ST1131 Cheat Sheet Page 2

Chapter 9: Hypothesis - Step 1: Hypotheses H₀: µ = µ₀ VS Hₐ: µ ≠ µ₀ - Step 2: Assumptions Variable is quantitative/categorical Data obtained randomized? Population distribution approximately normal (SIZE)? - Step 3: Compute test statistic For Population Proportion: ̂ √

, ̂ is stat, p0 is pop

Chapter 10: 2 Populations

Chapter 13: Regression Analysis

CI for difference of Means (Independent samples)

r-coefficient / Regression: ̅ ∑( )(

( ̅

̅ )

√(

(

)

)

CI for difference of 2 proportions (

)

√(

)

(

sum of squares = ∑( = ∑( standardized residual =

Test stat for difference of Means (Independent samples) ( ̅ ̅ ) (̅ ̅ ) √(

)

(

)

, df = n – 1 √

- Step 5: Conclusion Small p, reject H₀ and conclude that… Large p, evidence to support H₀

⁄√

-

else, use pooled p

̂)

Test stat: ⁄

Residual s.d: )

(

Linear, as from scatter plot Data obtained randomly Points have similar spread at different values of x

CI:

(

̂)

(

( )

Test stat for diff of 2 proportions √

) ̂)

Regression Analysis Assumptions:

Test stat: diff of means (dependent) ̅ - Step 4: Derive p-value

)

) slope:

For Population Mean ̅

⁄

̅

̂

CI: PI:

̂

( ) ∑(

√ ⁄

(

̂)

̂)