 54.1: Use the multinomial formula and find the probabilities for each. a....
 54.2: Firearm Sales When people were asked if they felt that the laws cov...
 54.3: M&M Color Distribution According to the manufacturer, M&Ms are prod...
 54.4: Truck Inspection Violations The probabilities are 0.50, 0.40, and 0...
 54.5: Rolling a Die A die is rolled 4 times. Find the probability of two ...
 54.6: Mendels Theory According to Mendels theory, if tall and colorful pl...
 54.7: Find each probability P(X; l), using Table C in Appendix C. a. P(5;...
 54.8: Copy Machine Output A copy machine randomly puts out 10 blank sheet...
 54.9: Study of Robberies A recent study of robberies for a certain geogra...
 54.10: Misprints on Manuscript Pages In a 400page manuscript, there are 2...
 54.11: Telephone Soliciting A telephone soliciting company obtains an aver...
 54.12: Mail Ordering A mailorder company receives an average of 5 orders ...
 54.13: Company Mailing Of a companys mailings 1.5% are returned because of...
 54.14: Emission Inspection Failures If 3% of all cars fail the emissions i...
 54.15: Phone Inquiries The average number of phone inquiries per day at th...
 54.16: Defective Calculators In a batch of 2000 calculators, there are, on...
 54.17: School Newspaper Staff A school newspaper staff is comprised of 5 s...
 54.18: Missing Pages from Books A bookstore owner examines 5 books from ea...
 54.19: Types of CDs A CD case contains 10 jazz albums, 4 classical albums,...
 54.20: Defective Computer Keyboards A shipment of 24 computer keyboards is...
 54.21: Defective Electronics A shipment of 24 electric typewriters is reje...
Solutions for Chapter 54: Other Types of Distributions (Optional)
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed.  8th Edition
ISBN: 9780073386102
Solutions for Chapter 54: Other Types of Distributions (Optional)
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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

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

Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

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

Conidence level
Another term for the conidence coeficient.

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Correction factor
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 .

Correlation
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.

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).

Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.

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

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

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

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

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.