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 \(\mathrm { H } _ { \mathrm { a } } : \bar { x } _ { 1 } \neq \bar { x } _ { 2 }\).

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Definitions:

Financial Statement

A financial statement is a report that provides information regarding a company's financial performance and position, including its income statement, balance sheet, and cash flow statement.

Profit

The financial gain achieved when the amount of revenue gained from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.

Accounting Equation

The fundamental equation of double-entry bookkeeping, stating that assets equal liabilities plus equity.

Office Equipment

Tangible items used in an office setting, such as computers, desks, and chairs, necessary for daily operations.