- 8-6.1: Weekly Earnings for Leisure and Hospitality Workers The average wee...
- 8-6.2: One-Way Airfares The average one-way airfare from Pittsburgh to Was...
- 8-6.3: IRS Audits The IRS examined approximately 1% of individual tax retu...
- 8-6.4: Canoe Trip Times The average time it takes a person in a one-person...
- 8-6.5: Working at Home Workers with a formal arrangement with their employ...
- 8-6.6: Newspaper Reading Times A survey taken several years ago found that...
- 8-6.7: What is meant by the power of a test?
- 8-6.8: How is the power of a test related to the type II error?
- 8-6.9: How can the power of a test be increased?
Solutions for Chapter 8-6: Additional Topics Regarding Hypothesis Testing
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th 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 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.
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.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
Formulas used to determine the number of elements in sample spaces and events.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
A subset of effects in a fractional factorial design that deine the aliases in the design.
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.
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.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
Exponential random variable
A series of tests in which changes are made to the system under study
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 .