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 fileTroughcontains the widths of the troughs, in inches, for a sample of n = 49.

Which of the following are the null (H0) and alternate (H1) hypothesis if we are to say that the mean of the troughs is different from 8.46 inches?

What is the t-statistic calculated from the sampled data?

What is the p-value calculated from the sampled data?

We should accept the null hypothesis.?