One method for straightening wire before coiling it to makea spring is called roller

Chapter 8, Problem 68

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One method for straightening wire before coiling it to makea spring is called roller straightening. The article TheEffect of Roller and Spinner Wire Straightening on CoilingPerformance and Wire Properties (Springs, 1987: 2728)reports on the tensile properties of wire. Suppose a sampleof 16 wires is selected and each is tested to determine tensilestrength (N/mm2). The resulting sample mean and standarddeviation are 2160 and 30, respectively.a. The mean tensile strength for springs made using spinnerstraightening is 2150 N/mm2. What hypotheses shouldbe tested to determine whether the mean tensile strengthfor the roller method exceeds 2150?b. Assuming that the tensile strength distribution is approximatelynormal, what test statistic would you use to testthe 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 statistic computedin part (c)?e. For a level .05 test, what conclusion would you reach?

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