The Local Pharmacy Prides Itself on the Accuracy of the Number

question 86

Short Answer

The local pharmacy prides itself on the accuracy of the number of tablets that are dispensed in a 60-count prescription. The new manager feels that the pharmacy assistants might have become careless in counting due to an increase in the volume of prescriptions. To test her theory, she randomly selects 40 prescriptions requiring 60 tablets and recounts the number in each bottle. She finds a sample mean of 62.05 and a standard deviation of 4.45. Calculate a confidence interval to test the hypotheses at α = .002 and interpret the result.

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Definitions:

Acre-Foot

An acre-foot is a unit of volume commonly used in the United States to measure large-scale water resources, such as in reservoirs and lakes, equating to the volume of water needed to cover one acre of land to a depth of one foot.

Football Field

A playing surface, typically measuring 100 yards (91.44 meters) long and 53.3 yards (48.77 meters) wide, used for American football games.

Gallons

A unit of fluid volume measurement used in the US and the British imperial system, equal to 3.785 liters in the US.

Water Table

The upper surface of the saturated zone in an unconfined aquifer, below which the ground is fully saturated with water.