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?
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What is the symbol for Population Standard Deviation?
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What is the distribution of values taken by a statistic in all possible samples of the same size from the same population called?
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What does the central limit theorem refer to regarding the sampling distribution of the sample mean?
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What does it mean for a statistic to be an unbiased estimator of the parameter?
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What is sampling variability?
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What is a sampling distribution?
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How can you reduce the variability of a statistic?
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What is the meaning of accurate in statistics?
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What is the meaning of precise in statistics?
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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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Description
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!
