A Sample of 43 Students Enroll in a Program That $\bar { x } = 7$

question 171

Essay

A sample of 43 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 measure their improvement.

The mean number of points improved wa $\bar { x } = 7$ . Assume the standard deviation is $\sigma = 56$ 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 $H _ { 1 } : \mu > 0$ .
i). Compute the value of the test statistic.
ii). Compute the $P$ -value.
iii). Do you reject $H _ { 0 }$ at the $\alpha = 0.01$ level?

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Definitions:

Surge Protector

A device that shields electronics from voltage spikes by blocking or shorting to ground unwanted voltages.

UPS

An Uninterruptible Power Supply, a device that provides emergency power to a load when the input power source fails.

Multifactor Authentication

Use of two or more factors to provide access. The factors can be something you possess, such as a card, current location, security token–provided code, PIN, fingerprint, facial recognition, palm print, or password.

Encrypted

Describes data that has been converted into a secure format that prevents unauthorized access, typically through the use of algorithms and cryptographic keys.