- SE5.SE5.1: [15 10] To compare the unknown proportions p1 and p2 of steel shaft...
- SE5.SE5.5: [15 10] Of n1 randomly selected male smokers, X1 smoked filter ciga...
- SE5.SE5.9: [15 10] In a group of n1 randomly selected patients treated for a c...
- SE5.SE5.2: [15 10] The following sample of size n 9 was drawn from a populatio...
- SE5.SE5.6: [10 10 5] Let (x1,..., xn ) be a sample from a population with pdf ...
- SE5.SE5.10: [10 10 5] Let (x1,..., xn ) be a sample from a population with pdf ...
- SE5.SE5.3: [10 15] Let (x1,..., xn) be a sample from a population with pdf 3 x...
- SE5.SE5.7: a. Find the estimator of by the method of moments and show that it ...
- SE5.SE5.11: [15 10] The following sample of size n 7 was drawn from a populatio...
- SE5.SE5.4: [10 15] Let x1,..., xn be a sample from a population with pdf f(x; ...
- SE5.SE5.8: [10 15] Let (x1,..., xn ) be a sample from a population with pdf ( ...
- SE5.SE5.12: [15 10] The following sample of size n 7 was drawn from a populatio...
Solutions for Chapter SE5: Sample Exams
Full solutions for Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition
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.
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
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.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
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.
Coeficient of determination
See R 2 .
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
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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).
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
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
The amount of variability exhibited by data
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Another name for a cumulative distribution function.
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.
In statistical quality control, that portion of a number of units or the output of a process that is defective.