Consider the Following to Answer the Question(s) Below

question 4

Multiple Choice

Consider the following to answer the question(s) below:
The Dispenser Right Company makes a soft drink dispensing machine used in many fast food restaurants. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by a particular machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:

-The correct null and alternative hypotheses are

• A) H0 : µ = 14 and HA : µ ≠ 14.
• B) H0 : µ ≠ 14 and HA : µ = 14.
• C) H0 : µ = 14 and HA : µ > 14.
• D) H0 : µ = 14 and HA : µ < 14.
• E) H0 : µ < 14 and HA : µ > 14.

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Definitions:

Exponential Decay

A decrease in quantity that occurs at a rate proportional to the current total, often seen in contexts like radioactive decay.

Arithmetic Operations

Core math processes involving plus, minus, times, and divided by.

Percentage Calculation

The process of determining the portion or fraction of a whole that is represented by a specific number, often used in financial and statistical analyses.

Financial Calculation

The process of applying mathematical methods and formulas to analyze or predict financial outcomes.