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

question 52

Essay

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 greater than 200 gigabytes?

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Definitions:

Baptistery

A part of a church or a separate building used for the Christian rite of baptism.

Trefoil Arches

Arches with a three-lobed or clover-shaped top, commonly found in Gothic and Islamic architecture.

Three-dimensional Body

An object that has height, width, and depth, enabling it to occupy physical space and be perceived from different angles.

Illusion

A perceptual phenomenon where the reality differs from the perception, often used in art to create depth or three-dimensional effects on two-dimensional surfaces.