A manufacturing company produces steel housings for

A manufacturing company produces steel housings for
electrical equipment. The main component part of the housing
is a steel trough that is made out of a 14-gauge steel coil.
It is produced using a 250-ton progressive punch press with a
wipe-down operation that puts two 90-degree forms in the flat
steel to make the trough. The distance from one side of the
form to the other is critical because of weatherproofing in
outdoor applications. The company requires that the width of
the trough be between 8.31 inches and 8.61 inches. The
widths of the troughs, in inches, are collected from a sample
of 49 troughs and stored in Trough and shown here:
8.312 8.343 8.317 8.383 8.348 8.410 8.351 8.373
8.481 8.422 8.476 8.382 8.484 8.403 8.414 8.419
8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414
8.481 8.415 8.479 8.429 8.458 8.462 8.460 8.444
8.429 8.460 8.412 8.420 8.410 8.405 8.323 8.420
8.396 8.447 8.405 8.439 8.411 8.427 8.420 8.498
8.409
a. Construct a frequency distribution and a percentage
distribution.
b. Construct a cumulative percentage distribution.
c. What can you conclude about the number of troughs that
will meet the company’s requirements of troughs being
between 8.31 and 8.61 inches wide? 

 
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