A Sample of 46 Students Enroll in a Program That $\bar { x } = 11$

question 58

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 $\bar { x } = 11$ 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) 0.28
• B) 0.0307
• C) 1.87
• D) 11.80

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Definitions:

Fallopian Tubes

Tubes extending from either side of the uterus towards the ovaries, providing the passage through which an egg travels from the ovary to the uterus.

Cervix

The lower, narrow end of the uterus that opens into the vagina, playing a key role in reproduction and childbirth.

Shielding

The use of materials to protect against harmful radiation by absorbing or blocking it.

X-rays

A form of electromagnetic radiation used in medical imaging to view the inside of the body.