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If 
is the mean of a simple random sample taken from a large population and if the N population values are normally distributed, the sampling distribution of 
is also normally distributed, regardless of sample size, n.
Sampling Distribution
A statistical distribution that represents the range and frequency of possible outcomes for a statistic if an experiment were repeated many times under similar conditions.
Normally Distributed
Describes a type of continuous probability distribution for a real-valued random variable where the data forms a bell-shaped curve.
Population Values
Population values refer to the actual values or characteristics of every member of a defined group or population.
- Absorb the significance and role of the Central Limit Theorem (CLT) in the domain of statistical inference, emphasizing its effect on the form of the sampling distribution.
- Comprehend the instances whereby the Central Limit Theorem is relevant to both continuous and discrete distributions.
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Learning Objectives
- Absorb the significance and role of the Central Limit Theorem (CLT) in the domain of statistical inference, emphasizing its effect on the form of the sampling distribution.
- Comprehend the instances whereby the Central Limit Theorem is relevant to both continuous and discrete distributions.
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