- 2.R2.1: Is Paul tall? According to the National Center for Health Statistic...
- 2.R2.2: Computer use Mrs. Causey asked her students how much time they had ...
- 2.R2.3: Aussie, Aussie, Aussie A group of Australian students were asked to...
- 2.R2.4: What the mean means The figure below is a density curve. Trace the ...
- 2.R2.5: Horse pregnancies Bigger animals tend to carry their young longer b...
- 2.R2.6: Standard Normal distribution Use Table A (or technology) to find ea...
- 2.R2.7: Low-birth-weight babies Researchers in Norway analyzed data on the ...
- 2.R2.8: Ketchup A fast-food restaurant has just installed a new automatic k...
- 2.R2.9: Grading managers Many companies grade on a bell curve to compare th...
- 2.R2.10: Fruit fly thorax lengths Here are the lengths in millimeters of the...
- 2.R2.11: Assessing Normality A Normal probability plot of a set of data is s...
- 2.T2.1: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.2: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.3: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.4: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.5: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.6: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.7: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.8: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.9: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.10: Section I: Multiple Choice Select the best answer for each question...
- 2.T2.11: Section II: Free Response Show all your work. Indicate clearly the ...
- 2.T2.12: Section II: Free Response Show all your work. Indicate clearly the ...
- 2.T2.13: Section II: Free Response Show all your work. Indicate clearly the ...
Solutions for Chapter 2: Modeling Distributions of Data
Full solutions for The Practice of Statistics | 5th Edition
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.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
The mean of the conditional probability distribution of a random variable.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
An expression sometimes used for nonlinear regression models or polynomial regression models.
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.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
The variance of an error term or component in a model.
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
A signal from a control chart when no assignable causes are present
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
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 .