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A machine produces metal rods used in an automobile suspension system. A random sample of 8 rods is selected, and the diameter is measured. The

A machine produces metal rods used in an automobile suspension system. A random sample of 8 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows : 8.24 8.25 8.20 8.23 8.21 8.26 8.26 8.28 Assume that the population is normally distributed. (a) Calculate a 95% confidence interval for the mean rod diameter. (b) It was claimed by the manufacturer that the mean rod diameter is 8.25 mm. Based on the confidence interval in part (a), do we have evidence against the claim of the manufacturer?

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