A machine fills pint size containers with ice cream. The average weight is about

Question

A machine fills pint size containers with ice cream. The average weight is about 14 ounces; the SD is 0.25 ounces. There is no trend or pattern in the data. Each box ships with a gallon plus a pint of ice cream , that is 9 pint size containers of ice cream.

A store decides to purchase 100 boxes of ice cream. What is the chance they got 787.5 pounds of ice cream, to within 15 ounces.

Note, 787.5 is 12,600 ounces. Do not include the percentage symbol in your answer, but do answer in the form of a percentage.

Explanation / Answer

here mean weight of 100 boxes =100*9*14 =12600

and std deviation =0.25*(100*9)1/2 =7.5

therefore chance they got 787.5 pounds of ice cream, to within 15 ounces. =P(-15/7.5<Z<15/7.5)

=P(-2<Z<2)=0.97725-0.02275 =0.9545 ~ 95.45 %

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