 10.10.1.1: Suppose that x =11 is an observation from a B(32, p) random variabl...
 10.10.1.2: Suppose that x =21 is an observation from a B(27, p) random variabl...
 10.10.1.3: A randomnumber generator is supposed to produce a sequence of 0s a...
 10.10.1.4: Anewradarsystemisbeingdevelopedtodetectpackages dropped by airplane...
 10.10.1.5: Two experiments are performed. In the rst experiment a sixsided di...
 10.10.1.6: If 21 6s are obtained from 100 rolls of a die, should the null hypo...
 10.10.1.7: A court holds jurisdiction over ve counties, and the juries are req...
 10.10.1.8: In trials of a medical screening test for a particular illness, 23 ...
 10.10.1.9: Suppose that you wish to nd a population proportion p with accuracy...
 10.10.1.10: Suppose that you wish to nd a population proportion p with accuracy...
 10.10.1.11: In experimental bioengineering trials, a successful outcome was ach...
 10.10.1.12: A manufacturer receives a shipment of 100,000 computer chips. A ran...
 10.10.1.13: A glass tube is designed to withstand a pressure differential of 1....
 10.10.1.14: An audit of a federal assistance program implemented after a major ...
 10.10.1.15: A city councilor asks your advice on how many householders should b...
 10.10.1.16: In a particular day, 22 out of 542 visitors to a website followed a...
 10.10.1.17: Sometimes the following alternative way of constructing a twosided...
 10.10.1.18: The dielectric breakdown strength of an electrical insulator is den...
 10.10.1.19: Out of a random sample of 210 parts produced on a production line, ...
 10.10.1.20: A random sample of 38 wheelchair users were asked whether they pref...
 10.10.1.21: A newspaper reported the results of a political poll about which ca...
 10.10.1.22: It is claimed that no more than 4 out of 10 small businesses have a...
 10.10.2.1: Suppose that x =14 is an observation from a B(37, pA) random variab...
 10.10.2.2: Suppose that x = 261 is an observation from a B(302, pA) random var...
 10.10.2.3: Suppose that the abilities of two new radar systems to detect packa...
 10.10.2.4: Die A is rolled 50 times and a 6 isscored 4 times, while a 6 is obt...
 10.10.2.5: In an experiment to determine the best conditions to produce suitab...
 10.10.2.6: A new drug is being compared with a standard drug for treating a pa...
 10.10.2.7: A company has two production lines for constructing television sets...
 10.10.2.8: In experimental bioengineering trials, a successful outcome was ach...
 10.10.2.9: A manufacturing company has to choose between two potential supplie...
 10.10.2.10: An audit of a federal assistance program implemented after a major ...
 10.10.2.11: Two scanning machines are compared. When 185 items were scanned wit...
 10.10.2.12: Recall from 10.1.16 that in a particular day, 22 out of 542 visitor...
 10.10.2.13: Consider again 10.1.18 where 62 insulators of a certain type were t...
 10.10.2.14: A group of 250 patients was randomly split into two groups of 125 p...
 10.10.2.15: A company is performing a failure analysis for two of its products....
 10.10.2.16: A condence interval is obtained for the difference between two prob...
 10.10.3.1: DS 10.3.1 gives the results of n =500 die rolls. (a) What are the e...
 10.10.3.2: DS 10.3.2 presents a data set on the number of rolls of a die requi...
 10.10.3.3: Tire Sales A garage sells tires of types A, B, and C, and the owner...
 10.10.3.4: Jury Selection A court has jurisdiction over ve counties, and of th...
 10.10.3.5: Infection Recovery DS 10.3.5 presents a data set compiled from a se...
 10.10.3.6: Taste Tests for Soft Drink Formulations A beverage company has thre...
 10.10.3.7: Hospital Emergency Room Operation DS 10.3.7 gives a data set of the...
 10.10.3.8: Radioactive Particle Emissions DS 10.3.8 gives a data set of the nu...
 10.10.3.9: Genetic Variations in Plants In a biological experiment a large qua...
 10.10.3.10: Each of 205 consumers was asked to choose which of three products t...
 10.10.3.11: Chemical Solution Acidities The acidity of a chemical solution can ...
 10.10.3.12: An experiment was performed to investigate how long batteries remai...
 10.10.3.13: Shark Attacks The data set in DS 10.3.10 shows the number of shark ...
 10.10.3.14: A survey is performed to test the claim that three brands of a prod...
 10.10.3.15: In a contingency table analysis using the Pearson goodness of t sta...
 10.10.4.1: Circuit Board Quality A computer manufacturer has four suppliers of...
 10.10.4.2: Fertilizer Comparisons Seedlings are grown without fertilizer or wi...
 10.10.4.3: Taste Tests for Soft Drink Formulations DS 10.4.3 gives the results...
 10.10.4.4: Electric Motor Quality Tests A factory has ve production lines that...
 10.10.4.5: Customer Satisfaction Surveys An airconditioner supplier employs f...
