- 5.6.1E: In a study comparing various methods of gold plating, 7 printed cir...
- 5.6.2E: Five specimens of untreated wastewater produced at a gas field had ...
- 5.6.3E: In an experiment involving the breaking strength of a certain type ...
- 5.6.4E: A new post-surgical treatment is being compared with a standard tre...
- 5.6.5E: The article “Differences in Susceptibilities of Different Cell Line...
- 5.6.6E: The article “Tibiofemoral Cartilage Thickness Distribution and its ...
- 5.6.7E: During the spring of 1999, many fuel storage facilities in Serbia w...
- 5.6.8E: The article “Dynamics of Insulin Action in Hypertension: Assessment...
- 5.6.9E: The article “Toward a Lifespan Metric of Reading Fluency” (S. Wallo...
- 5.6.10E: Eight independent measurements were taken of the dissolution rate o...
- 5.6.11E: Measurements of the sodium content in samples of two brands of choc...
- 5.6.12E: The article “Permeability, Diffusion and Solubility of Gases” (B. F...
- 5.6.13E: computer system administrator notices that computers running a part...
- 5.6.14E: In the article “Bactericidal Properties of Flat Surfaces and Nanopa...
- 5.6.15E: The article “Effects of Waste Glass Additions on the Properties and...
Solutions for Chapter 5.6: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th 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.
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
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 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 ( | ).
A distribution with two modes
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
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.
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
Coeficient of determination
See R 2 .
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.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
An expression sometimes used for nonlinear regression models or polynomial regression models.
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.
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.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.