Probability and Statistics for Engineers and Scientists 4th Edition - Solutions by Chapter

In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain

A distribution with two modes

A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

The joint probability distribution of two random variables.

A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

The probability density function of the conditional probability distribution of a continuous random variable.

The probability mass function of the conditional probability distribution of a discrete random variable.

A continuous random variable with range of a inite interval and a constant probability density function.

In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.

An expression sometimes used for nonlinear regression models or polynomial regression models.

A random variable with a inite (or countably ininite) range.

A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.

A signal from a control chart when no assignable causes are present

A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.

In statistical quality control, that portion of a number of units or the output of a process that is defective.

The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .