A Sample of 46 Students Enroll in a Program That $\bar { x } = 24$

question 78

Multiple Choice

A sample of 46 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE) . The participants take a mock GRE test before the program begins and again at the end to measure their improvement.
The mean number of points improved was $\bar { x } = 24$ . Assume the standard deviation is $\sigma = 40$ and let $\mu$ be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$ .
Compute the value of the test statistic.

• A) \(0.0000\)
• B) \(4.07\)
• C) \(0.60\)
• D) \(25.74\)

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Definitions:

Positive Symptoms

Features added to a person's normal behavior, including hallucinations and delusions, typically associated with schizophrenia.

Objectively Observed

The act of monitoring or noticing something without the influence of personal feelings, interpretations, or prejudice; based purely on factual evidence.

Sluggish Schizophrenia

A controversial concept in psychiatry, no longer widely recognized, that was characterized by a gradual onset and progression of symptoms.

DSM-5

The fifth version of the Diagnostic and Statistical Manual of Mental Disorders serves as the definitive manual for healthcare professionals to diagnose mental health conditions.