AP STATS Chapter 7 Review Flashcards
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Questions and Answers

What is the symbol for Sample Proportion?

^p

What is the symbol for Sample Mean?

-x

What is the symbol for Population Proportion?

p

What is the symbol for Population Mean?

<p>u</p> Signup and view all the answers

What is the symbol for Population Standard Deviation?

<p>o</p> Signup and view all the answers

What is the distribution of values taken by a statistic in all possible samples of the same size from the same population called?

<p>the sampling distribution</p> Signup and view all the answers

What does the central limit theorem refer to regarding the sampling distribution of the sample mean?

<p>the sample distribution of the sample mean from sufficiently large samples will be approximately normally distributed</p> Signup and view all the answers

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

<p>Accurate</p> Signup and view all the answers

What is sampling variability?

<p>The value of a statistic will vary in repeated sampling</p> Signup and view all the answers

What is a sampling distribution?

<p>Describes the possible values and how often the values occur. Distribution of a statistic</p> Signup and view all the answers

How can you reduce the variability of a statistic?

<p>By taking a larger sample</p> Signup and view all the answers

What is the meaning of accurate in statistics?

<p>unbiased</p> Signup and view all the answers

What is the meaning of precise in statistics?

<p>low variability</p> Signup and view all the answers

Study Notes

Sampling Concepts

  • Sample proportion represented by ^p denotes the proportion of a sample.
  • Sample mean represented by -x signifies the average of a sample's values.
  • Population proportion denoted by p refers to the proportion of a specific characteristic within an entire population.
  • Population mean, represented by u, is the average value of a characteristic across the entire population.
  • Population standard deviation symbolized by o measures the spread of a population's values.

Sampling Distributions

  • The distribution of values taken by a statistic across all possible samples of the same size from the same population is known as the sampling distribution.
  • The central limit theorem states that for sufficiently large samples, the sampling distribution of the sample mean will tend to be normally distributed.

Estimation and Variability

  • A statistic is considered an unbiased estimator of the parameter if it accurately reflects the true population parameter.
  • Sampling variability highlights that the value of a statistic will change with repeated sampling from the same population.
  • A sampling distribution outlines the possible values a statistic can take and how frequently each value occurs.

Reducing Variability

  • Variability of a statistic can be minimized by increasing the sample size, resulting in more stable estimates.

Terminology Clarification

  • An accurate statistic equates to being unbiased, meaning it does not systematically deviate from the true value.
  • A precise statistic corresponds to low variability, indicating consistent results across samples.

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Test your knowledge of key statistical concepts with these flashcards from Chapter 7 of AP Statistics. This chapter covers essential definitions such as sample proportions, means, and population standard deviations. Perfect for on-the-go review or studying before exams!

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