Sampling Distributions Practice

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What is a parameter in statistics?

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A parameter is a numerical value that summarizes a characteristic of a population.

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What is a statistic in statistics?

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A statistic is a numerical value that summarizes a characteristic of a sample.

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What does it mean for a statistic to be an unbiased estimator of a parameter?

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It means that in many samples, the values of the statistic are centered around the true parameter value.

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What is the difference between a population and a sample?

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A population includes all members of a specified group, while a sample is a subset of the population.

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What is a sampling distribution?

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A sampling distribution is the probability distribution of a statistic obtained from a larger number of samples drawn from the same population.

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What is the symbol for sample proportion?

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The symbol for sample proportion is usually denoted as 'p̂' (p-hat).

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What is the central limit theorem?

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The central limit theorem states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large, regardless of the population's distribution.

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What is the standard error of a statistic?

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The standard error is the standard deviation of the sampling distribution of a statistic, indicating how much the statistic is expected to vary from sample to sample.

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How do you calculate the sample proportion?

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The sample proportion is calculated by dividing the number of successes in the sample by the total number of observations in the sample.

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What is the role of random sampling in statistics?

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Random sampling ensures that every member of the population has an equal chance of being selected, which helps to reduce bias.