H3) Two-Sample z-Test in Python
A1) Mutually Exclusive vs Independent Events
• A1) Mutually Exclusive vs Independent...
A2) Conditional Probability Formula for Independent Events
• A2) Conditional Probability Formula f...
A3) Law of Large Numbers (LLN)
• A3) Law of Large Numbers (LLN)
A4) If you test positive for cancer, what is the probability that you in fact has cancer?
• A4) If you test positive for cancer, ...
A5) Are Disjoint Events Independent?
• A5) Are Disjoint Events Independent?
B1) What is a Random Variable?
• B1) What is a Random Variable?
B2) Expected Value of a Random Variable
• B2) Expected Value of a Random Variable
B3) Random Variable: Variance and Standard Deviation
• B3) Random Variable: Variance and Sta...
B4) Prove that E(cX) = cE(X)
• B4) Prove that E(cX) = cE(X)
B5) Prove that Var(cX)=ccVar(X)
• B5) Prove that Var(cX)=ccVar(X)
B6) Var(X)=E(X^2)-[E(X)]^2
• B6) Var(X)=E(X^2)-[E(X)]^2
B7) Bernoulli Random Variable
• B7) Bernoulli Random Variable
C1) Random Variables: Mean and Standard Deviation
• C1) Random Variables: Mean and Standa...
C2) Covariance vs Variance
• C2) Covariance vs Variance
C3) Correlation vs Covariance
• C3) Correlation vs Covariance
C4) Cov(X,Y)=E(XY)-E(X)E(Y)
• C4) Cov(X,Y)=E(XY)-E(X)E(Y)
C5) If X and Y are independent, then Cov(X,Y)=0
• C5) If X and Y are independent, then ...
C6) Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)
• C6) Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)
D1) Standard Normal Distribution
• D1) Standard Normal Distribution
D2) What is z-score?
• D2) What is z-score?
D3) What means independent and identically distributed (iid)?
• D3) What means independent and identi...
D4) Central Limit Theorem (CLT)
• D4) Central Limit Theorem (CLT)
E1) Population Parameter vs Sample Statistic
• E1) Population Parameter vs Sample St...
E2) Standard Error of the Mean
• E2) Standard Error of the Mean
E3) Random Sample
• E3) Random Sample
E4) Unbiased Estimator
• E4) Unbiased Estimator
F1) 95% Confidence Interval for Proportion (p)
• F1) 95% Confidence Interval for Propo...
F2) Normal vs Student’s t-distribution
• F2) Normal vs Student’s t-distribution
F3) Confidence Interval for a Population Mean
• F3) Confidence Interval for a Populat...
F4) Margin of Error
• F4) Margin of Error
G1) Null vs Alternative Hypothesis
• G1) Null vs Alternative Hypothesis
G2) Type I vs Type II Errors
• G2) Type I vs Type II Errors
G3) Z-test for a Proportion
• G3) Z-test for a Proportion
G4) T-test for the Mean
• G4) T-test for the Mean
H1) Randomized Experiment
• H1) Randomized Experiment
H2) Two-Sample t-Test in Python
• H2) Two-Sample t-Test in Python
H3) Two-Sample z-Test in Python
• H3) Two-Sample z-Test in Python
