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# Solutions for Chapter 7: The Practice of Statistics 4th Edition ## Full solutions for The Practice of Statistics | 4th Edition

ISBN: 9781429245593 Solutions for Chapter 7

Solutions for Chapter 7
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##### ISBN: 9781429245593

Chapter 7 includes 7 full step-by-step solutions. Since 7 problems in chapter 7 have been answered, more than 9044 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. The Practice of Statistics was written by and is associated to the ISBN: 9781429245593. This textbook survival guide was created for the textbook: The Practice of Statistics, edition: 4.

Key Statistics Terms and definitions covered in this textbook
• 2 k factorial experiment.

A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

• Arithmetic mean

The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

• Bivariate normal distribution

The joint distribution of two normal random variables

• Categorical data

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

• Chi-square (or chi-squared) random variable

A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.

• Coeficient of determination

See R 2 .

• Conditional variance.

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

• Continuous distribution

A probability distribution for a continuous random variable.

• Continuous uniform random variable

A continuous random variable with range of a inite interval and a constant probability density function.

• 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).

• 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 off-diagonal elements rij are the correlations between Xi and Xj .

• Critical region

In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

• Deming

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

• Density function

Another name for a probability density function

• Fraction defective

In statistical quality control, that portion of a number of units or the output of a process that is defective.

• Frequency distribution

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

• Gamma function

A function used in the probability density function of a gamma random variable that can be considered to extend factorials

• Gaussian distribution

Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

• Generator

Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

• 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 .

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