- Chapter 1:
- Chapter 10: One- and Two-Sample Tests of Hypotheses
- Chapter 11: Simple Linear Regression and Correlation
- Chapter 12: Multiple Linear Regression and Certain Nonlinear Regression Models
- Chapter 13: One-Factor Experiments: General
- Chapter 14: Factorial Experiments (Two or More Factors)
- Chapter 15: 2k Factorial Experiments and Fractions
- Chapter 16: Nonparametric Statistics
- Chapter 17: Statistical Quality Control
- Chapter 18: Bayesian Statistics
- Chapter 2:
- Chapter 3:
- Chapter 4:
- Chapter 5:
- Chapter 6:
- Chapter 7: Functions of Random Variables (Optional)
- Chapter 8: Fundamental Sampling Distributions and Data Descriptions
- Chapter 9:
Probability and Statistics for Engineers and the Scientists 9th Edition - Solutions by Chapter
Full solutions for Probability and Statistics for Engineers and the Scientists | 9th Edition
Probability and Statistics for Engineers and the Scientists | 9th Edition - Solutions by ChapterGet Full Solutions
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The probability of an event given that the random experiment produces an outcome in another event.
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
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
A probability distribution for a continuous random variable.
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.
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
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
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A subset of a sample space.