 13.13.1: Six dierent machines are being considered for use in manufacturing ...
 13.13.2: The data in the following table represent the number of hours of re...
 13.13.3: In an article ShelfSpace Strategy in Retailing, published in Proce...
 13.13.4: Immobilization of freeranging whitetailed deer by drugs allows re...
 13.13.5: The mitochondrial enzyme NADPH:NAD transhydrogenase of the common r...
 13.13.6: A study measured the sorption (either absorption or adsorption) rat...
 13.13.7: It has been shown that the fertilizer magnesium ammonium phosphate,...
 13.13.8: For the data set in Exercise 13.7, use Bartletts test to check whet...
 13.13.9: Use Bartletts test at the 0.01 level of signicance to test for homo...
 13.13.10: Use Cochrans test at the 0.01 level of signicance to test for homog...
 13.13.11: Use Bartletts test at the 0.05 level of signicance to test for homo...
 13.13.12: Consider the data of Review Exercise 13.45 on page 555. Make signic...
 13.13.13: The purpose of the study The Incorporation of a Chelating Agent int...
 13.13.14: The study Loss of Nitrogen Through Sweat by Preadolescent Boys Cons...
 13.13.15: Use Tukeys test, with a 0.05 level of signicance, to analyze the me...
 13.13.16: An investigation was conducted to determine the source of reduction...
 13.13.17: In the study An Evaluation of the Removal Method for Estimating Ben...
 13.13.18: The following data are values of pressure (psi) in a torsion spring...
 13.13.19: It is suspected that the environmental temperature at which batteri...
 13.13.20: The following table (from A. Hald, Statistical Theory with Engineer...
 13.13.21: The printout in Figure 13.5 on page 532 gives information on Duncan...
 13.13.22: Do Duncans test for paired comparisons forthe data of Exercise 13.6...
 13.13.23: In a biological experiment, four concentrations of a certain chemic...
 13.13.24: The nancial structure of a rm refers to the way the rms assets are ...
 13.13.25: Four kinds of fertilizer f1,f2,f3, and f4 are used to study the yie...
 13.13.26: Three varieties of potatoes are being compared for yield. The exper...
 13.13.27: The following data are the percents of foreign additives measured b...
 13.13.28: The following data represent the nal grades obtained by 5 students ...
 13.13.29: In a study on The Periphyton of the South River, Virginia: Mercury ...
 13.13.30: A nuclear power facility produces a vast amount of heat, which is u...
 13.13.31: In a study conducted by the Department of Health and Physical Educa...
 13.13.32: Organic arsenicals are used by forestry personnel as silvicides. Th...
 13.13.33: Scientists in the Department of Plant Pathology at Virginia Tech de...
 13.13.34: In the paper SelfControl and Therapist Control in the Behavioral T...
 13.13.35: In the book Design of Experiments for the Quality Improvement, publ...
 13.13.36: An experiment was conducted to compare three types of coating mater...
 13.13.37: Testing patient blood samples for HIV antibodies, a spectrophotomet...
 13.13.38: An experiment is conducted in which 4 treatments are to be compared...
 13.13.39: The following data show the eect of 4 operators, chosen randomly, o...
 13.13.40: Five pours of metals have had 5 core samples each analyzed for the ...
 13.13.41: A textile company weaves a certain fabric on a large number of loom...
 13.13.42: An analysis was conducted by the Statistics Consulting Center at Vi...
 13.13.43: Consider the aggregate data of Example 13.1. Perform Bartletts test...
 13.13.44: Three catalysts are used in a chemical process; a control (no catal...
 13.13.45: Four laboratories are being used to perform chemical analysis. Samp...
 13.13.46: An experiment was designed for personnel in the Department of Anima...
 13.13.47: In a study that was analyzed for personnel in the Department of Bio...
 13.13.48: An experiment was conducted to compare three types of paint for evi...
 13.13.49: A company that stamps gaskets out of sheets of rubber, plastic, and...
 13.13.50: A study is conducted to compare gas mileage for 3 competing brands ...
 13.13.51: Four dierent locations in the northeast were used for collecting oz...
 13.13.52: Show that the mean square errors2 = SSE k(n1) for the analysis of v...
 13.13.53: Prove Theorem 13.2.
 13.13.54: Show that the computing formula for SSB, in the analysis of varianc...
 13.13.55: For the randomized block design with k treatments and b blocks, sho...
 13.13.56: Group Project: It is of interest to determine which type of sports ...
Solutions for Chapter 13: OneFactor Experiments: General
Full solutions for Probability and Statistics for Engineers and the Scientists  9th Edition
ISBN: 9780321629111
Solutions for Chapter 13: OneFactor Experiments: General
Get Full SolutionsSummary of Chapter 13: OneFactor Experiments: General
This material dealing in twosample inference represents a special case of what we call the onefactor problem.
This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since 56 problems in chapter 13: OneFactor Experiments: General have been answered, more than 447650 students have viewed full stepbystep solutions from this chapter. Chapter 13: OneFactor Experiments: General includes 56 full stepbystep solutions. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111.

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

Average
See Arithmetic mean.

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

Bimodal distribution.
A distribution with two modes

Bivariate distribution
The joint probability distribution of two random variables.

Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

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

Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made

Control limits
See Control chart.

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).

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

Defectsperunit control chart
See U chart

Density function
Another name for a probability density function

Estimate (or point estimate)
The numerical value of a point estimator.

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

Firstorder model
A model that contains only irstorder terms. For example, the irstorder response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irstorder model is also called a main effects model

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

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 .

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 .