A Sample of 46 Students Enroll in a Program That $\bar { x } = 16$

question 85

Multiple Choice

A sample of 46 students enroll in a program that claims to improve scores on the quantita reasoning portion of the Graduate Record Examination (GRE) . The participants take a mc GRE test before the program begins and again at the end to measure their improvement.
The mean number of points improved was $\bar { x } = 16$ . Assume the standard deviation is $\sigma = 53$ 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 $H _ { 1 } : \mu > 0$ . ive Compute the value of the test statistic.

• A) 14.91
• B) 0.0202
• C) 0.30
• D) 2.05

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Definitions:

Democracy

A form of government in which power is vested in the people, either directly or through elected representatives.

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, and praise.

Intrinsic Motivation

A drive to engage in activities for their own sake, due to internal rewards like satisfaction and joy, rather than for external rewards.

Schoolwork

Tasks assigned by teachers, intended to be completed by students outside of class, to reinforce learning.