Sampling mean distribution and proportion distribution
Ermi E-learning
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Sampling mean distribution and proportion distribution
77 840 просмотров · 1 год назад
Ermi E-learning
114 тыс. подписчиков
77 840 просмотров · 1 год назад
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Sampling Mean Distribution
Definition: The sampling mean distribution is the probability distribution of all possible sample means that can be obtained from a population.
Characteristics:
Central Limit Theorem: Regardless of the shape of the population distribution, the sampling mean distribution will approach a normal distribution as the sample size increases.
Mean: The mean of the sampling mean distribution is equal to the population mean .
Standard Deviation: The standard deviation of the sampling mean distribution, also known as the standard error, is equal to the population standard deviation (σ) divided by the square root of the sample size.
Proportion Distribution
Definition: The proportion distribution is the probability distribution of all possible sample proportions that can be obtained from a population.
Characteristics:
Normal Approximation: When the sample size is large enough and n, where p is the population proportion, the proportion distribution can be approximated by a normal distribution.
Mean: The mean of the proportion distribution is equal to the population proportion.
Standard Deviation: The standard deviation of the proportion distribution is equal to
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