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 }

Provide an Appropriate Response xxx Is a Normally Distributed Variable on Each of Two Populations

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Provide an Appropriate Response $x$ Is a Normally Distributed Variable on Each of Two Populations

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