Identify the Probability of Each Sample, and Describe the Sampling $1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16$

question 74

Multiple Choice

Identify the probability of each sample, and describe the sampling distribution of the sample means.
-The number of books sold over the course of the four-day book fair were 189, 167, 271, and 83. Assume that samples of size 2 are randomly selected with replacement from this population of four values.

• A) \(1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16\)
• B) \(1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16 ; 1 / 16\)
• C) \(1 / 2 ; 1 / 16 ; 1 / 4 ; 1 / 16 ; 1 / 4 ; 1 / 16 ; 1 / 2 ; 1 / 16 ; 1 / 4 ; 1 / 16 ; 1 / 2 ; 1 / 16 ; 1 / 4 ; 1 / 16 ; 1 / 2 ; 1 / 16\)
• D) \(0 / 16 ; 1 / 16 ; 1 / 8 ; 0 / 16 ; 1 / 16 ; 1 / 8 ; 1 / 16 ; 0 / 16 ; 1 / 8 ; 1 / 16 ; 1 / 16 ; 1 / 8 ; 1 / 16 ; 0 / 16 ; 1 / 8 ; 1 / 16\)

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Definitions:

Mental Disorders

Conditions that affect a person's thinking, feeling, behavior, or mood, significantly impacting daily functioning and overall well-being.

Anxiety Disorders

A group of mental health disorders characterized by excessive fear, anxiety, apprehension, and worry that is difficult to control, causing significant distress or impairment in social, occupational, or other important areas of functioning.

Generalized Anxiety Disorder

A mental health disorder characterized by pervasive and exaggerated worry about multiple aspects of life, beyond what is warranted by the situation.

Cognitive-behavioral Explanation

An approach that combines cognitive and behavioral techniques to treat psychological disorders, emphasizing the role of thoughts and behaviors in the development and maintenance of problems.