 21.1: 1. One sided or two? In each of the following situations,is the alt...
 21.2: 2. Which alternative? In each of the following situations,is the al...
 21.3: 3. Pvalue. A medical researcher tested a new treatment for poison ...
 21.4: 4. Another Pvalue. Have harsher penalties and ad campaigns increas...
 21.5: 5. Alpha. A researcher developing scanners to search for hidden wea...
 21.6: 6. Alpha again. Environmentalists concerned about the impact of hig...
 21.7: 7. Significant? Public health officials believe that 90% of childre...
 21.8: 8. Significant again? A new reading program may reducethe number of...
 21.9: 9. Success. In August 2004, Time magazine reported theresults of a ...
 21.10: 10. Is the Euro fair? Soon after the Euro was introducedas currency...
 21.11: 11. Approval 2007. In May 2007, George W. Bushs approvalrating stoo...
 21.12: 12. Superdads. The Spike network commissioned a telephonepoll of ra...
 21.13: 13. Dogs. Canine hip dysplasia is a degenerative diseasethat causes...
 21.14: 14. Fans. A survey of 81 randomly selected people standingin line t...
 21.15: 15. Loans. Before lending someone money, banks must decidewhether t...
 21.16: 16. Spam. Spam filters try to sort your emails, decidingwhich are ...
 21.17: 17. Second loan. Exercise 15 describes the loan scoremethod a bank ...
 21.18: 18. More spam. Consider again the pointsbased spamfilter described...
 21.19: 19. Homeowners 2005. In 2005 the U.S. Census Bureaureported that 68...
 21.20: 20. Alzheimers. Testing for Alzheimers disease can be along and exp...
 21.21: 21. Testing cars. Aclean air standard requires that vehicleexhaust ...
 21.22: 22. Quality control. Production managers on an assemblyline must mo...
 21.23: 23. Cars again. As in Exercise 21, state regulators arechecking up ...
 21.24: 24. Production. Consider again the task of the quality controlinspe...
 21.25: 25. Equal opportunity? A company is sued for job discriminationbeca...
 21.26: 26. Stop signs. Highway safety engineers test new roadsigns, hoping...
 21.27: 27. Dropouts. A Statistics professor has observed that forseveral y...
 21.28: 28. Ads. Acompany is willing to renew its advertising contractwith ...
 21.29: 29. Dropouts, part II. Initially, 203 students signed up forthe Sta...
 21.30: 30. Testing the ads. The company in Exercise 28 contacts600 people ...
 21.31: 31. Two coins. In a drawer are two coins. They look thesame, but on...
 21.32: 32. Faulty or not? You are in charge of shipping computersto custom...
 21.33: 33. Hoops. A basketball player with a poor foulshotrecord practice...
 21.34: 34. Pottery. An artist experimenting with clay to createpottery wit...
Solutions for Chapter 21: More About Tests and Intervals
Full solutions for Stats: Modeling The World  3rd Edition
ISBN: 9780131359581
Solutions for Chapter 21: More About Tests and Intervals
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Stats: Modeling The World , edition: 3. Since 34 problems in chapter 21: More About Tests and Intervals have been answered, more than 41408 students have viewed full stepbystep solutions from this chapter. Stats: Modeling The World was written by and is associated to the ISBN: 9780131359581. Chapter 21: More About Tests and Intervals includes 34 full stepbystep solutions.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with 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 chisquare with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chisquare random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chisquare random variables.

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

Arithmetic mean
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

Assignable cause
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.

Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

Bimodal distribution.
A distribution with two modes

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare 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

Conditional probability
The probability of an event given that the random experiment produces an outcome in another event.

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Covariance
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 .

Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.

Decision interval
A parameter in a tabular CUSUM algorithm that is determined from a tradeoff between false alarms and the detection of assignable causes.

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.

Eficiency
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.

Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.

Geometric mean.
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 .