All Flashcards
What is a two-sample t-test?
A test to determine if the means of two independent groups are significantly different.
Define Null Hypothesis (Ho) in a two-sample t-test.
The hypothesis stating there is no difference between the means of the two populations being compared. (𝞵1 = 𝞵2)
Define Alternative Hypothesis (Ha) in a two-sample t-test.
The hypothesis stating there is a difference between the means of the two populations being compared (𝞵1 ≠ 𝞵2, 𝞵1 < 𝞵2, or 𝞵1 > 𝞵2).
What is a parametric test?
A statistical test that assumes the data is normally distributed and the variances of the groups are equal.
What is the 10% condition?
A condition that checks for independence by verifying that the population is at least 10 times the sample size.
What is the null hypothesis formula for two sample t-test?
H₀: μ₁ = μ₂ or H₀: μ₁ - μ₂ = 0
What is the alternative hypothesis formula for a two-tailed test?
Hₐ: μ₁ ≠ μ₂ or Hₐ: μ₁ - μ₂ ≠ 0
What is the alternative hypothesis formula for a left-tailed test?
Hₐ: μ₁ < μ₂ or Hₐ: μ₁ - μ₂ < 0
What is the alternative hypothesis formula for a right-tailed test?
Hₐ: μ₁ > μ₂ or Hₐ: μ₁ - μ₂ > 0
What are the differences between the null and alternative hypotheses?
Null Hypothesis: States there is no effect or difference. | Alternative Hypothesis: States there is an effect or difference.
What are the differences between a one-tailed and a two-tailed alternative hypothesis?
One-Tailed: Tests for a difference in a specific direction (greater than or less than). | Two-Tailed: Tests for a difference in either direction (not equal to).
What are the differences between stating the conditions and checking the conditions?
Stating the conditions: Listing the required assumptions (Random, Independent, Normal). | Checking the conditions: Verifying that these assumptions are met by the data or problem context.