ECON 222 • Introduction to Probability and Statistics II • Midterm

Z Table

T Table

Chi Square Table

Markov's Inequality

Proof of Markov's Inequality

Example 1

Chebyshev's Inequality

Example 2

Sample Mean

Sample Variance

Example 3

Law of Large Numbers

Central Limit Theorem

Example 1

Example 2

Example 3

Example 4

Example 5

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Z Distribution

Example

Exam-like Question

Chi Square Distribution

Example

T Distribution

Example 1

Example 2

Exam - like Question

Chapter Summary

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Sample Mean and Variance 1

Sample Mean and Variance 2

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2

Sampling Distribution 1

Sampling Distribution 2 - Chi Square Distribution

Sampling Distribution 3 - Chi Square Distribution

Sampling Distribution 4 - Chi Square Distribution

Sampling Distribution 5 - T Distribution

Sampling Distribution 6 - T Distribution

Introduction

Unbiased Estimators 1

Unbiased Estimators 2

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Efficient Estimators

Exam like Question 5

Consistent Estimators 1

Consistent Estimators 2

Consistent Estimators 3

Exam like Question 6

Chapter Summary

Introduction

Table Values

Confidence Interval for Means( Sigma known)

Example 1

Example 2

Exam-like Question 1

Confidence Interval for Means (sigma unknown)

Example 1

Example 2

Confidence Interval for Proportions

Example 1

Exam-like Question 1

Confidence Interval For Variances

Example 1

Example 2

Exam like Question 1

Introduction

Tests for Mean

Example 1

Example 2

Example 3

Example 4

Exam like Question 1

Exam like Question 2

Tests for Proportion

Example 5

Example 6

Exam like Question 3

Tests for Variances

Example 7

Example 8

Exam like Question 4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Sampling Distribution 1

Sampling Distribution 2

Sampling Distribution 3

Sampling Distribution 4

Sampling Distribution 5

Sampling Distribution 6

Sampling Distribution 7

Sampling Distribution 8

Sampling Distribution 9

Point Estimation 1

Point Estimation 2

Point Estimation 3

Point Estimation 4

Confidence Interval 1

Confidence Interval 2

Confidence Interval 3

Confidence Interval 4

Hypothesis Testing 1

Hypothesis Testing 2

Hypothesis Testing 3

Hypothesis Testing 4

Hypothesis Testing 5