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Suppose a nominally 10-gram reference weight is measured (by a bureau of weights and standards) 500 times. Assume only measurement error occurs, that the measurements

  1. Suppose a nominally 10-gram reference weight is measured (by a bureau of weights and standards) 500 times. Assume only measurement error occurs, that the measurements are independent, and that the same procedure is used each time. From this work, suppose an approximate 95% confidence interval for the actual mass, in grams, is computed to be (9.999843, 9.999897). Of the following, what is/are a correct interpretation(s) of the approximate 95% level of confidence in this context? In each statement, the 95% is understood to be approximate. Select one or more. The reference weight weighs between 9.999843 and 9.999897 grams 95% of the time. Measurements (under the same conditions) of the weight of this reference weight will be less than 10 grams 95% of the time. The reference weight weighs less than 10 grams 95% of the time. The method used to set up the interval (9.999843, 9.999897) is a method that captures the actual weight of the reference weight 95% of the time. Measurements (under the same conditions) of the weight of this reference weight will be between 9.999843 and 9.999897 grams 95% of the time.

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