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A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts...

A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the mass of the boxes, a few were checked. The mean mass was 9.2 kg, the standard deviation 0.17 kg. How many boxes must the processor sample to be 99% confident that the sample mean does not differ from the population mean by more than 0.13 kg? (Round the intermediate calculation to 2 decimal places. Round the final answer to the nearest whole number.)

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