- 4.7.95E: Suppose that X is a binomial random variable with n =200 and p=0.4 ...
- 4.7.96E: Suppose that X is a Poisson random variable With = 6(a) Compute the...
- 4.7.97E: Suppose that X has a Poisson distribution with a mean of 64. Approx...
- 4.7.98E: The manufacturing of semiconductor chips produces 2% defective chip...
- 4.7.99E: There were 49.7 million people with some type of long-lasting condi...
- 4.7.100E: Phoenix water is provided to approximately 1.4 million people who a...
- 4.7.101E: An electronic office product contains 5000 electronic components. A...
- 4.7.102E: A corporate Web site contains errors on 50 of 1000 pages. If 100 pa...
- 4.7.103E: Suppose that the number of asbestos particles in a sample of 1 squa...
- 4.7.104E: A high-volume printer produces minor print-quality errors on a test...
- 4.7.105E: Hits to a high-volume Web site are assumed to follow a Poisson dist...
- 4.7.106E: An acticle in Biometrics [“Integrative Analysis of Transcriptomic a...
- 4.7.107E: An article in Atmospheric Chemistry and Physics [“Relationship Betw...
- 4.7.108E: A set of 200 independent patients take antiacid medication at the s...
- 4.7.109E: Among homeowners in a metropolitan area, 75% recycle plastic bottle...
- 4.7.110E: Cabs pass your workplace according to a Poisson process with a mean...
- 4.7.111E: The number of (large) inclusions in cast iron follows a Poisson dis...
Solutions for Chapter 4.7: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
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.
Coeficient of determination
See R 2 .
The variance of the conditional probability distribution of a random variable.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
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.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.
Discrete random variable
A random variable with a inite (or countably ininite) range.
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).
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
A study in which a sample from a population is used to make inference to the population. See Analytic study
Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
A series of tests in which changes are made to the system under study
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
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.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
Fraction defective control chart
See P chart
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .