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When a Machine Dispensing Cola at a Bottling Plant Is

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Short Answer

When a machine dispensing cola at a bottling plant is working correctly, it dispenses a mean of 12 ounces of cola per bottle with a standard deviation of 0.2 ounces.
a. When the machine is working correctly, what percentage of the bottles will be filled with between 11.6 and 12.4 ounces of cola?
At least ______________.
b. On a particular day, the bottling plant supervisor randomly selects two bottles from among those filled by the machine. One bottle contains 11.8 ounces of cola, and the other contains 12.1 ounces of cola. Based on the contents of these two bottles, what can the supervisor infer (conclude) about the machine's performance?
____________________________


Definitions:

Standard Labour Hours

The number of labor hours predetermined as necessary to complete a job or task under normal conditions.

Actual Labour Hours

The actual amount of labor time spent on a particular job or task, measured in hours.

Materials Quantity Variance

The difference between the actual quantity of materials used in production and the expected quantity of materials that should have been used according to standards.

Standard Quantity

The expected or budgeted quantity of materials, labor, or overheads necessary for producing a unit of production or service under specified conditions.

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