- 5.5.1E: In a test of the effect of dampness on electric connections, 100 el...
- 5.5.2E: The specification for the pull strength of a wire that connects an ...
- 5.5.3E: Angioplasty is a medical procedure in which an obstructed blood ves...
- 5.5.4E: A group of 50 computer science students were taught introductory co...
- 5.5.5E: Crash testing is a highly expensive procedure to evaluate the abili...
- 5.5.6E: The article “Occurrence and Distribution of Ammonium in Iowa Ground...
- 5.5.7E: In a study of contamination at landfills containing construction an...
- 5.5.8E: The article “Case Study Based Instruction of DOE and SPC” (J. Brady...
- 5.5.9E: A mobile computer network consists of a number of computers (called...
- 5.5.10E: The article “Evaluation of Criteria for Setting Speed Limits on Gra...
- 5.5.11E: In a certain year, there were 80 days with measurable snowfall in D...
Solutions for Chapter 5.5: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
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
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
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
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
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.
The probability of an event given that the random experiment produces an outcome in another event.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
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.
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.
A subset of effects in a fractional factorial design that deine the aliases in the design.
A probability distribution for a discrete random variable
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).
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
In statistical quality control, that portion of a number of units or the output of a process that is defective.
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .