- 7.1: Eight chemical elements do not have isotopes (different forms of th...
- 7.2: Vacation Days A U.S. Travel Data Center survey reported that Americ...
- 7.3: Spending for Postage A researcher wishes to estimate within $25 the...
- 7.4: Shopping Survey Arandom sample of 49 shoppers showed that they spen...
- 7.5: Lengths of Childrens Animated Films The lengths (in minutes) of a r...
- 7.6: Dog Bites to Postal Workers For a certain urban area, in a sample o...
- 7.7: Presidential Travel In a survey of 1004 individuals, 442 felt that ...
- 7.8: Vacation Sites A U.S. Travel Data Centers survey of 1500 adults fou...
- 7.9: Emergency Room Accidents In a study of 200 accidents that required ...
- 7.10: A local county has a very active adult education venue. A random sa...
- 7.11: Health Insurance Coverage for Children A federal report stated that...
- 7.12: Child Care Programs Astudy found that 73% of prekindergarten childr...
- 7.13: Baseball Diameters The standard deviation of the diameter of 18 bas...
- 7.14: MPGfor Lawn Mowers Arandom sample of 22 lawn mowers was selected, a...
- 7.15: Lifetimes of Snowmobiles A random sample of 15 snowmobiles was sele...
- 7.16: Length of Childrens Animated Films Use the data from Exercise 5 to ...
- 7.17: Burglaries For a certain urban area, it was found that in a sample ...
- 7.18: Hours Spent Studying Auniversity dean wishes to estimate the averag...
- 7.19: Money Spent on Road Repairs A researcher wishes to estimate within ...
- 7.20: Political Survey A political analyst found that 43% of 300 Republic...
- 7.21: Emergency Room Accidents In a study of 150 accidents that required ...
- 7.22: Television Set Ownership Asurvey of 90 families showed that 40 owne...
- 7.23: Skipping Lunch Anutritionist wishes to determine, within 3%, the tr...
- 7.24: Novel Pages A sample of 25 novels has a standard deviation of 9 pag...
- 7.25: Truck Safety Check Find the 90% confidence interval for the varianc...
- 7.26: Automobile Pollution A sample of 20 automobiles has a pollution by-...
Solutions for Chapter 7: Review Execises
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
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
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
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.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
Coeficient of determination
See R 2 .
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 tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A probability distribution for a continuous random variable.
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 .
Formulas used to determine the number of elements in sample spaces and events.
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
Another name for factors that are arranged in a factorial experiment.
A probability distribution for a discrete random variable
Another name for a cumulative distribution function.
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.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
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