- 7.2.1E: Each month for several months, the average number temperature in °C...
- 7.2.2E: In a study of the relationship between the Brinell hardness (x) and...
- 7.2.3E: A least-squares line is fit to a set of points. If the total sum of...
- 7.2.4E: A least-squares line is fit to a set of points. If the total sum of...
- 7.2.5E: In Galton's height data (Figure 7.1, in Section 7.1), the least-squ...
- 7.2.6E: In a study relating the degree of warping, in mm, of a copper plate...
- 7.2.7E: Moisture content in percent by volume (x) and conductivity in mS/m ...
- 7.2.8E: The following table presents shear strengths (in kN/mm) and weld di...
- 7.2.11E: An agricultural scientist planted alfalfa on several plots of land,...
- 7.2.12E: Curing times in days (x) and compressive strengths in MPa (y) were ...
- 7.2.13E: Varying amounts of pectin were added to canned jellies, to study th...
- 7.2.15E: A simple random sample of 100 men aged 25-34 averaged 70 inches in ...
- 7.2.16E: A mixture of sucrose and water was heated on a hot plate, and the t...
Solutions for Chapter 7.2: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
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 equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
Coeficient of determination
See R 2 .
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
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.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
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
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
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.
A subset of effects in a fractional factorial design that deine the aliases in the design.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Another name for a probability density function
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).
Error of estimation
The difference between an estimated value and the true value.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.