# Solutions for Chapter 14-3: Sampling and Simulation ## Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition

ISBN: 9780073534978 Solutions for Chapter 14-3: Sampling and Simulation

Solutions for Chapter 14-3
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##### ISBN: 9780073534978

This expansive textbook survival guide covers the following chapters and their solutions. Since 32 problems in chapter 14-3: Sampling and Simulation have been answered, more than 13409 students have viewed full step-by-step solutions from this chapter. Chapter 14-3: Sampling and Simulation includes 32 full step-by-step solutions. Elementary Statistics: A Step by Step Approach was written by and is associated to the ISBN: 9780073534978. This textbook survival guide was created for the textbook: Elementary Statistics: A Step by Step Approach, edition: 7.

Key Statistics Terms and definitions covered in this textbook

A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

• Asymptotic relative eficiency (ARE)

Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

• Bivariate normal distribution

The joint distribution of two normal random variables

• Coeficient of determination

See R 2 .

• Conditional variance.

The variance of the conditional probability distribution of a random variable.

• Continuous random variable.

A random variable with an interval (either inite or ininite) of real numbers for its range.

• Contour plot

A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

• Decision interval

A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.

• Discrete distribution

A probability distribution for a discrete random variable

• Dispersion

The amount of variability exhibited by data

• Error mean square

The error sum of squares divided by its number of degrees of freedom.

• Error propagation

An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

• F distribution.

The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.

• False alarm

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

• Forward selection

A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

• Fraction defective

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

• Fractional factorial experiment

A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

• Gamma function

A function used in the probability density function of a gamma random variable that can be considered to extend factorials

• Geometric mean.

The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .

• Geometric random variable

A discrete random variable that is the number of Bernoulli trials until a success occurs.

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