Headability is the ability of a cylindrical piece of material tobe shaped into the head

Chapter 9, Problem 75

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Headability is the ability of a cylindrical piece of material tobe shaped into the head of a bolt, screw, or other cold-formedpart without cracking. The article New Methods forAssessing Cold Heading Quality (Wire J. Intl., Oct. 1996:6672) described the result of a headability impact testapplied to 30 specimens of aluminum killed steel and 30specimens of silicon killed steel. The sample mean headabilityrating number for the steel specimens was 6.43, and thesample mean for aluminum specimens was 7.09. Supposethat the sample standard deviations were 1.08 and 1.19,respectively. Do you agree with the articles authors that thedifference in headability ratings is significant at the 5% level(assuming that the two headability distributions are normal)?

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