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In casting metal parts, molten metal flows through a "gate" into a die that shapes...

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In casting metal parts, molten metal flows through a "gate" into a die that shapes the part. The gate velocity (the speed at which metal is forced through the gate) plays a critical role in die casting. A firm that casts cylindrical aluminum pistons examined 12 types formed from the same alloy. How does the piston wall thickness (inches) influence the gate velocity (feet per second) chosen by the skilled workers who do the casting? If there is a clear pattern, it can be used to direct new workers or to automate the process. Data for the gate velocity and piston thickness were collected for a sample of 12 observations. Regression Analysis: Veloe versus Thick The Minitab regression output leaves out the t statistics and their P-values. Based on the information in the output, test the hypothesis that there is no straight-line relationship between thickness and gate velocity. Peter H. Chen, Nefialh Heriens, and Darren Christiansen, "Relationships between gate velocity asd casting features among aluminum round castingh," ao dele. Provided by Darren Chriatiansea. State the test statistic t, Provide your answer to three decimal places. t=

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