 12.1: A new medicine against hypertension was tested on 18 patients. Afte...
 12.2: An engineering firm is involved in selecting a computer system, and...
 12.3: The published figure for the median systolic blood pressure of midd...
 12.4: To test the hypothesis that the median weight of 16yearold female...
 12.5: In 2004, the national median salary of all U.S. financial accountan...
 12.6: An experiment was initiated to study the effect of a newly develope...
 12.7: Determine the pvalue when using the signed rank statistic in 1 and 2.
 12.8: Twelve patients having high albumin content in their blood were tre...
 12.9: An engineer claims that painting the exterior of a particular aircr...
 12.10: Ten pairs of duplicate spectrochemical determinations for nickel ar...
 12.11: Let X1, . . . , Xn be a sample from the continuous distribution F h...
 12.12: In a study of bilingual coding, 12 bilingual (French and English) c...
 12.13: Fifteen cities, of roughly equal size, are chosen for a traffic saf...
 12.14: Determine the pvalue in by (a) using the normal approximation; (b)...
 12.15: The following are the weights of random samples of adult males from...
 12.16: In a 1943 experiment (Whitlock, H. V., and Bliss, D. H., A bioassay...
 12.17: In a 10year study of the dispersal patterns of beavers (Sun, L. an...
 12.18: The following data give the numbers of people who visit a local hea...
 12.19: A production run of 50 items resulted in 11 defectives, with the de...
 12.20: The following data represent the successive quality levels of 25 ar...
 12.21: Can we use the runs test if we consider whether each data value is ...
 12.22: The following table (taken from Quinn,W.H., Neal, T. V., and Antune...
Solutions for Chapter 12: Nonparametric Hypothesis Tests
Full solutions for Introduction to Probability and Statistics for Engineers and Scientists  5th Edition
ISBN: 9780123948113
Solutions for Chapter 12: Nonparametric Hypothesis Tests
Get Full SolutionsSince 22 problems in chapter 12: Nonparametric Hypothesis Tests have been answered, more than 3058 students have viewed full stepbystep solutions from this chapter. Chapter 12: Nonparametric Hypothesis Tests includes 22 full stepbystep solutions. Introduction to Probability and Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9780123948113. This textbook survival guide was created for the textbook: Introduction to Probability and Statistics for Engineers and Scientists, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

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.

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.

Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability

Bimodal distribution.
A distribution with two modes

Bivariate distribution
The joint probability distribution of two random variables.

Conditional variance.
The variance of the conditional probability distribution of a random variable.

Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

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

Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.

Design matrix
A matrix that provides the tests that are to be conducted in an experiment.

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

Distribution function
Another name for a cumulative distribution function.

Error of estimation
The difference between an estimated value and the true value.

Exhaustive
A property of a collection of events that indicates that their union equals the sample space.

Factorial experiment
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.

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.

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