Math 2526 Applied Statistics Study Guide

final.md

Final Review Sheet

Side note: we use z-tables that require all of the values to be added by .5

• Youtube help

• Normal Distribution

  • Intro
  • Standard Normal Dist
  • case1: P(X<x) where x>μ
  • case2: P(X>x) where x>μ
  • case3: P(X>x) where x<μ
  • case4: P(X<x) where x<μ
  • finding the mean and std dev

• Expected Mean E(X)

1. Find simple probability
2. Binomial Distribution

• Intro
• Formula
• Example

3. Normal Approximation of binomial Distribution

• Norm Dist as an approx to the bino dist

4. Find the probability associated with a normal variable

5. Central Limit Theorem (group average dist)

• understanding
• problem 1
• problem 2
• problem 3
• problem 4
• problem 5
• problem 6

6. Find confidence Interval (pop SD/sample SD)

• problem
• problem
• difference problem

7. Simple testing problem

• two-tail test

8. Find probability of making Type I error

9. Two-sample test (assume equal variance)

10. ANOVA (find SST, SSG, SSE for small sample)

11. ANOVA (find F-value, make decision)

12. Two-Way-Table (find expected value, make your decision)

13. Linear Regression Analysis (find regression line, make your decision)

• Least squares method