- 7.5.1E: Let Y1 < Y2 < Y3 < Y4 < Y5 < Y6 be the order statistics of a random...
- 7.5.2E: For n = 12 year-2007 model sedans whose horsepower is between 290 a...
- 7.5.3E: A sample of n = 9 electrochromic mirrors was used to measure the fo...
- 7.5.4E: Let m denote the median weight of “80-pound” bags of water softener...
- 7.5.5E: A biologist who studies spiders selected a random sample of 20 male...
- 7.5.6E: A company manufactures mints that have a label weight of 20.4 grams...
- 7.5.7E: Here are the weights (in grams) of 25 indicator housings used on ga...
- 7.5.8E: Let p denote the probability that, for a particular tennis player, ...
- 7.5.9E: Let X equal the amount of fluoride in a certain brand of toothpaste...
- 7.5.10E: When placed in solutions of varying ionic strength, paramecia grow ...
- 7.5.11E: Using the weights of Verica’s 39 gold coins given in Example 6.2-4,...
- 7.5.12E: Let Y1 < Y2 < · · · < Y8 be the order statistics of eight independe...
- 22.214.171.124-1: Let Y1 < Y2 < Y3 < Y4 < Y5 < Y6 be the order statistics of a random...
- 126.96.36.199-2: For n = 12 year-2007 model sedans whose horsepower is between 290 a...
- 188.8.131.52-3: A sample of n = 9 electrochromic mirrors was used to measure the fo...
- 184.108.40.206-4: Let m denote the median weight of 80-pound bags of water softener p...
- 220.127.116.11-5: A biologist who studies spiders selected a random sample of 20 male...
- 18.104.22.168-6: A company manufactures mints that have a label weight of 20.4 grams...
- 22.214.171.124-7: Here are the weights (in grams) of 25 indicator housings used on ga...
- 126.96.36.199-8: The biologist of Exercise 7.5-5 also selected a random sample of 20...
- 188.8.131.52-9: Let X equal the amount of fluoride in a certain brand of toothpaste...
- 184.108.40.206-10: When placed in solutions of varying ionic strength, paramecia grow ...
- 220.127.116.11-11: Using the weights of Vericas 39 gold coins given in Example 6.2-4, ...
- 18.104.22.168-12: Let Y1 < Y2 < < Y8 be the order statistics of eight independent obs...
Solutions for Chapter 7.5: Interval Estimation
Full solutions for Probability and Statistical Inference | 9th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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.
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
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.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
The mean of the conditional probability distribution of a random variable.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A probability distribution for a continuous random variable.
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.
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.
Formulas used to determine the number of elements in sample spaces and events.
An expression sometimes used for nonlinear regression models or polynomial regression models.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
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.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function