PROBABILITY & STATISTICS • Applied Statistics and Probability for Engineers - Montgomery & Runger • Final

Z Table

T Table

Chi Square Table

F Table

Sample Mean

Sample Variance

Central Limit Theorem

Z Distribution

Chi Square Distribution

T Distribution

F Distribution

Point Estimation

Unbiased Estimators

Example 1

Variance of an Estimator

Method of Moments

Example 2

Example 3

Method of Maximum Likelihood

Example 4

Example 5

Interval Estimation

Table Values

Confidence Interval on Mean when Sigma is Known

Confidence Interval on Mean when Sigma is Unknown

Confidence Interval on Variance and Std. Deviation

Confidence Interval for a Proportion

Prediction Interval for a Future Observation

Tolerance Interval for a Normal Population

Point Estimation of Parameters and Sampling Distributions 1

Point Estimation of Parameters and Sampling Distributions 2

Point Estimation of Parameters and Sampling Distributions 3

Point Estimation of Parameters and Sampling Distributions 4

Point Estimation of Parameters and Sampling Distributions 5

Point Estimation of Parameters and Sampling Distributions 6

Point Estimation of Parameters and Sampling Distributions 7

Point Estimation of Parameters and Sampling Distributions 8

Statistical Intervals of a Single Sample 1

Statistical Intervals of a Single Sample 2

Statistical Intervals of a Single Sample 3

Statistical Intervals of a Single Sample 4

Statistical Intervals of a Single Sample 5

Statistical Intervals of a Single Sample 6

Statistical Intervals of a Single Sample 7

Statistical Intervals of a Single Sample 8

Statistical Intervals of a Single Sample 9

Statistical Intervals of a Single Sample 10

Hypothesis Testing

General Procedure

Hypotheses Tests on the Mean

Hypotheses Tests on Proportion

Hypotheses Tests on Variance and Standard Deviation

Goodness of Fit Test

Categorical Data

Confidence Interval on Difference Between Means when Sigma is Known

Confidence Interval on Difference Between Means when Sigma is Unknown

Hypotheses Tests on Difference of Two Means

Paired T-test

Confidence Interval on Difference Between Proportions

Hypotheses Tests on Difference of Two Proportions

Confidence Interval on the Ratio of Two Variances

Hypotheses Tests for Ratio of Two Variances

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

Example 1

Errors in Multiple Linear Regression

Coefficients in Multiple Linear Regression

Tests for Significance of Regression

Tests for Individual Regression Coefficient

Coefficient of Determination

Example 2

Example 3

Tests of Hypotheses for a Single Sample 1

Tests of Hypotheses for a Single Sample 2

Tests of Hypotheses for a Single Sample 3

Tests of Hypotheses for a Single Sample 4

Tests of Hypotheses for a Single Sample 5

Tests of Hypotheses for a Single Sample 6

Tests of Hypotheses for a Single Sample 7

Tests of Hypotheses for a Single Sample 8

Statistical Inference for Two Samples 1

Statistical Inference for Two Samples 2

Statistical Inference for Two Samples 3

Statistical Inference for Two Samples 4

Statistical Inference for Two Samples 5

Statistical Inference for Two Samples 6

Statistical Inference for Two Samples 7

Statistical Inference for Two Samples 8

Statistical Inference for Two Samples 9

Simple Linear Regression and Correlation 1

Simple Linear Regression and Correlation 2

Simple Linear Regression and Correlation 3

Simple Linear Regression and Correlation 4

Simple Linear Regression and Correlation 5

Simple Linear Regression and Correlation 6

Multiple Linear Regression 1

Multiple Linear Regression 2