Determine the Null and Alternative Hypotheses for the Proposed Hypothesis $\mu _ { 1 }$

question 7

Multiple Choice

Determine the null and alternative hypotheses for the proposed hypothesis test.
-A pharmaceutical company wants to determine whether its new antianxiety medication has any effect on resting pulse rate. They will use a paired sample to determine whether the mean resting
Pulse rate for adults not taking the antianxiety medication differs from the mean resting pulse rate
For adults who are taking the antianxiety medication.

• A) Let \(\mu _ { 1 }\) denote the mean resting pulse rate for adults not taking the antianxiety medication and let \(\mu _ { 2 }\) denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } \neq \mu _ { 2 }\).
• B) Let \(\mu _ { 1 }\) denote the mean resting pulse rate for adults not taking the antianxiety medication and let \(\mu _ { 2 }\) denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }\).
• C) Let \(\mu _ { 1 }\) denote the mean resting pulse rate for adults not taking the antianxiety medication and let \(\mu _ { 2 }\) denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } \neq \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } = \mu _ { 2 }\).
• D) Let \(\bar { x } _ { 1 }\) denote the mean resting pulse rate for adults not taking the antianxiety medication and let \(\bar { x } _ { 2 }\) denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \overline { \mathrm { x } } _ { 1 } = \overline { \mathrm { x } } _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \overline { \mathrm { x } } _ { 1 } \neq \overline { \mathrm { x } } _ { 2 }\).

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Definitions:

Biological Makeup

The genetic and physiological characteristics that define an individual's biology, including genetic code, organ functioning, and hormonal levels.

Internal Mental Events

Psychological phenomena that occur within the mind, including thoughts, feelings, and perceptions, not directly observable by others.

B.F. Skinner

A psychologist from America recognized for his contributions to the field of behaviorism and for creating the operant conditioning theory.

John Watson

A pioneering figure in psychology known for establishing the behaviorist school of thought.