- 12.1.1E: Exercise 11.1 described a regression model between percent of body ...
- 12.1.2E: A class of 63 students has two hourly exams and a final exam. How w...
- 12.1.3E: Can the percentage of the workforce who are engineers in each U.S. ...
- 12.1.4E: Hsuie, Ma, and Tsai (‘‘Separation and Characterizations of Thermotr...
- 12.1.5E: A study was performed to investigate the shear strength of soil (y)...
- 12.1.6E: A regression model is to be developed for predicting the ability of...
- 12.1.8E: You have fit a multiple linear regression model and the (X’_X)?1 ma...
- 12.1.9E: The data from a patient satisfaction survey in a hospital are in Ta...
- 12.1.10E: The electric power consumed each month by a chemical plant is thoug...
- 12.1.11E: Table E12-3 provides the highway gasoline mileage test results for ...
- 12.1.12E: The pull strength of a wire bond is an important characteristic. Ta...
- 12.1.13E: An engineer at a semiconductor company wants to model the relations...
- 12.1.14E: Heat treating is often used to carburize metal parts such as gears....
- 12.1.15E: An article in Electronic Packaging and Production (2002, Vol. 42) c...
- 12.1.16E: An article in Cancer Epidemiology, Biomarkers and Prevention (1996,...
- 12.1.17E: An article in IEEE Transactions on Instrumentation and Measurement ...
- 12.1.18E: An article in Biotechnology Progress (2001, Vol. 17, pp. 366–368) r...
- 12.1.19E: An article in Optical Engineering [“Operating Curve Extraction of a...
- 12.1.20E: An article in Technometrics (1974, Vol. 16, pp. 523–531) considered...
- 12.1.21E: Table E12-11 presents quarterback ratings for the 2008 National Foo...
- 12.1.22E: Table E12-12 presents statistics for the National Hockey League tea...
Solutions for Chapter 12.1: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).
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
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
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.
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
The variance of the conditional probability distribution of a random variable.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
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
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 subset of a sample space.
In statistical quality control, that portion of a number of units or the output of a process that is defective.