- 4.7.1: Let T Exp(0.45). Find a. T b. 2 T c. P(T > 3) d. The median of T
- 4.7.2: The time between requests to a web server is exponentially distribu...
- 4.7.3: A catalyst researcher states that the diameters, in microns, of the...
- 4.7.4: The distance between flaws on a long cable is exponentially distrib...
- 4.7.5: Refer to Exercise 3. Suppose that the diameters of 10 pores are ind...
- 4.7.6: Someone claims that the waiting time, in minutes, between hits at a...
- 4.7.7: A certain type of component can be purchased new or used. Fifty per...
- 4.7.8: A radioactive mass emits particles according to a Poisson process a...
- 4.7.9: The number of traffic accidents at a certain intersection is though...
- 4.7.10: The distance between consecutive flaws on a roll of sheet aluminum ...
- 4.7.11: A light fixture contains five lightbulbs. The lifetime of each bulb...
Solutions for Chapter 4.7: The Exponential Distribution
Full solutions for Statistics for Engineers and Scientists | 4th Edition
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
The probability of an event given that the random experiment produces an outcome in another event.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
A probability distribution for a continuous random variable.
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.
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 random variable
A random variable with a inite (or countably ininite) range.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
The variance of an error term or component in a model.
Estimate (or point estimate)
The numerical value of a point estimator.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A property of a collection of events that indicates that their union equals the sample space.
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.
A signal from a control chart when no assignable causes are present
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.
In statistical quality control, that portion of a number of units or the output of a process that is defective.