Question

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 t-statistic calculated from the sampled data?

Answer 1

The t-statistics that will ba calculated from the data about the steel housing will be -5.936.

How to calculate t-statistic?

From the information given, the component part of the housing is a steel trough that is made out of a 14-gauge steel coil.

From the complete question that has the data, the t-statistic will be calculated thus:

u = 8.46

x bar = 8.422

s = 0.04

n = 49

Therefore, the t-statistics will be:

= (8.421 - 8.46) / (0.046 / ✓49)

= -5.936

In conclusion, the t-statistics is -5.936.

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