Questions and Answers
What does the symbol μ (mew) represent?
What does β represent in statistics?
Probability of a type II error
What does the symbol σ represent?
Population standard deviation
What does s/sqrt(n) represent?
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What does x bar1 - x bar2 represent?
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What does μ1 - μ2 (mew1-mew2) represent?
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What does σ/sqrt(n) represent?
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What does d bar represent?
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What does x bar represent?
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What does sqrt((s1/n1)sq + (s2/n2)sq) represent?
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What does s represent?
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What does s sub d represent?
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What does alpha symbolize in statistics?
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What does t* s/sqrt(n) represent?
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Study Notes
Statistical Symbols and Their Definitions
- μ (mew): Represents the population mean as well as the mean of the sampling distribution of x bar.
- β: Denotes the probability of making a type II error, which occurs when failing to reject a false null hypothesis.
- σ: Symbolizes the population standard deviation, indicating the dispersion of population data around the mean.
- s/√n: Formula for the standard error of the sample mean (x), helping to quantify the uncertainty in the estimate of the population mean.
- x̄1 - x̄2: Represents the difference between two sample means, critical for comparing different datasets.
- μ1 - μ2 (mew1 - mew2): Indicates the difference between two population means, essential for understanding variations between two groups.
- σ/√n: Refers to the standard deviation of the sampling distribution of x, illustrating how sample means vary from the population mean.
- d̄: Represents the mean of the sample of differences, often used in paired sample analyses.
- x̄: The sample mean, which is a point estimate of the population mean calculated from sample data.
- √((s1/n1)² + (s2/n2)²): This formula calculates the standard error of the difference between two sample means, providing insight into the variability of this estimate.
- s: The sample standard deviation, capturing the variability of observations within a sample.
- s_d: Refers to the standard deviation of the sample of differences, applicable in contexts such as matched pair t-tests.
- α (alpha): Signifies the level of significance, which is the probability of making a type I error, or rejecting a true null hypothesis.
- t s/√n*: The formula for calculating the margin of error for a one-sample t confidence interval for the population mean (μ), helping to quantify the uncertainty around the estimate.
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Description
Test your understanding of important statistics symbols with these flashcards. Each card provides the symbol along with its definition, covering key concepts like population mean, standard deviation, and type II error. Perfect for statistics students looking to strengthen their knowledge.