 10.10.4.6: Show that for a 22 contingency table the Pearson chisquare statist...
 10.10.4.7: Clinical Trial DS 10.4.6 presents a 22 contingency table that compa...
 10.10.4.8: Reactive Ion Etching in Semiconductor Manufacturing In the manufact...
 10.10.4.9: Consumer Warranty Purchases A companys sales records show that an e...
 10.10.4.10: Asphalt Load Testing An experiment was conducted to compare three t...
 10.10.4.11: In a twoway contingency table analysis: A. The null hypothesis alw...
 10.10.7.1: Crystallization is an important step in the recovery and purication...
 10.10.7.2: A consumer watchdog organization takes a random sample of 500 bags ...
 10.10.7.3: A bank releases a new credit card that is to be targeted at a popul...
 10.10.7.4: Upon checking hospital records, a hospital administrator notices th...
 10.10.7.5: Householders are polled on whether they support a tax increase to b...
 10.10.7.6: Archery Contest Scores DS10.7.1containsadatasetcollectedduringanama...
 10.10.7.7: RushHour Car Accidents DS 10.7.2 gives a data set of the number of...
 10.10.7.8: RandomNumber Generation A randomnumber generator is supposed to p...
 10.10.7.9: Venture Capital A venture capital organization monitors its investm...
 10.10.7.10: Tire Sales A garage sells tires of types A, B, and C, and this year...
 10.10.7.11: Clinical Trial DS 10.7.6 gives the results of a set of clinical tri...
 10.10.7.12: Student Opinion Polls DS 10.7.7 presents the results of an opinion ...
 10.10.7.13: The dimensions of 3877 manufactured parts were examined and 445 wer...
 10.10.7.14: Composite Material Properties In a research report on the effect of...
 10.10.7.15: Chemical Preparation Methods An experiment is performed to investig...
 10.10.7.16: Metal Alloy Comparisons Three types of a metal alloy were investiga...
 10.10.7.17: Company Sales Data A companys orders are classied as coming from ge...
 10.10.7.18: Concrete Breaking Loads An experimenter obtained 84 samples of conc...
 10.10.7.19: Student Opinion Poll When a random sample of 64 male students was a...
 10.10.7.20: Clinical Trial Patients were diagnosed as being either condition A ...
 10.10.7.21: Are the following statements true or false? (a) Contingency tables ...
 10.10.7.22: Customer Satisfaction Surveys In a customer satisfaction survey a r...
 10.10.7.23: Hospital Admission Rates The records at the emergency rooms of ve h...
 10.10.7.24: Scouring Around Bridge Piers After large oods and the consequent la...
 10.10.7.25: In a contingency table analysis using the Pearson chisquare goodne...
 10.10.7.26: In a twoway contingency table analysis: A. The null hypothesis is ...
 10.10.7.27: In a marketing study, a group of volunteers is split into three gro...
 10.10.7.28: A chisquare goodness of t analysis is performed for a twoway cont...
 10.10.7.29: A condence interval is obtained for the difference between two prob...
 10.10.7.30: In a survey, 46 out of 88 business owners expressed optimism about ...
Solutions for Chapter 10: Discrete Data Analysis
Full solutions for Probability and Statistics for Engineers and Scientists  4th Edition
ISBN: 9781111827045
Solutions for Chapter 10: Discrete Data Analysis
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 94 problems in chapter 10: Discrete Data Analysis have been answered, more than 5848 students have viewed full stepbystep solutions from this chapter. Probability and Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9781111827045. Chapter 10: Discrete Data Analysis includes 94 full stepbystep solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and Scientists, edition: 4.

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

Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Bivariate normal distribution
The joint distribution of two normal random variables

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

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.

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

Conidence level
Another term for the conidence coeficient.

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.

Convolution
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.

Correction factor
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 .

Correlation coeficient
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

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.

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Discrete distribution
A probability distribution for a discrete random variable

Empirical model
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Fisher’s least signiicant difference (LSD) method
A series of pairwise hypothesis tests of treatment means in an experiment to determine which means differ.

Harmonic mean
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .
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