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Questions and Answers
What does the symbol μ (mew) represent?
What does the symbol μ (mew) represent?
- Population standard deviation
- Difference between two sample means
- Sample mean
- Population mean (correct)
What does β represent in statistics?
What does β represent in statistics?
Probability of a type II error
What does the symbol σ represent?
What does the symbol σ represent?
Population standard deviation
What does s/sqrt(n) represent?
What does s/sqrt(n) represent?
What does x bar1 - x bar2 represent?
What does x bar1 - x bar2 represent?
What does μ1 - μ2 (mew1-mew2) represent?
What does μ1 - μ2 (mew1-mew2) represent?
What does σ/sqrt(n) represent?
What does σ/sqrt(n) represent?
What does d bar represent?
What does d bar represent?
What does x bar represent?
What does x bar represent?
What does sqrt((s1/n1)sq + (s2/n2)sq) represent?
What does sqrt((s1/n1)sq + (s2/n2)sq) represent?
What does s represent?
What does s represent?
What does s sub d represent?
What does s sub d represent?
What does alpha symbolize in statistics?
What does alpha symbolize in statistics?
What does t* s/sqrt(n) represent?
What does t* s/sqrt(n) represent?
Flashcards
μ (mew)
μ (mew)
Population mean
β (Beta)
β (Beta)
Probability of a type II error
σ (Sigma)
σ (Sigma)
Population standard deviation
s/sqrt(n)
s/sqrt(n)
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x̄₁ - x̄₂
x̄₁ - x̄₂
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μ₁ - μ₂
μ₁ - μ₂
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σ/sqrt(n)
σ/sqrt(n)
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d̄
d̄
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x̄
x̄
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√((s₁²/n₁) + (s₂²/n₂))
√((s₁²/n₁) + (s₂²/n₂))
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s
s
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s_d
s_d
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α (Alpha)
α (Alpha)
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t* s/sqrt(n)
t* s/sqrt(n)
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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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