ME 209 • Final • Engineering Statistics

Sample Mean

Sample Variance

Example 1

Central Limit Theorem

Example 2

Example 3

Example 4

Example 5

Example 6

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Introduction

Biasedness

Example 1

Consistency and Mean Squared Error (MSE)

Method of Maximum Likelihood

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Central Limit Theorem 4

Point Estimation 1

Point Estimation 2

Point Estimation 3

Point Estimation 4

Point Estimation 5

Point Estimation 6

Reading T Table

t-Distribution

Example 1

Example 2

Confidence Interval for Means( Sigma known)

Example 1

Example 2

Example 3

Confidence Interval for Means (sigma unknown)

Example 1

Example 2

Hypothesis Testing for Means

Example 1

Example 2

Example 3

Example 4

t-Distribution 1

t-Distribution 2

C.I. of Mean (Known Variance) 1

C.I. of Mean (Known Variance) 2

C.I. of Mean (Known Variance) 3

C.I. of Mean (Unknown Variance) 1

C.I of Mean (Unknown Variance) 2

C.I. of Mean (Unknown Variance) 3

Testing for the Mean 1

Testing for the Mean 2

Testing for the Mean 3

Testing for the Mean 4

Testing for the Mean 5

Testing for the Mean 6

Testing for the Mean 7

Testing for the Mean 8

Discrete Joint Probability

Conditional Probability Mass Function

Continuous Joint Probability

Conditional Probability Density Function

Covariance

Example 5

Example 6

Variance-Covariance of Sums of Random Variables

Example 9

Regression Equations

Simple Linear Regression

Example 1

Example 2

Coefficient of Determination

Properties of Least Squares Estimators

Example 3

Partition of Total Variability and Estimation of Sigma

Slope Paremeter

Test for Slope Parameter

Confidence Interval for Slope Parameter

Example 2

Introduction

Anova Test Procedure

Decision Step of the Test

Example 1

Example 2

Example 3

Multivariate Distributions 1

Multivariate Distributions 2

Multivariate Distributions 3

Multivariate Distributions 4

Multivariate Distributions 5

Multivariate Distributions 6

Multivariate Distributions 7

Multivariate Distributions 8

Multivariate Distributions 9

Simple Linear Regression 1

Simple Linear Regression 2

Simple Linear Regression 3

Simple Linear Regression 4

Simple Linear Regression 5

Simple Linear Regression 6

Simple Linear Regression 7

Simple Linear Regression 8

Simple Linear Regression 9