The Average Diastolic Blood Pressure of a Group of Men $$\begin{array}{l}\mathrm{H}_{0}: \mu=96 \mathrm{mmHg} \\\mathrm{H}_{\mathrm{a}}: \mu<96 \mathrm{mmHg}\end{array}$$

question 58

Multiple Choice

The average diastolic blood pressure of a group of men suffering from high blood pressure is 96 mmHg. During a clinical trial, the men receive a medication, which it is hoped, will lower their blood pressure. After three months, the researcher wants to perform a hypothesis test to determine whether the average diastolic blood pressure of the men has decreased. The hypotheses are: $$\begin{array}{l}\mathrm{H}_{0}: \mu=96 \mathrm{mmHg} \\\mathrm{H}_{\mathrm{a}}: \mu<96 \mathrm{mmHg}\end{array}$$
Explain the meaning of a Type II error.

• A) Concluding that \( \mu>96 \mathrm{mmHg} \) when in fact \( \mu<96 \mathrm{mmHg} \)
• B) Failing to reject the hypothesis that \( \mu=96 \mathrm{mmHg} \) when in fact \( \mu<96 \mathrm{mmHg} \)
• C) Failing to reject the hypothesis that \( \mu=96 \mathrm{mmHg} \) when in fact \( \mu=96 \mathrm{mmHg} \)
• D) Concluding that \( \mu<96 \mathrm{mmHg} \) when in fact \( \mu=96 \mathrm{mmHg} \)

---

Definitions:

Warranties

Legally binding promises or guarantees about the condition, quality, or performance of goods or services sold, which are enforceable under the sale of goods laws.

Indorsement

A signature or stamp on a financial document transferring the rights and responsibilities from one party to another.

Transferor

The party who transfers a right, title, or interest in property to another party, known as the transferee.

Dishonored Check

A check that a bank has refused to cash or pay because there are insufficient funds in the account on which it was drawn, or because it is considered a fraudulent check.