A Soft Drink Filling Machine, When in Perfect Adjustment, Fills $\mu$

question 94

Multiple Choice

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

• A)H₀: \(\mu\) < 12 H_a: \(\mu\) \(\le\) 12
• B)H₀: \(\mu\) \(\le\) 12 H_a: \(\mu\) > 12
• C)H₀: \(\mu\) \(\neq\) 12 H_a: \(\mu\) = 12
• D)H₀: \(\mu\) = 12 H_a: \(\mu\) \(\neq\) 12

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Definitions:

Hypothesis

A proposed explanation for an observation or phenomenon, set forth as a basis for further investigation.

Experiment

A study of causal relationships in which the researcher manipulates an independent variable to examine its effect on a dependent variable.

Meta-analysis

A statistical technique used to combine the results of multiple studies on a specific topic to derive a comprehensive understanding of the research area.

Statistical Test

A mathematical procedure used to determine if there is a significant difference between two or more groups or variables.