- 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
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
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.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
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 probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
See Control chart.
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 dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.
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.
Another name for a probability density function
A probability distribution for a discrete random variable
The amount of variability exhibited by data
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Error mean square
The error sum of squares divided by its number of degrees of freedom.
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.
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.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .
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