Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , p , \sigma )$

question 60

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter.
-A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the $\sigma = 3.3 \mathrm { mg }$ claimed by the manufacturer.

• A)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma \leq 3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma>3.3 \mathrm{mg}
• \end{array}\)
• B)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma \geq 3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma<3.3 \mathrm{mg}
• \end{array}\)
• C)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma \neq 3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma=3.3 \mathrm{mg}
• \end{array}\)
• D)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma=3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma \neq 3.3 \mathrm{mg}
• \end{array}\)

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Definitions:

Independence of Systems

The principle that different systems or processes operate autonomously without interference from or interaction with each other.

Hierarchical Integration

A concept in psychology that suggests complex cognitive processes are formed by integrating simpler ones into a structured hierarchy.

Proportional Changes

Adjustments or alterations that maintain a consistent relationship or ratio among components or between an individual component and a whole.

Menarche

A girl’s first menstruation.