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Measurements of the diameters of a random sample of 205 ball bearings made by a...

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Measurements of the diameters of a random sample of 205 ball bearings made by a certain machine during one week showed a mean of 0.873 inch and a standard deviation of 0.481 inch. Find a lower bound 99% confidence limit for the mean diameter of all the ball bearings. Round your answer to 4 decimal places.

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