = 1.755 minutes.
3. Calculate the standard time for the task by adding the average time per cycle to the allowance (18% of the task time): 16.2 minutes + (16.2 minutes * 0.18) = 19.17 minutes.