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

question 65

Multiple Choice

Determine the null and alternative hypotheses for the proposed hypothesis test.
-A researcher wants to use a paired sample to determine whether the mean number of hours spent exercising per week for married men differs from the mean number of hours spent exercising per Week for married women.

• A) Let \(\mu _ { 1 }\) denote the mean number of hours spent exercising per week for married men and let \(\mu _ { 2 }\) denote the mean number of hours spent exercising per week for married women. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } \neq \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } = \mu _ { 2 }\).
• B) Let \(\mu _ { 1 }\) denote the mean number of hours spent exercising per week for married men and let \(\mu _ { 2 }\) denote the mean number of hours spent exercising per week for married women. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } \neq \mu _ { 2 }\).
• C) Let \(\mu _ { 1 }\) denote the mean number of hours spent exercising per week for married men and let \(\mu _ { 2 }\) denote the mean number of hours spent exercising per week for married women. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }\).
• D) Let \(\bar { x } _ { 1 }\) denote the mean number of hours spent exercising per week for married men and let \(\bar { x } _ { 2 }\) denote the mean number of hours spent exercising per week for married women. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \bar { x } _ { 1 } = \bar { x } _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \bar { x } _ { 1 } \neq \bar { x } _ { 2 }\).

Grasp the concept of Fair Use in the context of using others' works.

Learn methods to verify the reliability of information from various sources.

Recognize the limitations of conventional search engines in accessing the deep Internet.

Understand the importance and scope of secondary information sources.

---

Definitions:

Insecure Attachment

A form of attachment characterized by fear and uncertainty, often resulting from inconsistent or neglectful care from primary caregivers.

Identity

The way in which an individual perceives themselves, including beliefs, characteristics, and personality.

Trust

The belief in the reliability, truth, ability, or strength of someone or something, often considered foundational in social and personal relationships.

Infancy

A developmental period in humans from birth to about 18 months of age, characterized by rapid physical and cognitive growth.