- 6.3.1E: Integrated circuits consist of electric channels that are etched on...
- 6.3.2E: The article "HIV-positive Smokers Considering Quitting: Differences...
- 6.3.3E: Do bathroom scales tend to underestimate a person’s true weight? A ...
- 6.3.4E: The article “Evaluation of Criteria for Setting Speed Limits on Gra...
- 6.3.5E: In a survey of 500 residents in a certain town, 274 said they were ...
- 6.3.6E: The article "Application of Surgical Navigation to Total Hip Arthro...
- 6.3.7E: In a sample of 150 households in a certain city, 110 had high-speed...
- 6.3.8E: A grinding machine will be qualified for a particular task if it ca...
- 6.3.9E: Let A and B represent two variants (alleles) of the DNA at a certai...
- 6.3.10E: Refer to Exercise 1 in Section 5.2. Can it be concluded that less t...
- 6.3.11E: Refer to Exercise 2 in Section 5.2. Can it be concluded that more t...
- 6.3.12E: The following MINITAB output presents the results of a hypothesis t...
- 6.3.13E: The following MINITAB output presents the results of a hypothesis t...
Solutions for Chapter 6.3: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
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 qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
A distribution with two modes
Bivariate normal distribution
The joint distribution of two normal random variables
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.
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.
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.
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.
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.
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 .
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.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
Another name for a probability density function
A matrix that provides the tests that are to be conducted in an experiment.
A study in which a sample from a population is used to make inference to the population. See Analytic study
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
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 .