 9.9.1: An experiment was conducted to study the effects of temperature and...
 9.9.2: To ascertain the stability of vitamin C in reconstituted frozen ora...
 9.9.3: Three strains of rats were studied under 2 environmental conditions...
 9.9.4: Corrosion fatigue in metals has been defined as the simultaneous ac...
 9.9.5: To determine which muscles need to be subjected to a conditioning p...
 9.9.6: An experiment was conducted to determine whether additives increase...
 9.9.7: The extraction rate of a certain polymer is known to depend on the ...
 9.9.8: In Myers, Montgomery, and AndersonCook (2009), a scenario is discu...
 9.9.9: An engineer is interested in the effects of cutting speed and tool ...
 9.9.10: Two factors in a manufacturing process for an integrated circuit ar...
 9.9.11: A study was done to determine the impact of two factors, method of ...
 9.9.12: In an experiment conducted in the Civil Engineering Department at V...
 9.9.13: In Myers, Classical and Modern Regression with Applications (1990),...
 9.9.14: Consider the data set in Exercise 9.12 and answer the following que...
 9.9.15: The purpose of the study The Incorporation of a Chelating Agent int...
 9.9.16: Consider an experimental situation involving factors A, B, and C, w...
 9.9.17: The data provided are measurements from an experiment conducted usi...
 9.9.18: The method of Xray fluorescence is an important analytical tool fo...
 9.9.19: Corrosion fatigue in metals has been defined as the simultaneous ac...
 9.9.20: For a study of the hardness of gold dental fillings, five randomly ...
 9.9.21: Electronic copiers make copies by gluing black ink on paper, using ...
 9.9.22: Consider the data set in Exercise 9.21. Construct an interaction pl...
 9.9.23: Consider combinations of three factors in the removal of dirt from ...
 9.9.24: A scientist collects experimental data on the radius of a propellan...
 9.9.25: In the book Design of Experiments for the Quality Improvement, publ...
 9.9.26: The Statistics Consulting Center at Virginia Tech was involved in a...
 9.9.27: An experiment was conducted in the Department of Food Science at Vi...
 9.9.28: A study was made to determine if humidity conditions have an effect...
 9.9.29: Personnel in the Materials Engineering Department at Virginia Tech ...
 9.9.30: In the experiment of Review Exercise 9.26, cake volume was also use...
 9.9.31: A control valve needs to be very sensitive to the input voltage, th...
 9.9.32: Exercise 9.25 on page 419 describes an experiment involving the ext...
 9.9.33: In the book SNRatio for the Quality Evaluation, published by the J...
 9.9.34: The manufacturer of a certain brand of freezedried coffee hopes to ...
 9.9.35: To ascertain the number of tellers needed during peak hours of oper...
Solutions for Chapter 9: Factorial Experiments (Two or More Factors)
Full solutions for Essentials of Probability & Statistics for Engineers & Scientists  1st Edition
ISBN: 9780321783738
Solutions for Chapter 9: Factorial Experiments (Two or More Factors)
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 9: Factorial Experiments (Two or More Factors) includes 35 full stepbystep solutions. Essentials of Probability & Statistics for Engineers & Scientists was written by and is associated to the ISBN: 9780321783738. Since 35 problems in chapter 9: Factorial Experiments (Two or More Factors) have been answered, more than 15118 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Essentials of Probability & Statistics for Engineers & Scientists, edition: 1.

Alternative hypothesis
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

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

Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

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

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.

Categorical data
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

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.

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

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

Control chart
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the incontrol value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be incontrol, or free from assignable causes. Points beyond the control limits indicate an outofcontrol process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

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.

Density function
Another name for a probability density 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.

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Fraction defective control chart
See P chart

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.

Frequency distribution
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on