Data Were Collected on Annual Personal Time (In Hours) Taken $\mathrm{H}_{0:} \mu_{1}-\mu_{2}=0$

question 9

Multiple Choice

Data were collected on annual personal time (in hours) taken by a random sample of 16 women (group1) and 7 men (group 2) employed by a medium sized company.The women
Took an average of 24.75 hours of personal time per year with a standard deviation of 2.84
Hours.The men took an average of 21.89 hours of personal time per year with a standard
Deviation of 3.29 hours.The Human Resources Department believes that women tend to
Take more personal time than men because they tend to be the primary child care givers in
The family.The correct null and alternative hypotheses to test this belief are

• A) \( \mathrm{H}_{0:} \mu_{1}-\mu_{2}=0 \) and \( \mathrm{H}_{\mathrm{A}:} \mu_{1}-\mu_{2}<0 \).
• B) \( \mathrm{H}_{0:} \mu_{1}-\mu_{2}=0 \) and \( \mathrm{H}_{\mathrm{A}:} \mu_{1}-\mu_{2} \neq 0 \).
• C) \( \mathrm{H}_{0:} \mu_{1}-\mu_{2}=0 \) and \( \mathrm{H}_{\mathrm{A}:} \mu_{1}-\mu_{2}>0 \).
• D) \( \mathrm{H}_{0:} \mu_{1}-\mu_{2}>0 \) and \( \mathrm{H}_{\mathrm{A}:} \mu_{1}-\mu_{2}<0 \).
• E) None of the above.

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Definitions:

Machine Hours

The total number of hours that machinery operates during a specific period for manufacturing or production processes.

Raw Materials

Raw materials are the basic, unprocessed inputs used in the manufacture of products.

Charged

Charged refers to recording or incurring an expense or cost against a company's accounts or to the process of loading a financial obligation onto a financial account.

Cost Accounting Systems

Methods and procedures used for collecting, classifying, analyzing, and allocating costs associated with a process, product, or project.