Assume That the Data Has a Normal Distribution and the Number

question 19

Multiple Choice

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
-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) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma=3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma \neq 3.3 \mathrm{mg}
• \end{array}\)
• C) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma \neq 3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma=3.3 \mathrm{mg}
• \end{array}\)
• D) \(\begin{array}{l}
• \mathrm{H}_{0}: \sigma \geq 3.3 \mathrm{mg} \\
• \mathrm{H}_{1}: \sigma<3.3 \mathrm{mg}
• \end{array}\)

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Definitions:

Dopamine Levels

The concentration of dopamine, a neurotransmitter involved in movement, motivation, and the pleasure-reward system, within the human body.

Substance Addiction

A chronic condition characterized by compulsive drug seeking and use, despite harmful consequences.

Physical Abuse

The intentional use of physical force that causes injury, physical pain, or impairment to another person.

Eating Disorders

Mental health conditions characterized by unhealthy eating habits that negatively affect a person's physical and psychological health.