Test Hypotheses Regarding the Difference of Two Independent Means
-Test $\mu _ { 1 } > \mu _ { 2 }$

question 94

Short Answer

Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } > \mu _ { 2 }$ . Two samples are randomly selected from normal populations. The sample statistics are given below.
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } } 1 = 435 & \overline { \times } 2 = 420 \\\mathrm {~s} _ { 1 } = 40 & \mathrm {~s} _ { 2 } = 25\end{array}$$

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Definitions:

Cognitive-Behavioral Therapy

Form of psychotherapy that aims to change cognitive distortions and self-defeating behaviors.

Systematic Desensitization

Systematic desensitization is a behavioral therapy technique used to gradually reduce anxiety or fear associated with a particular object, situation, or activity through controlled exposure.

Distorted Thinking

Cognitive processes that twist and misinterpret reality, often leading to negative emotional outcomes.

Self-Defeating Actions

Behaviors or actions taken by individuals that are intended to facilitate achievement of a desired objective but paradoxically lead to failure or the opposite outcome.