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4. A quality-control inspector randomly records a certain measurement of the characteristics of brass rivets that are taken from a conveyor belt during a production

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4. A quality-control inspector randomly records a certain measurement of the characteristics of brass rivets that are taken from a conveyor belt during a production process. Rivets that have measurements that fall outside of the range 23.5 to 24.5 that are considered to be nonconforming (defective). A sample of 50 measurements is taken from brass rivets coming off the conveyor belt and the measurement are given below. 23.7 23.6 23.9 24.1 23.7 23.5 24.0 24.7 24.2 23.6 23.2) 23.9 24.5 23.6 23.8 24.2 24.1 24.0 23.7 24.1 23.6 23.7 23.7 24.6 24.0 24.2 24.3 23.5 24.1 23.9 24.1 24.3 23.8 24.1 23.6 24.0 24.4 23.6 24.1 24.4 23.4 24.0 23.3 24.0 24.1 23.5 23.3 23.8 23.7 23.5 a. What is the random variable here? b. Construct a 92.5% confidence interval on the true proportion of the nonconforming brass rivets from the production process. c. Provide a statistical interpretation of this interval

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