 11.1: auto Fatalities The table below lists auto fatalities by day of the...
 11.2: Measuring Weights When certain quantities are measured, the last di...
 11.3: WeatherRelated Deaths Listed below are the numbers of weatherrela...
 11.4: Bicycle Helmets A study was conducted of 531 persons injured in bic...
 11.5: Flipping and Spinning Pennies Use the data in the table below with ...
 11.6: Home Field advantage Winningteam data were collected for teams in ...
 11.7: Car Weight and Fuel Consumption Data Set 14 in Appendix B includes ...
 11.8: Probability and Honesty Based on the sample described in the preced...
Solutions for Chapter 11: ChiSquare and Analysis of Variance
Full solutions for Essentials of Statistics  5th Edition
ISBN: 9780321924599
Solutions for Chapter 11: ChiSquare and Analysis of Variance
Get Full SolutionsThis textbook survival guide was created for the textbook: Essentials of Statistics, edition: 5. Since 8 problems in chapter 11: ChiSquare and Analysis of Variance have been answered, more than 14432 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Essentials of Statistics was written by and is associated to the ISBN: 9780321924599. Chapter 11: ChiSquare and Analysis of Variance includes 8 full stepbystep solutions.

`error (or `risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).

aerror (or arisk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

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.

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.

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.

Confounding
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.

Conidence coeficient
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.

Correlation matrix
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 offdiagonal elements rij are the correlations between Xi and Xj .

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.

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

Discrete random variable
A random variable with a inite (or countably ininite) range.

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.

Exhaustive
A property of a collection of events that indicates that their union equals the sample space.

Exponential random variable
A series of tests in which changes are made to the system under study

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

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

Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.

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 .