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# Solutions for Chapter 6: Random Variables

## Full solutions for The Practice of Statistics | 5th Edition

ISBN: 9781464108730

Solutions for Chapter 6: Random Variables

Solutions for Chapter 6
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##### ISBN: 9781464108730

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: The Practice of Statistics, edition: 5. Chapter 6: Random Variables includes 22 full step-by-step solutions. Since 22 problems in chapter 6: Random Variables have been answered, more than 35372 students have viewed full step-by-step solutions from this chapter. The Practice of Statistics was written by and is associated to the ISBN: 9781464108730.

Key Statistics Terms and definitions covered in this textbook
• a-error (or a-risk)

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

• 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

• Categorical data

Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

• Central tendency

The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

• Chance cause

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.

• Chi-square (or chi-squared) random variable

A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.

• Conditional probability

The probability of an event given that the random experiment produces an outcome in another event.

• Continuity correction.

A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

• Continuous random variable.

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

• Correlation matrix

A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .

• Cumulative sum control chart (CUSUM)

A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

• 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.

• Defect concentration diagram

A quality tool that graphically shows the location of defects on a part or in a process.

• Defects-per-unit control chart

See U chart

• Density function

Another name for a probability density function

• Erlang random variable

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

• Error mean square

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

• Error of estimation

The difference between an estimated value and the true value.

• Error variance

The variance of an error term or component in a model.

• Extra sum of squares method

A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

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