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Ch. 3 β€” Variability
σ²

Population Variance

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Ch. 3 β€” Variability

The average squared distance of every data point from the population mean.

πŸ“ If test scores are {70, 80, 90}, mean = 80. σ² = [(βˆ’10)Β²+(0)Β²+(10)Β²]/3 = 66.7

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Ch. 9 β€” Hypothesis Tests
p-value

Probability Value

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Ch. 9 β€” Hypothesis Tests

The probability of getting your result (or more extreme) if the null hypothesis were actually true.

πŸ“ p = 0.03 means: if Hβ‚€ is true, only 3% chance of seeing this data. Reject Hβ‚€ at Ξ± = 0.05.

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Ch. 11 β€” Regression
r

Pearson Correlation

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Ch. 11 β€” Regression

Measures the strength and direction of a linear relationship between two variables. Always between βˆ’1 and 1.

πŸ“ r = 0.92 β†’ strong positive linear relationship. r = βˆ’0.05 β†’ almost no linear relationship.

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Ch. 8 β€” Inference
Hβ‚€

Null Hypothesis

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Ch. 8 β€” Inference

The default claim β€” usually "no effect" or "no difference." You test against it, never for it.

πŸ“ Hβ‚€: μ₁ = ΞΌβ‚‚ (two drugs have the same mean effect). We try to reject this claim.

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