A Lathe Is Set to Cut Bars of Steel into Lengths

question 36

Essay

A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters.
a.Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
b.Compute the test statistic.
c.Using the p-value approach, what is your conclusion? Let $\alpha$ = .05.

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Definitions:

Direct Labor

The wages and other compensation paid to employees who are directly involved in the production of goods and services.

Special Order

A customer request for a product or service that is not normally offered by the business, often requiring unique production or procurement efforts.

Selling Price

The amount of money charged for a product or service, or the sum of the cost plus profit.

Variable Costs

Expenses that change in proportion to the production output or sales amount.