- 5.1: Statistical Literacy What are the requirements for a probability di...
- 5.2: Statistical Literacy List the criteria for a binomial experiment. W...
- 5.3: Critical Thinking For a binomial probability distribution, it is un...
- 5.4: Critical Thinking Consider a binomial experiment. If the number of ...
- 5.5: Probability Distribution: Auto Leases Consumer Banker Association r...
- 5.6: Ecology: Predator and Prey Isle Royale, an island in Lake Superior,...
- 5.7: Insurance: Auto State Farm Insurance studies show that in Colorado,...
- 5.8: Quality Control: Pens A stationery store has decided to accept a la...
- 5.9: Criminal Justice: Inmates According to Harpers Index, 50% of all fe...
- 5.10: Airlines: On-Time Arrivals Consumer Reports rated airlines and foun...
- 5.11: Agriculture: Grapefruit It is estimated that 75% of a grapefruit cr...
- 5.12: Restaurants: Reservations The Orchard Caf has found that about 5% o...
- 5.13: College Life: Student Government The student government claims that...
- 5.14: Quota Problem: Financial Suppose you are a (junk) bond broker who b...
- 5.15: Theater: Coughs A person with a cough is a persona non grata on air...
- 5.16: Accident Rate: Small Planes Flying over the western states with mou...
- 5.17: Banking: Loan Defaults Records over the past year show that 1 out o...
- 5.18: Car Theft: Hawaii In Hawaii, the rate of motor vehicle theft is 551...
- 5.19: General: Coin Flip An experiment consists of tossing a coin a speci...
- 5.20: Testing: CPA Exam Cathy is planning to take the Certified Public Ac...
Solutions for Chapter 5: The Binomial Probability Distribution and Related Topics
Full solutions for Understandable Statistics | 9th Edition
Solutions for Chapter 5: The Binomial Probability Distribution and Related TopicsGet Full Solutions
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
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
A distribution with two modes
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
The probability of an event given that the random experiment produces an outcome in another event.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Another name for factors that are arranged in a factorial experiment.
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.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
The variance of an error term or component in a model.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
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.