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 file Trough contains the widths of the troughs, in inches, for a sample of n = 49.
What is the p-value calculated from the sampled data?
Answer:
Solution: (a) HO: Population mean = &46 Hi: Population mean is not equal to &46
The test statistic (t) is given by the following expression – T — t _ s/ VT-t We have calculated the sample mean (&421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be –
t = (&421 -…