AP Stats 7.1 and 7.2

A ________ describes a characteristic of a population, while a ________ describes a characteristic of a sample

parameter, statistic

The ________ is the distribution of values taken by a statistic in all possible samples of the same size from the same population.

sampling distribution

A statistic is a(n) ________ of a parameter if the mean of its sampling distribution is equal to the true value of the parameter.

unbiased estimator

The ________ (p̂) is calculated as (number of successes in the sample) / (total sample size).

sample proportion

The mean of the sampling distribution of p̂ (μp̂) is equal to ________.

population proportion (p)

σp̂ = √(( _______ )/n

p(1-p)

The sampling distribution of p̂ is approximately Normal if np ≥ ____ and n(1-p) ≥ ____.

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The ________ (σp̂) measures the typical distance of sample proportions from the mean of the sampling distribution.

standard deviation

The goal of examining a sampling distribution is to understand the ________ of the statistic and to determine whether it is an ________ of the parameter of interest.

variability, unbiased estimator

Be careful to use the correct words and symbols to distinguish between ________ and ________ .

populations, samples

The __________ describes how the statistic x̄ varies in all possible samples of the same size from the population.

sampling distribution of the sample mean

The mean of the sampling distribution of x̄ is μx̄=μ, so x̄ is an __________ of μ

unbiased estimator

The standard deviation of the sampling distribution of x̄ is σx̄=σ/√n for an SRS of size n if the population has standard deviation σ. This formula can be used if the sample size is less than __________ of the population size (10% condition)

10%

When we want information about the __________ μ for some quantitative variable, we often take an SRS and use the sample mean x̄ to estimate the unknown parameter μ

population mean

The __________ is important in statistics because it allows us to use a Normal distribution to find probabilities involving the sample mean if the sample size is reasonably large

central limit theorem

The sampling mean(x̄) of is approximately Normal if n ≥ ____ .

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