The Dean of a College Wants to Determine the Proportion

question 38

Short Answer

The dean of a college wants to determine the proportion of students who do not use the campus library.What sample size should he take so that, at 97% confidence, the margin of error will not be more than .1?

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Definitions:

Range

The difference between the highest and lowest values in a data set, indicating the spread or dispersion of the set.

Chebyshev's Theorem

A statistical theorem that gives an inequality for assessing the probability that a random variable differs from its mean.

Empirical Rules

A statistical rule stating that for a normal distribution, nearly all data will fall within three standard deviations of the mean.

Interquartile Range

A measure of variability, calculated as the difference between the third (75th percentile) and first quartile (25th percentile), that indicates the middle 50% of the data.