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9 Cards in this Set

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One-sample z-test
(Normal distribution or n ≥ 30) and σ known.

(z is the distance from the mean in standard deviations. It is possible to calculate a minimum proportion of a population that falls within n standard deviations(see Chebyshev's inequality).
Two-sample z-test
Normal distribution and independent observations and (σ₁ AND σ₂ known)
One-sample t-test
(Normal population or n > 30) and σ unknown.
df= n-1
Two-sample pooled t-test
(Normal populations or n₁ + n₂ > 40) and independent observations and σ₁ = σ₂ and (σ₁ and σ₂ unknown)

df = n1 + n2 − 2
Two-sample unpooled t-test
(Normal populations or n₁ + n₂ > 40) and independent observations and σ₁ ≠ σ₂ and (σ₁ and σ₂ unknown)
Paired t-test
(Normal population of differences or n > 30) and σ unknown
df= n-1
One-proportion z-test
np > 10 and n(1 − p) > 10
Two-proportion z-test, equal variances
n₁p₁ > 5 AND n₁(1 − p₁) > 5 and n₂p₂ > 5 and n₂(1 − p₂) > 5 and independent observations
Two-proportion z-test, unequal variances
n₁p₁ > 5 and n₁(1 − p₁) > 5 and n₂p₂ > 5 and n₂(1 − p₂) > 5 and independent observations