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Albert Miller,VP of Production of a Company That Produces Components α\alpha

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Albert Miller,VP of production of a company that produces components for auto braking systems is examining the diameter of a specialized electrical wire produced with newly acquired machines in a new production line.For safety reasons,it is important that the variance in the diameter doesn't exceed 0.15 inches.Albert knows that the variance of the other production lines is 0.15 and he wants to make sure the new machine also delivers products whose variance doesn't exceed the safety limit.His staff randomly selects a sample of 25 wires and find out that the standard deviation of the sample is 0.42 inches.Assume that wire diameters are normally distributed.Using α\alpha = 0.10,the appropriate decision is ________.

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Definitions:

FICA-Social Security

The portion of the Federal Insurance Contributions Act tax that funds the Social Security program, providing benefits for retirees and disabled individuals.

FICA-Medicare

A federal tax in the United States deducted from employees' paychecks to fund the Medicare program, which provides health coverage to eligible elderly and disabled individuals.

Employee Federal Income Taxes

Taxes withheld from employees' salaries by employers to pay to the federal government.

Warranty Liability

A financial obligation representing the cost a company anticipates for repairing or replacing defective products during a warranty period.

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