- 14.3.1E: An article in Industrial Quality Control (1956, pp. 5–8) describes ...
- 14.3.2E: An engineer suspects that the surface finish of metal parts is infl...
- 14.3.3E: In the book Design and Analysis of Experiments, 8th edition (2012, ...
- 14.3.4E: An experiment was conducted to determine whether either firing temp...
- 14.3.5E: An article in Technometrics [“Exact Analysis of Means with Unequal ...
- 14.3.6E: Johnson and Leone (Statistics and Experimental Design in Engineerin...
- 14.3.7E: An article in the IEEE Transactions on Electron Devices (November 1...
- 14.3.8E: An article in the Journal of Testing and Evaluation (1988, Vol. 16,...
- 14.3.9E: Consider a two-factor factorial experiment. Develop a formula for f...
- 14.3.10E: An article in Journal of Chemical Technology and Biotechnology [“A ...
- 14.3.11E: An article in Bioresource Technology [“Quantitative Response of Cel...
Solutions for Chapter 14.3: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th 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
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.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
A distribution with two modes
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
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 mean of the conditional probability distribution of a random variable.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
Formulas used to determine the number of elements in sample spaces and events.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
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
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Another name for a cumulative distribution function.
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.
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.