Question

A mail-delivery company is curious about the distribution of the weight of packages they deliver.

a) given the sample of package weights shown in the table, can the company conclude that the weights of packages come from a normal population? Why or why not?

Package Weights in pounds:

120 82 64 47 66 110 79 63 110 93 72 60 76 99 55 55 61 76 66 64 66 59 80 63 100 110 49 94 23 120 76 61 56 43 76 76 73 100 89 64

b) the company ships packages in pallets of 40 and the forklift they use to move pallets can safely move 3200 pounds. If we assume the population has the same mean and standard deviation as the sample above, find the probability that a pallet of packages will overload the forklift.

c) Does the population need to be normal for the analysis in part B to make sense? why or why not?

d) Would you change anything to improve safety?

Answer 1

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