Solutions for Chapter 2: Random Variables and Their Event Spaces
Full solutions for Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd Edition
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).
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.
See Arithmetic mean.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
A probability distribution for a continuous random variable.
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
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 concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
A matrix that provides the tests that are to be conducted in an experiment.
A probability distribution for a discrete random variable
Another name for a cumulative distribution function.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A subset of a sample space.
A property of a collection of events that indicates that their union equals the sample space.
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.
Fraction defective control chart
See P chart
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 .
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