- SE4.SE4.1: [10 10 5] Assume the commuting time X (in minutes) of a student has...
- SE4.SE4.5: [10 10 5] Assume that the time X (in milliseconds) it takes a read/...
- SE4.SE4.10: [15 10] The reaction time X (in seconds) to a certain stimulus is a...
- SE4.SE4.15: [15 5] The daily demand for gasoline (in thousands of gallons) at a...
- SE4.SE4.20: [15 10] Let (X, Y ) be a pair of random variables with P(X 2, Y 0) ...
- SE4.SE4.2: [10 10 10] The daily demand (in thousands of gallons) X for gas at ...
- SE4.SE4.6:  The breakdown voltage of a randomly chosen diode ofa certain ...
- SE4.SE4.11: [10 10] Assume that the time X (in milliseconds) it takes a read/ w...
- SE4.SE4.16: [10 10] The weight distribution (in lb) of parcels sent in a certai...
- SE4.SE4.21: [15 10] Jim and Paula agreed to meet for lunch. Assume that Jims ar...
- SE4.SE4.3: 25 miles per gallon; (iii) get between 25 and 30 miles per gallon. ...
- SE4.SE4.7: [5 5 5] Suppose that 10% of all steel shafts produced by a certain ...
- SE4.SE4.12: [10 10] The breakdown voltage of a randomly chosen diode of a certa...
- SE4.SE4.17: [15 5] Peter and Ann agreed to meet for lunch. Assume that the arri...
- SE4.SE4.22: [15 10] Jim and Paula agreed to meet for lunch. Assume that Jims ar...
- SE4.SE4.4:  Statistics show that 40% of drivers in a certain groupare a g...
- SE4.SE4.8: [15 5] A system consists of two identical components operating inde...
- SE4.SE4.13: b. Whats the latest she can leave her home and yet guarantee a prob...
- SE4.SE4.18: [15 5] The system consisting of two components works as long as bot...
- SE4.SE4.23: [15 10] Two problems are given in a quiz. The time it takes a rando...
- SE4.SE4.9: [10 10] The daily demand for a certain product is a random variable...
- SE4.SE4.14: [10 10] The time X (in hours) it takes auto mechanic A to complete ...
- SE4.SE4.19: [15 5] The time it takes an instructor to grade an exam paper is a ...
Solutions for Chapter SE4: Sample Exams
Full solutions for Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition
2 k p - factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
See Arithmetic mean.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Coeficient of determination
See R 2 .
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
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.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
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.
A matrix that provides the tests that are to be conducted in an experiment.
Discrete random variable
A random variable with a inite (or countably ininite) range.
Error of estimation
The difference between an estimated value and the true value.
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.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.