AP Statistics Chapter 7 - Sampling Distributions

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________ Sampling Distribution- the distribution of all values taken by a statistic in all possible samples of the same size from the same population A statistic is called an unbiased estimator of a parameter if the mean of its sampling distribution is equal to the parameter being estimated Important Concepts for unbiased estimators  The mean of a sampling distribution will always equal the mean of the population for any sample size  The spread of a sampling distribution is affected by the sample size, not the population size.

standard deviation

If an SRS is drawn from any population with mean and ________ , when n is large (n 30), the sampling distribution of the sample mean x will have the normal distribution.

normal distribution

If an SRS is drawn from a population that has the ________ with mean and standard deviation , then the sample mean will have the ________ for any sample size.

Parameter

________- A parameter is a number that describes some characteristic of the population Statistic- A statistic is a number that describes some characteristic of a sample.

 Sampling Distribution

the distribution of all values taken by a statistic in all possible samples of the same size from the same population A statistic is called an unbiased estimator of a parameter if the mean of its sampling distribution is equal to the parameter being estimated Important Concepts for unbiased estimators  The mean of a sampling distribution will always equal the mean of the population for any sample size  The spread of a sampling distribution is affected by the sample size, not the population size

7.2

Sample Proportions Choose an SRS of size n from a large population with population proportion p having some characteristic of interest

7.3

Sample Means Suppose that x is the mean of a sample from a large population with mean and standard deviation 