Cooper Manufacturing, Inc., of Dallas, Texas, has a contract with the U.S. Air Force to produce a part for a new fighter plane being manufactured. The part is a bolt that has specifications requiring that the length be normally distributed with a mean of 3.05 inches and a standard deviation of 0.015 inch. As part of the company€™s quality-control efforts, each day Cooper€™s engineers select a random sample of 100 bolts produced that day and carefully measure the bolts to determine whether the production is within specifications. The following data were collected yesterday:

Based on these sample data, what should Cooper€™s engineers conclude about the production output if they test using an α = 0.01? Discuss.

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Length (inches) Under 3.030 3.030 and under 3.035 3.035 and under 3.040 3.040 and under 3.050 3.050 and under 3.060 3.060 and under 3.065 3.065 and over Frequency 16 20 36