Which Combination of Factors Will Produce the Largest Value for the Standard

question 70

Multiple Choice

Which combination of factors will produce the largest value for the standard error?

• A)A large sample and a large standard deviation
• B)A small sample and a large standard deviation
• C)A large sample and a small standard deviation
• D)A small sample and a small standard deviation

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Definitions:

Standard Deviation

The square root of the variance showing how much individual data points differ from the mean.

Central Limit Theorem

A statistical principle stating that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population's distribution.

Sampling Distribution

The likelihood distribution of a statistic derived from numerous samples taken from a particular population.

Considered Normal

A term often used in statistics and probability to refer to data or distribution patterns that fit within a normal (Gaussian) distribution, characterized by a symmetric bell-shaped curve.