If the Random Sample $X _ { 1 } , \ldots \ldots , X _ { n }$

question 4

Essay

If the random sample $X _ { 1 } , \ldots \ldots , X _ { n }$ is taken from a normal distribution with mean value $\mu$ and standard deviation $\sigma$ , then regardless of the sample size n, the sample mean $\bar { X }$ is distributed with expected value __________ and standard deviation __________.

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Definitions:

Cognitive Fusion

A concept in psychotherapy referring to the blending of thoughts and experiences until they are not distinct, often leading to increased distress and less effective coping.

Group Therapy

A form of psychotherapy that involves one or more therapists working with several people at the same time.

Social Control

Mechanisms, strategies, and practices designed to regulate behavior and maintain social order within a society.

Functional Behaviors

Behaviors that are considered effective or beneficial within a given context, often contributing positively to an individual's environment or wellbeing.