- 2.2.11: A mutual fund company offers its customers a varietyof funds: a mon...
- 2.2.12: Consider randomly selecting a student at a large university,and let...
- 2.2.13: A computer consulting firm presently has bids out on threeprojects....
- 2.2.14: Suppose that 55% of all adults regularly consume coffee,45% regular...
- 2.2.15: Consider the type of clothes dryer (gas or electric) purchasedby ea...
- 2.2.16: An individual is presented with three different glasses ofcola, lab...
- 2.2.17: Let A denote the event that the next request for assistancefrom a s...
- 2.2.18: A wallet contains five $10 bills, four $5 bills, and six$1bills (no...
- 2.2.19: Human visual inspection of solder joints on printed circuitboards c...
- 2.2.20: A certain factory operates three different shifts. Over thelast yea...
- 2.2.21: An insurance company offers four different deductible levelsnone, l...
- 2.2.22: The route used by a certain motorist in commuting towork contains t...
- 2.2.23: The computers of six faculty members in a certain departmentare to ...
- 2.2.24: Show that if one event A is contained in another event B(i.e., A is...
- 2.2.25: The three most popular options on a certain type of newcar are a bu...
- 2.2.26: A certain system can experience three different types ofdefects. Le...
- 2.2.27: An academic department with five faculty membersAnderson, Box, Cox,...
- 2.2.28: In Exercise 5, suppose that any incoming individual isequally likel...
Solutions for Chapter 2.2: Axioms, Interpretations, and Properties of Probability
Full solutions for Probability and Statistics for Engineering and the Sciences | 9th Edition
Solutions for Chapter 2.2: Axioms, Interpretations, and Properties of ProbabilityGet Full Solutions
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
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).
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
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.
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.
A subset of effects in a fractional factorial design that deine the aliases in the design.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
The amount of variability exhibited by data
Another name for a cumulative distribution function.
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
A property of a collection of events that indicates that their union equals the sample space.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
A series of tests in which changes are made to the system under study
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.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.