Determine the null and alternative hypotheses for the proposed hypothesis test.
-A pharmaceutical company wants to determine whether its new antianxiety medication has any effect on resting pulse rate. They will use a paired sample to determine whether the mean resting
Pulse rate for adults not taking the antianxiety medication differs from the mean resting pulse rate
For adults who are taking the antianxiety medication.
A) Let $\mu _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } \neq \mu _ { 2 }$.
B) Let $\mu _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. 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 resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } \neq \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } = \mu _ { 2 }$.
D) Let $\bar { x } _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\bar { x } _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \overline { \mathrm { x } } _ { 1 } = \overline { \mathrm { x } } _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \overline { \mathrm { x } } _ { 1 } \neq \overline { \mathrm { x } } _ { 2 }$.

Question

Determine the null and alternative hypotheses for the proposed hypothesis test.
-A pharmaceutical company wants to determine whether its new antianxiety medication has any effect on resting pulse rate. They will use a paired sample to determine whether the mean resting
Pulse rate for adults not taking the antianxiety medication differs from the mean resting pulse rate
For adults who are taking the antianxiety medication. 
A) Let $\mu _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } \neq \mu _ { 2 }$.
B) Let $\mu _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. 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 resting pulse rate for adults not taking the antianxiety medication and let $\mu _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \mu _ { 1 } \neq \mu _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } = \mu _ { 2 }$.
D) Let $\bar { x } _ { 1 }$ denote the mean resting pulse rate for adults not taking the antianxiety medication and let $\bar { x } _ { 2 }$ denote the mean resting pulse rate for adults who are taking the antianxiety medication. The null and alternative hypotheses are $\mathrm { H } _ { 0 } : \overline { \mathrm { x } } _ { 1 } = \overline { \mathrm { x } } _ { 2 }$ and $\mathrm { H } _ { \mathrm { a } } : \overline { \mathrm { x } } _ { 1 } \neq \overline { \mathrm { x } } _ { 2 }$.

Quizplus · Accepted Answer

The correct hypothesis setup for testing if there is any effect (either increase or decrease) on the resting pulse rate due to the antianxiety medication is to have a null hypothesis stating there is no difference ($\mu_1 = \mu_2$) and an alternative hypothesis stating there is a difference ($\mu_1 \neq \mu_2$). This is a two-tailed test appropriate for detecting any effect.

Determine the Null and Alternative Hypotheses for the Proposed Hypothesis μ1\mu _ { 1 }μ1​

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