 5.1.1E: Define and give three examples of a random variable.
 5.1.2E: Explain the difference between a discrete and a continuous random v...
 5.1.3E: Give three examples of a discrete random variable.
 5.1.4E: Give three examples of a continuous random variable.
 5.1.6E: What is a probability distribution? Give an example.
 5.1.7E: determine whether the distribution represents a probability distrib...
 5.1.8E: determine whether the distribution represents a probability distrib...
 5.1.10E: determine whether the distribution represents a probability distrib...
 5.1.12E: determine whether the distribution represents a probability distrib...
 5.1.13E: state whether the variable is discrete or continuous.The number of ...
 5.1.14E: state whether the variable is discrete or continuous.The number of ...
 5.1.15E: state whether the variable is discrete or continuous.The weight of ...
 5.1.16E: state whether the variable is discrete or continuous.The time it ta...
 5.1.17E: state whether the variable is discrete or continuous.The number of ...
 5.1.18E: state whether the variable is discrete or continuous.The blood pres...
 5.1.19E: construct a probability distribution for the data and draw a graph ...
 5.1.20E: construct a probability distribution for the data and draw a graph ...
 5.1.21E: construct a probability distribution for the data and draw a graph ...
 5.1.22E: construct a probability distribution for the data and draw a graph ...
 5.1.23E: construct a probability distribution for the data and draw a graph ...
 5.1.24E: construct a probability distribution for the data and draw a graph ...
 5.1.25E: construct a probability distribution for the data and draw a graph ...
 5.1.26E: construct a probability distribution for the data and draw a graph ...
 5.1.31EC: write the distribution for the formula anddeterminewhether it is a ...
 5.1.32EC: write the distribution for the formula anddeterminewhether it is a ...
 5.1.33EC: write the distribution for the formula anddeterminewhether it is a ...
 5.1.34EC: write the distribution for the formula and determine whether it is ...
 5.1.35EC: write the distribution for the formula and determine whether it is ...
 5.1.36EC: write the distribution for the formula and determine whether it is ...
Solutions for Chapter 5.1: Elementary Statistics: A Step By Step Approach 9th Edition
Full solutions for Elementary Statistics: A Step By Step Approach  9th Edition
ISBN: 9780073534985
Solutions for Chapter 5.1
Get Full SolutionsThis textbook survival guide was created for the textbook: Elementary Statistics: A Step By Step Approach , edition: 9th. Chapter 5.1 includes 29 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Elementary Statistics: A Step By Step Approach was written by Sieva Kozinsky and is associated to the ISBN: 9780073534985. Since 29 problems in chapter 5.1 have been answered, more than 59692 students have viewed full stepbystep solutions from this chapter.

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

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

Bayesâ€™ theorem
An equation for a conditional probability such as PA B (  ) in terms of the reverse conditional probability PB A (  ).

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

Block
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.

Causal variable
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

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

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.

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).

Decision interval
A parameter in a tabular CUSUM algorithm that is determined from a tradeoff between false alarms and the detection of assignable causes.

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

Error of estimation
The difference between an estimated value and the true value.

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

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

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

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

Fraction defective control chart
See P chart

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

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.