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# Solutions for Chapter 3.4: Measures of Relative Standing and Boxplots

## Full solutions for Elementary Statistics | 12th Edition

ISBN: 9780321836960

Solutions for Chapter 3.4: Measures of Relative Standing and Boxplots

Solutions for Chapter 3.4
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##### ISBN: 9780321836960

Summary of Chapter 3.4: Measures of Relative Standing and Boxplots

This expansive textbook survival guide covers the following chapters and their solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Chapter 3.4: Measures of Relative Standing and Boxplots includes 65 full step-by-step solutions. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since 65 problems in chapter 3.4: Measures of Relative Standing and Boxplots have been answered, more than 536265 students have viewed full step-by-step solutions from this chapter.

Key Statistics Terms and definitions covered in this textbook
• -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).

• a-error (or a-risk)

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

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).

• Average run length, or ARL

The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

• Chi-square test

Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

• Conditional mean

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

• Conidence level

Another term for the conidence coeficient.

• Continuous random variable.

A random variable with an interval (either inite or ininite) of real numbers for its range.

• Critical value(s)

The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

• Cumulative distribution function

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

• Deming

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

• Deming’s 14 points.

A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality

• Discrete random variable

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

• Enumerative study

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

• Error of estimation

The difference between an estimated value and the true value.

• Error variance

The variance of an error term or component in a model.

• F distribution.

The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.

• Frequency distribution

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

• Gamma random variable

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

• 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