- 4.6.1E: The lifetime (in days) of a certain electronic component that opera...
- 4.6.2E: The article "Assessment of Dermopharmacokinetic Approach in the Bio...
- 4.6.3E: The body mass index (BMI) of a person is defined to be the person's...
- 4.6.4E: The article "Stochastic Estimates of Exposure and Cancer Risk from ...
- 4.6.5E: If a resistor with resistance R ohms carries a current of I amperes...
- 4.6.6E: Refer to Exercise 5. Suppose 10 circuits are constructed. Find the ...
- 4.6.7E: The article "Withdrawal Strength of Threaded Nails" (D. Rammer, S. ...
- 4.6.8E: Choose the best answer, and explain. If X is a random variable with...
- 4.6.9E: The prices of stocks or other financial instruments are often model...
- 4.6.10E: A manufacturer claims that the tensile strength of a certain compos...
- 4.6.11E: Let X1,...,Xn„ be independent lognormal random variables and let a1...
Solutions for Chapter 4.6: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
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.
The joint probability distribution of two random variables.
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.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
See Control chart.
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.
Another name for factors that are arranged in a factorial experiment.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
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
Defects-per-unit control chart
See U chart
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.