One method for straightening wire before coiling it tomake

Chapter 8, Problem 60

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One method for straightening wire before coiling it tomake a spring is called roller straightening. The articleThe Effect of Roller and Spinner Wire Straighteningon Coiling Performance and Wire Properties(Springs, 1987: 2728) reports on the tensile propertiesof wire. Suppose a sample of 16 wires is selected andeach is tested to determine tensile strength (N/mm2). Theresulting sample mean and standard deviation are 2160and 30, respectively.a. The mean tensile strength for springs made usingspinner straightening is 2150 N/mm2. What hypothesesshould be tested to determine whether the meantensile strength for the roller method exceeds 2150?b. Assuming that the tensile strength distribution isapproximately normal, what test statistic would youuse to test the hypotheses in part (a)?c. What is the value of the test statistic for this data?d. What is the P-value for the value of the test statisticcomputed in part (c)?e. For a level .05 test, what conclusion would you reach?

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