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

question 88

Multiple Choice

Determine the null and alternative hypotheses for the proposed hypothesis test.
-The forced vital capacity (FVC) is often used by physicians to assess a person's ability to move air in and out of their lungs. It is the maximum amount of air that can be exhaled after a deep breath. A Researcher wants to perform a hypothesis test to determine whether the mean forced vital capacity For adults who are smokers is less than the mean forced vital capacity for adults who are former Smokers. He will use a paired sample to determine whether forced vital capacity increases, on Average, when adults stop smoking.

• A) Let \(\mu _ { 1 }\) denote the mean forced vital capacity for adults who are smokers and let \(\mu _ { 2 }\) denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } > \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }\).
• B) Let \(\mu _ { 1 }\) denote the mean forced vital capacity for adults who are smokers and let \(\mu _ { 2 }\) denote the mean forced vital capacity for adults who are former smokers. 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 forced vital capacity for adults who are smokers and let \(\mu _ { 2 }\) denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }\).
• D) Let \(\mu _ { 1 }\) denote the mean forced vital capacity for adults who are smokers and let \(\mu _ { 2 }\) denote the mean forced vital capacity for adults who are former smokers. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }\).

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Definitions:

Chest

The part of the front surface of the body enclosed by the ribs, sternum, and thoracic vertebrae, containing vital organs such as the heart and lungs.

Inflammatory Disease

A disease characterized by inflammation, which is the body's response to infection or injury, leading to redness, swelling, and pain.

Wheezing

A high-pitched whistling sound made while breathing, often indicating breathing difficulties or obstructed airways.

Dyspnea

Difficulty in breathing, often described as an uncomfortable feeling of breathlessness.