9.32 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 pro- duced 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 file Trough contains the widths of the troughs, in inches, for a sample of n = = 49:
9.32 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 pro- duced 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 file Trough contains the widths of the troughs, in inches, for a sample of n = = 49:
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Transcribed Image Text:9.32 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 pro-
duced 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 file Trough contains the widths
of the troughs, in inches, for a sample of n = 49:
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. At the 0.05 level of significance, is there evidence that the mean
width of the troughs is different from 8.46 inches?
b. What assumption about the population distribution is needed in
order to conduct the t test in (a)?
c. Evaluate the assumption made in (b).
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