Question 239004: A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted into a box for shipment. To test the mass of the boxes, a few were checked. The mean mass was 9.3kg, the standard deviation 0.23g. How many boxes must the processor sample to be 95% confident that the sample mean does not differ from the population mean by not more than 0.09kg.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted into a box for shipment. To test the mass of the boxes, a few were checked. The mean mass was 9.3kg, the standard deviation 0.23g. How many boxes must the processor sample to be 95% confident that the sample mean does not differ from the population mean by not more than 0.09kg.
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n = [z*s/E]^2
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n = [1.96*0.23/0.09]^2 = 25.09
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Round up to get: n = 26
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Cheers,
Stan H.
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