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A University Has 1,000 Computers Available for Students to Use

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A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes?


Definitions:

IQ Score

A numerical measure of a person's intelligence relative to others, typically determined by standardized tests.

Mental Age

An assessment of a child’s intellectual standing compared with that of same-age peers; determined by comparing the child’s test score with the average score for children of each chronological age.

Wechsler Adult Intelligence Scale

A standardized test designed to measure adult intelligence through various verbal and performance indicators.

Verbal Scale

A scale used to measure subjective phenomena where responses are given in words rather than numbers or graphical symbols.

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