A Theorem That Allows Us to Use the Normal Probability

question 67

Multiple Choice

A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

• A)approximation theorem
• B)normal probability theorem
• C)central limit theorem
• D)central normality theorem

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Definitions:

Probability

A measure of the likelihood that an event will occur, represented as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Random Sample

A sample in which each member of the population has an equal probability of being selected, aiming for a representative subset.

Standard Error

A statistical measure that indicates the accuracy of a sample mean by estimating the dispersion of sample means around the population mean.

Statistic

A numerical measure that describes a characteristic of a sample, which is often used to estimate the corresponding parameter in the population.