- 6.13.1E: A test has power 0.90 when ? = 15. True or false:a. The probability...
- 6.13.2E: A test has power 0.80 when ? = 3.5. True or false:a. The probabilit...
- 6.13.3E: If the sample size remains the same, and the level a increases, the...
- 6.13.4E: If the level a remains the same, and the sample size increases, the...
- 6.13.5E: A tire company claims that the lifetimes of its tires average 50,00...
- 6.13.6E: A copper smelting process is supposed to reduce the arsenic content...
- 6.13.7E: A power calculation has shown that if ? = 8, the power of a test of...
- 6.13.8E: A new process for producing silicon wafers for integrated circuits ...
- 6.13.9E: The following MINITAB output presents the results of a power calcul...
- 6.13.10E: The following MINITAB output presents the results of a power calcul...
- 6.13.11E: The following MINITAB output presents the results of a power calcul...
Solutions for Chapter 6.13: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
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.
The mean of the conditional probability distribution of a 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.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
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 square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
Another name for factors that are arranged in a factorial experiment.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
The amount of variability exhibited by data
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
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.
A signal from a control chart when no assignable causes are present
Fraction defective control chart
See P chart
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications