- 6.3.1: Integrated circuits consist of electric channels that are etched on...
- 6.3.2: The article HIV-positive Smokers Considering Quitting: Differences ...
- 6.3.3: Do bathroom scales tend to underestimate a persons true weight? A 1...
- 6.3.4: The article Evaluation of Criteria for Setting Speed Limits on Grav...
- 6.3.5: The article Evaluation of Criteria for Setting Speed Limits on Grav...
- 6.3.6: The article Application of Surgical Navigation to Total Hip Arthrop...
- 6.3.7: In a sample of 150 households in a certain city, 110 had high-speed...
- 6.3.8: A grinding machine will be qualified for a particular task if it ca...
- 6.3.9: Let A and B represent two variants (alleles) of the DNA at a certai...
- 6.3.10: Refer to Exercise 1 in Section 5.2. Can it be concluded that less t...
- 6.3.11: Refer to Exercise 2 in Section 5.2. Can it be concluded that more t...
- 6.3.12: The following MINITAB output presents the results of a hypothesis t...
- 6.3.13: The following MINITAB output presents the results of a hypothesis t...
Solutions for Chapter 6.3: Tests for a Population Proportion
Full solutions for Statistics for Engineers and Scientists | 4th Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
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.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
Another term for the conidence coeficient.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
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
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Another name for a cumulative distribution function.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.