A Sample of 39 Students Enroll in a Program That $\bar { x } = 12$

question 87

Multiple Choice

A sample of 39 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 $\bar { x } = 12$ . Assume the standard deviation is $\sigma = 40$ and let $\mu 1$ 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 P-value.

• A) 0.0305
• B) 0.0076
• C) 1.8735
• D) 0.0153

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Definitions:

Self-Esteem

An individual's overall subjective emotional evaluation of their own worth or value.

Social Acceptance

The act of a community or group receiving an individual as an adequate member of said group, often conforming to its norms, beliefs, and expectations.

Belonging

The feeling of security and support when there is a sense of acceptance, inclusion, and identity for a member within a group.

Above-Average Effect

The tendency for individuals to overestimate their abilities or qualities, particularly in comparison to others, also known as the superiority bias.