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# Solutions for Chapter 15: Simulation, Bootstrap Statistical Methods, and Permutation Tests ## Full solutions for Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

ISBN: 9780123948113 Solutions for Chapter 15: Simulation, Bootstrap Statistical Methods, and Permutation Tests

Solutions for Chapter 15
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##### ISBN: 9780123948113

Since 16 problems in chapter 15: Simulation, Bootstrap Statistical Methods, and Permutation Tests have been answered, more than 8214 students have viewed full step-by-step solutions from this chapter. Introduction to Probability and Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780123948113. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Introduction to Probability and Statistics for Engineers and Scientists, edition: 5. Chapter 15: Simulation, Bootstrap Statistical Methods, and Permutation Tests includes 16 full step-by-step solutions.

Key Statistics Terms and definitions covered in this textbook
• Alternative hypothesis

In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

• Arithmetic mean

The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

• Backward elimination

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

• C chart

An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.

• Coeficient of determination

See R 2 .

• Conditional probability mass function

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

• Continuous distribution

A probability distribution for a continuous random variable.

• Cook’s distance

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.

• Covariance matrix

A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

• Curvilinear regression

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

• Defect

Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

• Defects-per-unit control chart

See U chart

• Designed experiment

An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

• Discrete uniform random variable

A discrete random variable with a inite range and constant probability mass function.

• Distribution free method(s)

Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).

• Distribution function

Another name for a cumulative distribution function.

• Estimate (or point estimate)

The numerical value of a point estimator.

• First-order model

A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model

• Fisher’s least signiicant difference (LSD) method

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

• Fraction defective

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

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