- 1.2.10: Consider the strength data for beams given in Example1.2.a. Constru...
- 1.2.11: The accompanying specific gravity values for variouswood types used...
- 1.2.12: The accompanying summary data on CeO2 particlesizes (nm) under cert...
- 1.2.13: Allowable mechanical properties for structural designof metallic ae...
- 1.2.14: The accompanying data set consists of observationson shower-flow ra...
- 1.2.15: Do running times of American movies differ somehowfrom running time...
- 1.2.16: The article cited in Example 1.2 also gave the accompanyingstrength...
- 1.2.17: The accompanying data came from a study of collusion inbidding with...
- 1.2.18: Every corporation has a governing board of directors.The number of ...
- 1.2.19: The number of contaminating particles on a silicon waferprior to a ...
- 1.2.20: The article Determination of Most RepresentativeSubdivision (J. of ...
- 1.2.21: The article cited in Exercise 20 also gave the followingvalues of t...
- 1.2.22: How does the speed of a runner vary over the course ofa marathon (a...
- 1.2.23: The article Statistical Modeling of the Time Courseof Tantrum Anger...
- 1.2.24: The accompanying data set consists of observationson shear strength...
- 1.2.25: A transformation of data values by means of somemathe matical funct...
- 1.2.26: Automated electron backscattered diffraction is nowbeing used in th...
- 1.2.27: The article Study on the Life Distribution ofMicrodrills (J. of Eng...
- 1.2.28: The accompanying frequency distribution on depositedenergy (mJ) was...
- 1.2.29: The following categories for type of physical activityinvolved when...
- 1.2.30: A Pareto diagram is a variation of a histogram forcategorical data ...
- 1.2.31: The cumulative frequency and cumulative relative frequency for a pa...
- 1.2.32: Fire load (MJ/m2) is the heat energy that could bereleased per squa...
Solutions for Chapter 1.2: Pictorial and Tabular Methods inDescriptive Statistics
Full solutions for Probability and Statistics for Engineering and the Sciences | 9th Edition
Solutions for Chapter 1.2: Pictorial and Tabular Methods inDescriptive StatisticsGet Full Solutions
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
The joint probability distribution of two random variables.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The mean of the conditional probability distribution of a random variable.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
A probability distribution for a continuous random variable.
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).
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 off-diagonal elements rij are the correlations between Xi and Xj .
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A property of a collection of events that indicates that their union equals the sample space.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
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.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function