Modern Engineering Statistics (1st Edition) –
Solutions Manual
Sample - answers a set of data collected and/or selected from a statistical population by
a defined procedure
Statistic - answers The branch of mathematics dealing with numerical data.
Population - answers The entire pool from which a statistical sample is drawn.
Parameter - answers any numerical quantity that characterizes a given population or
some aspect of it
Categorical - answers a variable that can take on one of a limited, and usually fixed,
number of possible values, thus assigning each individual to a particular group or
"category."
Quantitative - answers data expressing a certain quantity, amount or range
Discrete - answers variables whose possible values are a subset of the integers, such
as Social Security numbers, the number of people in a family, ages rounded to the
nearest year, etc
Continuous - answers a variable that can take on any value between its minimum value
and its maximum value
Descriptive - answers data set which can either be a representation of the entire
population or a sample
Inferential - answers used to make generalizations from a sample to a population.
Measures of Central Tendency - answers Mean, Median, and Mode
Measures of Variability - answers extent to which these data points differ from each
other
Skew - answers measure of the asymmetry of the probability distribution
Empirical Rule - answers also known as the three-sigma rule or the 68-95-99.7 rule,
provides a quick estimate of the spread of data in a normal distribution given the mean
and standard deviation. Specifically, the empirical rule states that for a normal
distribution
Central Limit Theorem - answers A statistical theory that states that given a sufficiently
large sample size from a population with a finite level of variance, the mean of all
, samples from the same population will be approximately equal to the mean of the
population
Probability - answers distribution is a table or an equation that links each outcome of a
statistical experiment with its probability of occurrence. Consider a simple experiment in
which we flip a coin two times. An outcome of the experiment might be the number of
heads that we see in two coin flips.
Event - answers some subset of outcomes from the sample space
Complement - answers The complement of an event is the event not occuring
Disjoint - answers Two events are disjoint(mutually exclusive) if they cannot occur at the
same time
Intersection - answers The intersection of two sets is the set of elements that belong to
both sets
Union - answers Opposite of intersection
Independent - answers means that the occurrence of one does not affect the probability
of the other
Conditional Probability - answers the probability of an event occurring given that another
event has already occurred is called a
Mutually Exclusive - answers A statistical term used to describe a situation where the
occurrence of one event is not influenced or caused by another event
Contingency - answers is a type of table in a matrix format that displays the frequency
distribution of the variables
Tables - answers Where the set of data is placed to be easily viewed
Distribution(Types) - answers Normal, Standard, Binomial, Poisson, Exponential, Chi
Squared and F.
Probability Mass Function - answers a function that gives the probability that a discrete
random variable is exactly equal to some value
Probability Density Function - answers
Cumulative Distribution Function - answers describes the probability that a real-valued
random variable X with a given probability distribution will be found to have a value less
than or equal to x
Solutions Manual
Sample - answers a set of data collected and/or selected from a statistical population by
a defined procedure
Statistic - answers The branch of mathematics dealing with numerical data.
Population - answers The entire pool from which a statistical sample is drawn.
Parameter - answers any numerical quantity that characterizes a given population or
some aspect of it
Categorical - answers a variable that can take on one of a limited, and usually fixed,
number of possible values, thus assigning each individual to a particular group or
"category."
Quantitative - answers data expressing a certain quantity, amount or range
Discrete - answers variables whose possible values are a subset of the integers, such
as Social Security numbers, the number of people in a family, ages rounded to the
nearest year, etc
Continuous - answers a variable that can take on any value between its minimum value
and its maximum value
Descriptive - answers data set which can either be a representation of the entire
population or a sample
Inferential - answers used to make generalizations from a sample to a population.
Measures of Central Tendency - answers Mean, Median, and Mode
Measures of Variability - answers extent to which these data points differ from each
other
Skew - answers measure of the asymmetry of the probability distribution
Empirical Rule - answers also known as the three-sigma rule or the 68-95-99.7 rule,
provides a quick estimate of the spread of data in a normal distribution given the mean
and standard deviation. Specifically, the empirical rule states that for a normal
distribution
Central Limit Theorem - answers A statistical theory that states that given a sufficiently
large sample size from a population with a finite level of variance, the mean of all
, samples from the same population will be approximately equal to the mean of the
population
Probability - answers distribution is a table or an equation that links each outcome of a
statistical experiment with its probability of occurrence. Consider a simple experiment in
which we flip a coin two times. An outcome of the experiment might be the number of
heads that we see in two coin flips.
Event - answers some subset of outcomes from the sample space
Complement - answers The complement of an event is the event not occuring
Disjoint - answers Two events are disjoint(mutually exclusive) if they cannot occur at the
same time
Intersection - answers The intersection of two sets is the set of elements that belong to
both sets
Union - answers Opposite of intersection
Independent - answers means that the occurrence of one does not affect the probability
of the other
Conditional Probability - answers the probability of an event occurring given that another
event has already occurred is called a
Mutually Exclusive - answers A statistical term used to describe a situation where the
occurrence of one event is not influenced or caused by another event
Contingency - answers is a type of table in a matrix format that displays the frequency
distribution of the variables
Tables - answers Where the set of data is placed to be easily viewed
Distribution(Types) - answers Normal, Standard, Binomial, Poisson, Exponential, Chi
Squared and F.
Probability Mass Function - answers a function that gives the probability that a discrete
random variable is exactly equal to some value
Probability Density Function - answers
Cumulative Distribution Function - answers describes the probability that a real-valued
random variable X with a given probability distribution will be found to have a value less
than or equal to x
