The American Sugar Producers Association wants to estimate the meanyearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviationof 20 pounds.
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 weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must 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?
The solution provides step by step method for the calculation of sample size. Formula for the calculation and Interpretations of the results are also included.