- 5.4.1: Notation In a clinical trial of the cholesterol drug Lipitor, 270 s...
- 5.4.2: Standard Deviation For the binomial distribution described by the c...
- 5.4.3: Variance An Office Team survey of 150 executives found that 93.3% o...
- 5.4.4: Why a Parameter? Given the results described in Exercise 3, is the ...
- 5.4.5: Finding M, S, and Unusual Values. In Exercises 58, assume that a pr...
- 5.4.6: Finding M, S, and Unusual Values. In Exercises 58, assume that a pr...
- 5.4.7: Finding M, S, and Unusual Values. In Exercises 58, assume that a pr...
- 5.4.8: Finding M, S, and Unusual Values. In Exercises 58, assume that a pr...
- 5.4.9: Gender Selection In a test of the YSORT method of gender selection,...
- 5.4.10: Mendelian Genetics When Mendel conducted his famous genetics experi...
- 5.4.11: Are 20% of M&M Candies Orange? Mars, Inc. claims that 20% of its M&...
- 5.4.12: Are 14% of M&M Candies Yellow? Mars, Inc. claims that 14% of its M&...
- 5.4.13: Cell Phones and Brain Cancer In a study of 420,095 cell phone users...
- 5.4.14: Test of Touch Therapy Nine-year-old Emily Rosa conducted this test:...
- 5.4.15: Deciphering Messages The Central Intelligence Agency has specialist...
- 5.4.16: Deciphering Messages The Central Intelligence Agency has specialist...
- 5.4.17: Too Young to Tat Based on a Harris poll of 370 adults who regret ge...
- 5.4.18: Roulette If you place a bet on the number 7 in roulette, you have a...
- 5.4.19: Born on the 4th of July For the following questions, ignore leap ye...
- 5.4.20: Powerball Lottery As of this writing, the Powerball lottery is run ...
- 5.4.21: Finding n, p, q In a survey of randomly selected adults, subjects w...
- 5.4.22: Acceptable , Defective Products A new integrated circuit board is b...
- 5.4.23: Hypergeometric Distribution A statistics class consists of 10 femal...
Solutions for Chapter 5.4: Parameters for Binomial Distributions
Full solutions for Essentials of Statistics | 5th Edition
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
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
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 two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
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 .
Another name for factors that are arranged in a factorial experiment.
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
A probability distribution for a discrete random variable
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
A series of tests in which changes are made to the system under study
A signal from a control chart when no assignable causes are present
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
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.