Question

One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires
the resulting parts to be within ±0.005 inch of the length specified by the automobile company. The data in the file
comes from a sample of 100 steel parts. The measurement reported is the difference in inches between the actual
length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, 0.002, represents a steel part that is 0.002 inch shorter than the specified length.
a. Construct a percentage histogram.
b. Is the steel mill doing a good job in meeting the requirements set by the automobile company? Explain.

Steel File:

Error
-0.002
0.0005
0.0025
0.001
0.002
0.001
0.005
-0.002
0
0.001
-0.0025
-0.003
0.001
-0.0005
0
-0.003
-0.001
0.0005
0.0025
-0.0025
0.002
0.001
0.001
0.001
-0.002
-0.003
-0.0015
-0.0005
0
-0.0025
-0.003
-0.001
0.002
-0.001
0
0.003
0.0015
0
0
-0.0025
0.0005
0.001
0.0005
0.001
0.0025
0.001
0
-0.0025
-0.001
0.0035
0
-0.003
-0.002
-0.001
-0.0015
-0.0015
-0.002
0.001
-0.0025
-0.0005
-0.0015
-0.0005
-0.0015
-0.0005
-0.0005
-0.001
-0.0015
0.0025
0.001
0.0005
0
-0.002
-0.0005
0.0005
0.0005
0
-0.0005
0.002
0.001
-0.0015
-0.001
-0.001
0.0005
-0.0025
0.0025
0.002
0.0025
-0.002
0
-0.0005
-0.001
0
-0.002
0
0
0.002
-0.003
-0.0005
-0.002
-0.002