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 weather-proofing 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, collected from a sample of 49 troughs, are stored in Through.
a. Construct a percentage histogram and a percentage polygon.
b. Plot a cumulative percentage polygon.
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?