Another cold rolling machine, Machine L, was recently calibrated so that the mean length produced (\( \mu \)) is 38.1 mm, and the standard deviation of the length (\( \sigma \)) is 1 mm.

The question discusses statistics principles related to the mean and standard deviation. Machine L produces lengths with a mean of 38.1 mm and a standard deviation of 1 mm, defining the consistency and precision of its production.

Explanation:

The question pertains to the field of statistics, specifically focusing on the concept of standard deviation and mean. In this context, Machine L has been presented as a cold rolling machine. After calibration, the average length that this machine can produce (mean) is 38.1 mm. On average, the length can deviate from this mean value by about 1 mm, which is referred to as the standard deviation.

This information can be used to understand the consistency and precision of Machine L in producing lengths. If the standard deviation were larger, lengths produced by the machine would be less consistently close to the mean of 38.1 mm. Conversely, a smaller standard deviation would indicate that the lengths produced are consistently close to the mean value.

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