- 14-3.1: Monitoring the Minting of Half Dollars A half dollar is considered ...
- 14-3.2: Notation The control chart for Exercise 1 shows a value of p = 0.00...
- 14-3.3: . Control Limits In constructing a control chart for the proportion...
- 14-3.4: Interpreting a Control Chart After constructing a control chart for...
- 14-3.5: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.6: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.7: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.8: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.9: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.10: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.11: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.12: Control Charts for p. In Exercises 512, use the given process data ...
- 14-3.13: np Chart A variation of the control chart for p is the np chart in ...
Solutions for Chapter 14-3: Control Charts for Attributes
Full solutions for Elementary Statistics | 12th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
A distribution with two modes
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Coeficient of determination
See R 2 .
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.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Another name for a probability density function
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
Exponential random variable
A series of tests in which changes are made to the system under study
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.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .