- 1.R.1CQ: Identify the population and the sample in the following study.A stu...
- 1.R.1PTE: How Would You Do It?(a) What sampling technique would you use to se...
- 1.R.2E: In Exercise 2, identify the population and the sample.Thirty-eight ...
- 1.R.2PTE: Data Classification(a) What type of data do you expect to collect: ...
- 1.R.3CQ: Determine whether the data are qualitative or quantitative. Explain...
- 1.R.6CQ: An experiment is performed to test the effects of a new drug on hig...
- 1.R.7CQ: Identify the sampling technique used in each study. Explain your re...
- 1.R.7E: In Exercise 7, determine whether the numerical value is a parameter...
- 1.R.8CQ: Which sampling technique used in Exercise could lead to a biased st...
- 1.R.9E: In Exercise 9, determine whether the numerical value is a parameter...
- 1.R.10E: In Exercise, determine whether the numerical value is a parameter o...
- 1.R.13E: In Exercise, determine whether the data are qualitative or quantita...
- 1.R.14E: In Exercise, determine whether the data are qualitative or quantita...
- 1.R.15E: In Exercise, determine whether the data are qualitative or quantita...
- 1.R.16E: In Exercise, determine whether the data are qualitative or quantita...
- 1.R.19E: In Exercise, determine the level of measurement of the data set. Ex...
- 1.R.26E: In Exercise, two hundred students volunteer for an experiment to te...
- 1.R.27E: In Exercise, two hundred students volunteer for an experiment to te...
- 1.R.29E: In Exercise, identify the sampling technique used, and discuss pote...
- 1.R.30E: In Exercise, identify the sampling technique used, and discuss pote...
- 1.R.31E: In Exercise, identify the sampling technique used, and discuss pote...
- 1.R.32E: In Exercise, identify the sampling technique used, and discuss pote...
- 1.R.33E: In Exercise, identify the sampling technique used, and discuss pote...
- 1.R.34E: In Exercise, identify the sampling technique used, and discuss pote...
Solutions for Chapter 1.R: Elementary Statistics: Picturing the World 5th Edition
Full solutions for Elementary Statistics: Picturing the World | 5th Edition
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
Bivariate normal distribution
The joint distribution of two normal random variables
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.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
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.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete 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.
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.
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.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Defects-per-unit control chart
See U chart
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.
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.
Exponential random variable
A series of tests in which changes are made to the system under study
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
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function