Question.3 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 putting 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 8.31mm and 8.61mm. The following are the widths of the trough in mm's for a sample on n = 49. 8.312 8.434 8.383 8.348 8.410 8.351 8.373 8.373 8.481 8.422 8.476 8.382 8.484 8.403 8.141 8.419 8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414 8.484 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 8.392 8.447 8.805 8.439 8.411 8.427 8.420 8.498 8.409 a) Construct the frequency distribution and the percentage distribution b) Plot a histogram and percentage polygon (2) (2) c) Plot the cumulative percentage polygon (2) d) What can you conclude about the number of troughs that will meet the company's requirements of between 8.31 and 8.64 mm wide? (4) [10]
Question.3 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 putting 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 8.31mm and 8.61mm. The following are the widths of the trough in mm's for a sample on n = 49. 8.312 8.434 8.383 8.348 8.410 8.351 8.373 8.373 8.481 8.422 8.476 8.382 8.484 8.403 8.141 8.419 8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414 8.484 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 8.392 8.447 8.805 8.439 8.411 8.427 8.420 8.498 8.409 a) Construct the frequency distribution and the percentage distribution b) Plot a histogram and percentage polygon (2) (2) c) Plot the cumulative percentage polygon (2) d) What can you conclude about the number of troughs that will meet the company's requirements of between 8.31 and 8.64 mm wide? (4) [10]
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![Question.3
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
putting 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 8.31mm and 8.61mm. The
following are the widths of the trough in mm's for a sample on n = 49.
8.312
8.434
8.383
8.348
8.410
8.351
8.373
8.373
8.481
8.422
8.476
8.382
8.484
8.403
8.141
8.419
8.385
8.465
8.498
8.447
8.436
8.413
8.489
8.414
8.484
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
8.392
8.447
8.805
8.439
8.411
8.427
8.420
8.498
8.409
a) Construct the frequency distribution and the percentage distribution
b) Plot a histogram and percentage polygon
(2)
(2)
c) Plot the cumulative percentage polygon
(2)
d) What can you conclude about the number of troughs that will meet the company's
requirements of between 8.31 and 8.64 mm wide?
(4)
[10]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F479c81af-9c35-4ee2-b8da-6253c03caa0c%2F26307c54-3675-41da-9d1d-8aed53db949a%2Fxh54sxg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question.3
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
putting 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 8.31mm and 8.61mm. The
following are the widths of the trough in mm's for a sample on n = 49.
8.312
8.434
8.383
8.348
8.410
8.351
8.373
8.373
8.481
8.422
8.476
8.382
8.484
8.403
8.141
8.419
8.385
8.465
8.498
8.447
8.436
8.413
8.489
8.414
8.484
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
8.392
8.447
8.805
8.439
8.411
8.427
8.420
8.498
8.409
a) Construct the frequency distribution and the percentage distribution
b) Plot a histogram and percentage polygon
(2)
(2)
c) Plot the cumulative percentage polygon
(2)
d) What can you conclude about the number of troughs that will meet the company's
requirements of between 8.31 and 8.64 mm wide?
(4)
[10]
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