The Scores on a Certain Test Are Normally Distributed with a Mean

question 19

Multiple Choice

The scores on a certain test are normally distributed with a mean score of 58 and a standard deviation of 4. What is the likelihood that a sample of 90 students will have a mean score of at least 58.4216?

• A) 0.8413
• B) 0.3413
• C) 0.3174
• D) 0.1587

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Definitions:

Two-Tailed

Pertains to a test of significance where the critical area of a distribution is two-sided and tests whether a sample is either greater than or less than a certain range of values.

Degrees Of Freedom

The number of values in a statistical calculation that are free to vary without violating the constraints of the calculation.

Critical Values

Specific points on the scale of a test statistic beyond which the null hypothesis is rejected in favor of the alternative hypothesis.

Two-Tailed

A hypothesis test that allows for the possibility of an effect in two directions, either less than or greater than a specified range.