Question
A manufacturing company fabricates tight-tolerance, 0.5500-inch-diameter rocker arms for one of its products.Samples of 50 rocker arms are taken each day to be certain the
A manufacturing company fabricates tight-tolerance, 0.5500-inch-diameter rocker arms for one of its products.Samples of 50 rocker arms are taken each day to be certain the machine is still functioning properly.Today's sample yielded a mean diameter of 0.5535 inches with a standard deviation of 0.03 inches. Perform a hypothesis test at the 10% significance level that the machine remains in tolerance, and has not begun making defective rocker arms that are either too large or too small in diameter. Provide both Critical Value and p-value solutions. Should the manufacturer stop the machine and repair it, or continue?
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