An analyst has timed a metal-cutting task for 50 cycles. The average time per cycle was 11.9 minutes, and the standard deviation was 1.32 minutes for a worker with a performance rating of 130 percent. Assume an allowance of 17 percent of task time. Calculate the standard time for this task. (Do not round intermediate calculations. Round the final answer to 2 decimal places.)

To calculate the standard time for this task, we need to follow these steps:

1. First, we need to calculate the Normal Time (NT). Normal Time is the average time per cycle multiplied by the performance rating. The performance rating needs to be in decimal form, so 130 percent is 1.3.

   NT = Average time per cycle * Performance rating NT = 11.9 minutes * 1.3 NT = 15.47 minutes

2. Next, we calculate the Allowance Time (AT). This is the Normal Time multiplied by the allowance percentage (in decimal form).

   AT = Normal Time * Allowance percentage AT = 15.47 minutes * 0.17 AT = 2.63 minutes

3. Finally, we add the Normal Time and the Allowance Time to get the Standard Time (ST).

   ST = NT + AT ST = 15.47 minutes + 2.63 minutes ST = 18.10 minutes

So, the standard time for this task is 18.10 minutes.

To calculate the standard time for this task, we need to follow these steps:

1. First, we need to calculate the Normal Time (NT). Normal Time is the average time per cycle divided by the worker's performance rating. The performance rating is expressed as a decimal, so 130 percent is 1.3.

   NT = Average Time per Cycle / Performance Rating NT = 11.9 minutes / 1.3 NT = 9.15 minutes

2. Next, we calculate the Allowance Time (AT). This is the Normal Time multiplied by the allowance percentage (expressed as a decimal).

   AT = Normal Time * Allowance Percentage AT = 9.15 minutes * 0.17 AT = 1.56 minutes

3. Finally, we add the Normal Time and the Allowance Time to get the Standard Time (ST).

   ST = Normal Time + Allowance Time ST = 9.15 minutes + 1.56 minutes ST = 10.71 minutes

So, the standard time for this task is 10.71 minutes.