- 6.8.1E: The article “Improved Bioequivalence Assessment of Topical Dermatol...
- 6.8.2E: The article “Estimation of Mean Arterial Pressure from the Oscillom...
- 6.8.3E: A dry etch process is used to etch silicon dioxide (Si02) off of si...
- 6.8.4E: In an experiment to determine the effect of ambient temperature on ...
- 6.8.5E: Two formulations of a certain coating, designed to inhibit corrosio...
- 6.8.6E: Two microprocessors are compared on a sample of six benchmark codes...
- 6.8.7E: The compressive strength, in kilopascals, was measured for concrete...
- 6.8.8E: The article "Effect of Granular Subbase Thickness on Airfield Pavem...
- 6.8.9E: A crossover trial is a type of experiment used to compare two drugs...
- 6.8.10E: A group of eight individuals with high cholesterol levels were give...
- 6.8.11E: The management of a taxi cab company is trying to decide if they sh...
- 6.8.12E: The following MINITAB output presents the results of a hypothesis t...
- 6.8.13E: The following MINITAB output presents the results of a hypothesis t...
Solutions for Chapter 6.8: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
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.
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.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
The probability of an event given that the random experiment produces an outcome in another event.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Another name for factors that are arranged in a factorial experiment.
A subset of effects in a fractional factorial design that deine the aliases in the design.
A probability distribution for a discrete random variable
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
The variance of an error term or component in a model.
Fraction defective control chart
See P chart