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As the size of the sample increases, what happens to the shape of the sampling means?Select one:A. cannot be predicted in advanceB. approaches a normal distributionC. positively skewedD. negatively skewed

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As the size of the sample increases, what happens to the shape of the sampling means?Select one:A. cannot be predicted in advanceB. approaches a normal distributionC. positively skewedD. negatively skewed

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Solution

The correct answer is B. As the size of the sample increases, the shape of the sampling means approaches a normal distribution. This is known as the Central Limit Theorem, which states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

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As the size of the sample increases, what happens to the shape of the sampling means?

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