Suppose a Population Has a Mean of 400 and a Standard

question 89

Multiple Choice

Suppose a population has a mean of 400 and a standard deviation of 24.If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean between 395.5 and 404.5 is closest to _______.

• A)0.9756
• B)0.0244
• C)0.0278
• D)0.9722
• E)1.0000

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Definitions:

Area

A measure of the extent of a surface or shape, calculated in square units.

z

A standard score that indicates how many standard deviations an element is from the mean of its distribution.

Standard Normal Random Variable

A random variable with a mean of 0 and a standard deviation of 1, following a normal distribution.

Area

The measure of the extent of a two-dimensional figure or shape in a plane.