# Testing hypotheses using the five-step procedures.

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1. 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 weight of the boxes, a few were checked. The mean weigh was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?

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#### Solution Preview

We will use a formula for the margin of error which is

Margin of error=sigma/sqrt(n)*z .......................(1)

where sigma is the standard deviation, n is the sample size ...

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The solution contains detailed explanation of testing hypotheses using the five-step procedures.

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