- 12.1: Lengths of Various Types of Bridges The data represent the lengths ...
- 12.2: Number of State Parks The numbers of state parks found in selected ...
- 12.3: Carbohydrates in Cereals The number of carbohydrates per serving in...
- 12.4: Grams of Fat per Serving of Pizza The number of grams of fat per se...
- 12.5: Iron Content of Foods and Drinks The iron content in three differen...
- 12.6: Temperatures in January The average January high temperatures (in d...
- 12.7: School Incidents Involving Police Calls A researcher wishes to see ...
- 12.8: Review Preparation for Statistics A statistics instructor wanted to...
- 12.9: Effects of Different Types of Diets Amedical researcher wishes to t...
- 12.10: If the null hypothesis is rejected in ANOVA, the test should be use...
- 12.11: In a two-way ANOVA, you can test main hypotheses and one interactiv...
- 12.12: Voters in Presidential Elections In a recent Presidential election,...
- 12.13: Ages of Late-Night TV Talk Show Viewers A media researcher wanted t...
- 12.14: Prices of Body Soap A consumer group desired to compare the mean pr...
- 12.15: Air Pollution A lot of different factors contribute to air pollutio...
- 12.16: Alumni Gift Solicitation Several students volunteered for an alumni...
- 12.17: Diets and Exercise Programs A researcher conducted a study of two d...
Solutions for Chapter 12: Review Execises
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th 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 statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
Bivariate normal distribution
The joint distribution of two normal random variables
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
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 mean of the conditional probability distribution of a random variable.
The variance of the conditional probability distribution of a random variable.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
See Control chart.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .
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