 2.3.13: You are given n 5 measurements: 2, 1, 1,3, 5.a. Calculate the sampl...
 2.3.14: Refer to Exercise 2.13.a. Use the data entry method in your scienti...
 2.3.15: 2You are given n 8 measurements: 4, 1, 3, 1, 3,1, 2, 2.a. Find the ...
 2.3.16: You are given n 8 measurements: 3, 1, 5, 6,4, 4, 3, 5.a. Calculate ...
 2.3.17: An Archeological Find, again An article inArchaeometry involved an ...
 2.3.18: Utility Bills in Southern CaliforniaThe monthly utility bills for a...
Solutions for Chapter 2.3: Measures of Variability
Full solutions for Introduction to Probability and Statistics 1  14th Edition
ISBN: 9781133103752
Solutions for Chapter 2.3: Measures of Variability
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.3: Measures of Variability includes 6 full stepbystep solutions. Introduction to Probability and Statistics 1 was written by and is associated to the ISBN: 9781133103752. Since 6 problems in chapter 2.3: Measures of Variability have been answered, more than 10232 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Introduction to Probability and Statistics 1, edition: 14.

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

Addition rule
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

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.

Coeficient of determination
See R 2 .

Conditional mean
The mean 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

Contingency table.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

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.

Cook’s distance
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.

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

Defectsperunit control chart
See U chart

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

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

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

Error mean square
The error sum of squares divided by its number of degrees of freedom.

Experiment
A series of tests in which changes are made to the system under study

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Hat matrix.
In multiple regression, the matrix H XXX X = ( ) ? ? 1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .