- 12.5.69E: Consider the gasoline mileage data in Exercise 12-11.(a) What propo...
- 12.5.70E: Consider the electric power consumption data in Exercise 12-10.(a) ...
- 12.5.71E: Consider the regression model for the NFL data in Exercise 12-21.(a...
- 12.5.72E: Consider the regression model for the heat-treating data in Exercis...
- 12.5.73E: Consider the regression model fi t to the X-ray inspection data in ...
- 12.5.74E: Consider the regression model fi t to the arsenic data in Exercise ...
- 12.5.75E: Consider the regression model fi t to the coal and limestone mixtur...
- 12.5.76E: Consider the regression model fit to the nisin extraction data in E...
- 12.5.77E: Consider the regression model fit to the gray range modulation data...
- 12.5.78E: Consider the stack loss data in Exercise 12-20.(a) What proportion ...
- 12.5.79E: Consider the bearing wear data in Exercise 12-23.(a) Find the value...
- 12.5.81E: Consider the semiconductor HFE data in Exercise 12-13.(a) Plot the ...
- 12.5.82E: Consider the regression model for the NHL data from Exercise 12-22....
- 12.5.83E: The diagonal elements of the hat matrix are often used to denote le...
Solutions for Chapter 12.5: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
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.
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
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
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
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).
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
A matrix that provides the tests that are to be conducted in an experiment.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
Exponential random variable
A series of tests in which changes are made to the system under study
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.
In statistical quality control, that portion of a number of units or the output of a process that is defective.
Fraction defective control chart
See P chart
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on