- 6.7.1: Exact Value and Approximation Refer to Figure 6-21 in Example 2, an...
- 6.7.2: Continuity correction In a preliminary test of the MicroSort method...
- 6.7.3: Notation The SAT test uses multiple-choice test questions, each wit...
- 6.7.4: checking Requirement The SAT test uses multiple-choice test questio...
- 6.7.5: Using Normal Approximation. In Exercises 58, do the following: If t...
- 6.7.6: Using Normal Approximation. In Exercises 58, do the following: If t...
- 6.7.7: Using Normal Approximation. In Exercises 58, do the following: If t...
- 6.7.8: Using Normal Approximation. In Exercises 58, do the following: If t...
- 6.7.9: Voters. In Exercises 912, use a normal approximation to find the pr...
- 6.7.10: Voters. In Exercises 912, use a normal approximation to find the pr...
- 6.7.11: Voters. In Exercises 912, use a normal approximation to find the pr...
- 6.7.12: Voters. In Exercises 912, use a normal approximation to find the pr...
- 6.7.13: Tennis Replay In the year that this exercise was written, there wer...
- 6.7.14: Tennis Replay Repeat the preceding exercise after changing the assu...
- 6.7.15: Mendelian Genetics When Mendel conducted his famous genetics experi...
- 6.7.16: Dream Job In a Marist College poll of 1004 adults, 291 chose profes...
- 6.7.17: XSORT Gender Selection MicroSorts XSORT gender-selection technique ...
- 6.7.18: Washing Hands Based on observed males using public restrooms, 85% o...
- 6.7.19: Voters lying? In a survey of 1002 people, 701 said that they voted ...
- 6.7.20: cell Phones and Brain cancer In a study of 420,095 cell phone users...
- 6.7.21: Smoking Based on a recent Harris Interactive survey, 20% of adults ...
- 6.7.22: Smoking Repeat the preceding exercise after changing the results so...
- 6.7.23: Online TV In a Comcast survey of 1000 adults, 17% said that they wa...
- 6.7.24: Internet Access Of U.S. households, 67% have Internet access (based...
- 6.7.25: Decision Theory Marc Taylor plans to place 200 bets of $5 each on a...
- 6.7.26: Overbooking a Boeing 767-300 A Boeing 767-300 aircraft has 213 seat...
Solutions for Chapter 6.7: Normal as Approximation to Binomial
Full solutions for Essentials of Statistics | 5th Edition
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
See Arithmetic mean.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
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.
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
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
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.
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Another name for a cumulative distribution function.
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
The variance of an error term or component in a model.
Estimate (or point estimate)
The numerical value of a point estimator.
A property of a collection of events that indicates that their union equals the sample space.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
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.