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When the population is not normally distributed, the sampling distribution of the mean approximates which of the following? A slight positive skew A normal distribution given a large enough sample A distribution that is not normal A normal distribution

Question

When the population is not normally distributed, the sampling distribution of the mean approximates which of the following? A slight positive skew A normal distribution given a large enough sample A distribution that is not normal A normal distribution

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Solution

The answer is "A normal distribution given a large enough sample". This is based on the Central Limit Theorem, which states that if you have a large enough sample size, the sampling distribution of the mean will be approximately normally distributed, regardless of the shape of the population distribution.

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