Test the Hypothesis That $\mu _ { 1 } = \mu _ { 2 }$

question 8

Essay

Test the hypothesis that $\mu _ { 1 } = \mu _ { 2 }$ . Two samples are randomly selected from normal populations. The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } } 1 = 22 & \overline { \mathrm { x } } 2 = 20 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$

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Definitions:

Antagonist

In pharmacology, a substance that acts against and blocks an action within the body, or in literature, a character who opposes the protagonist.

Hallucinations

Perception-like experiences without an external stimulus, evident in conditions like schizophrenia, characterized by seeing, hearing, or feeling things that aren't present.

GABA

Gamma-Aminobutyric Acid, an inhibitory neurotransmitter in the brain that reduces neuronal excitability.

Agonist

A chemical or drug that binds to receptors in the brain and activates them, thereby producing a biological response.