Robots are being used with increasing frequency on production lines to perform monotonous tasks. To determine whether a robot welder should replace human welders in producing automobiles, an experiment was performed. The time for the robot to complete a series of welds was found to be 38 seconds. A random sample of 20 workers was taken, and the time for each worker to complete the welds was measured. The mean was calculated to be 38 seconds, the same as the robot’s time. However, the robot’s time did not vary, whereas there was variation among the workers’ times. An analysis of the production line revealed that if the variance exceeds 17 seconds2, there will be problems. Perform an analysis of the data, and determine whether problems using human welders are likely.
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