- 13.4.11 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.12 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.13 BB: Using the Mann-Whitney UTest The Mann-Whitney Utest is equivalent t...
- 13.4.14 BB: Finding Critical Values Assume that we have two treatments (A and B...
- 13.4.1 BSC: Arrival Delay Times Example 2 in this section used samples of depar...
- 13.4.2 BSC: Rank Sum After ranking the combined list of 24 arrival delay times,...
- 13.4.3 BSC: What Are We Testing? Refer to the sample data in Exercise. Assuming...
- 13.4.4 BSC: Efficiency Refer to Table 13-2 in Section 13-1 and identify the eff...
- 13.4.5 BSC: use the Wilcoxon rank-sum test.Arrival Delay Times Use the sample d...
- 13.4.6 BSC: use the Wilcoxon rank-sum test.Taxi-Out Times Listed below are samp...
- 13.4.7 BSC: use the Wilcoxon rank-sum test.Clinical Trials of Lipitor The sampl...
- 13.4.8 BSC: use the Wilcoxon rank-sum test.Radiation in Baby Teeth Listed below...
- 13.4.9 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.10 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.1BSC: Arrival Delay Times ?Example 2 in this section used samples of depa...
- 13.4.2BSC: Rank Sum ?After ranking the combined list of 24 arrival delay times...
- 13.4.3BSC: What Are We Testing? ?Refer to the sample data in Exercise. Assumin...
- 13.4.4BSC: Efficiency ?Refer to Table 13-2 in Section 13-1 and identify the ef...
- 13.4.5BSC: use the Wilcoxon rank-sum test. Arrival Delay Times Use the sample ...
- 13.4.6BSC: use the Wilcoxon rank-sum test. Taxi-Out Times ?Listed below are sa...
- 13.4.7BSC: use the Wilcoxon rank-sum test. Clinical Trials of Lipitor ?The sam...
- 13.4.8BSC: use the Wilcoxon rank-sum test. Radiation in Baby Teeth ?Listed bel...
- 13.4.9BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.11BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.12BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.13BB: Using the Mann-Whitney UTest ?The Mann-Whitney ?U?test is equivalen...
- 13.4.14BB: Finding Critical Values ?Assume that we have two treatments (A and ...
Solutions for Chapter 13.4: Elementary Statistics 12th Edition
Full solutions for Elementary Statistics | 12th Edition
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.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
See Arithmetic mean.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
A distribution with two modes
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
The joint probability distribution of two random variables.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
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.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
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 .
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
Exponential random variable
A series of tests in which changes are made to the system under study
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.
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.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r