A Sample of 41 Students Enroll in a Program That $\bar { x } = 17$

question 33

Multiple Choice

A sample of 41 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 $\bar { x } = 17$ . Assume the standard deviation is $\sigma = 69$ 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 $H _ { 1 } : \mu > 0$ .
Do you reject $H _ { 0 }$ at the $\alpha = 0.01$ level?

• A) There is not enough information to draw a conclusion.
• B) Yes
• C) \(\mathrm { No }\)

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Definitions:

Fallopian Tubes

Tubes that extend from the uterus to the ovaries, providing the path for an egg to travel during ovulation.

Spermatogenesis

The process of sperm cell development, occurring in the testes of males.

Spermatocytes

Cells in the testes that undergo meiosis to produce sperm.

Spermatids

Immature male sex cells that result from the division of secondary spermatocytes and will eventually develop into mature sperm.