 15.1: Reconsider the situation described in Exercise 34 of Section8.2, an...
 15.2: Here again is the data on expense ratio (%) for a sample of20 large...
 15.3: The accompanying data is a subset of the data reported in thearticl...
 15.4: A random sample of 15 automobile mechanics certified towork on a ce...
 15.5: Both a gravimetric and a spectrophotometric method are underconside...
 15.6: Reconsider the situation described in Exercise 39 of Section 9.3,an...
 15.7: Use the largesample version of the Wilcoxon test at significancele...
 15.8: Reconsider the port alcohol content data from Exercise14.22. A norm...
 15.9: Suppose that observations are made on aprocess at times . On the ba...
 15.10: In an experiment to compare the bond strength of two differentadhes...
 15.11: The article A Study of Wood Stove Particulate Emissions(J. of the A...
 15.12: A modification has been made to the process for producinga certain ...
 15.13: The accompanying data resulted from an experiment tocompare the eff...
 15.14: The article Multimodal Versus Unimodal Instruction in aComplex Lear...
 15.15: The article Measuring the Exposure of Infants to TobaccoSmoke (New ...
 15.16: Reconsider the situation described in Exercise 81 ofChapter 9 and t...
 15.17: The article The Lead Content and Acidity ofChristchurch Precipitati...
 15.18: Compute the 99% signedrank interval for true averagepH m (assuming...
 15.19: An experiment was carried out to compare the abilities oftwo differ...
 15.20: The following observations are amounts of hydrocarbonemissions resu...
 15.21: Compute the 90% ranksum CI for using the datain Exercise 10.
 15.22: Compute a 99% CI for using the data inExercise 11.
 15.23: The accompanying data refers to concentration of theradioactive iso...
 15.24: The article Production of Gaseous Nitrogen in HumanSteadyState Con...
 15.25: The accompanying data on cortisol level was reported in thearticle ...
 15.26: In a test to determine whether soil pretreated with smallamounts of...
 15.27: In an experiment to study the way in which different anestheticsaff...
 15.28: The article Effects of a RiceRich Versus PotatoRich Dieton Glucos...
 15.29: Highpressure sales tactics or doortodoor salespeople canbe quite...
 15.30: The given data on phosphorus concentration in topsoil for fourdiffe...
 15.31: Refer to the data of Exercise 30 and compute a 95% CI forthe differ...
 15.32: The study reported in Gait Patterns During Free ChoiceLadder Ascent...
 15.33: The sign test is a very simple procedure for testing hypothesesabou...
 15.34: Refer to Exercise 33, and consider a confidence intervalassociated ...
 15.35: Suppose we wish to testH0: the X and Y distributions are identicalv...
 15.36: The ranking procedure described in Exercise 35 is somewhatasymmetri...
Solutions for Chapter 15: DistributionFree Procedures
Full solutions for Probability and Statistics for Engineering and the Sciences  8th Edition
ISBN: 9780538733526
Solutions for Chapter 15: DistributionFree Procedures
Get Full SolutionsChapter 15: DistributionFree Procedures includes 36 full stepbystep solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Since 36 problems in chapter 15: DistributionFree Procedures have been answered, more than 26619 students have viewed full stepbystep solutions from this chapter. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780538733526.

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

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.

Backward elimination
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

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.

Conidence level
Another term for the conidence coeficient.

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Continuous distribution
A probability distribution for a continuous random variable.

Contour plot
A twodimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

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 .

Critical region
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

Deining relation
A subset of effects in a fractional factorial design that deine the aliases in the design.

Discrete random variable
A random variable with a inite (or countably ininite) range.

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.

Gaussian distribution
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function

Hat matrix.
In multiple regression, the matrix H XXX X = ( ) ? ? 1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .