- 14-1.1: Did the researchers use a population or a sample for their study?
- 14-1.2: Based on who conducted this study, would you consider the study to ...
- 14-1.3: Which sampling method do you think was used to obtain the original ...
- 14-1.4: Which sampling method would you use? Why?
- 14-1.5: How would you collect a random sample for this study?
- 14-1.6: Does random assignment help representativeness the same as random s...
- 14-1.1: Name the four basic sampling techniques.
- 14-1.2: Why are samples used in statistics?
- 14-1.3: What is the basic requirement for a sample?
- 14-1.4: Why should random numbers be used when you are selecting a random s...
- 14-1.5: List three incorrect methods that are often used to obtain a sample.
- 14-1.6: What is the principle behind random numbers?
- 14-1.7: List the advantages and disadvantages of random sampling.
- 14-1.8: List the advantages and disadvantages of systematic sampling.
- 14-1.9: List the advantages and disadvantages of stratified sampling.
- 14-1.10: List the advantages and disadvantages of cluster sampling.
- 14-1.11: Use Figure 148 to answer Exercises 11 through 14.Population and Are...
- 14-1.12: Use Figure 148 to answer Exercises 11 through 14.Rainfall in U.S. C...
- 14-1.13: Use Figure 148 to answer Exercises 11 through 14.Wind Speeds Select...
- 14-1.14: Use Figure 148 to answer Exercises 11 through 14.Are there any char...
- 14-1.15: Use the above data for Exercises 15 and 16.Which method of sampling...
- 14-1.16: Use the above data for Exercises 15 and 16.Record High Temperatures...
- 14-1.17: Electoral Votes Select a systematic sample of 10 states and compute...
- 14-1.18: Electoral Votes Divide the 50 states into five subgroups by geograp...
- 14-1.19: Electoral Votes Select a cluster of 10 states and compute the mean ...
- 14-1.20: Many research studies described in newspapers and magazines do not ...
Solutions for Chapter 14-1: Sampling and Simulation
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
The probability of an event given that the random experiment produces an outcome in another event.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
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.
See Control chart.
A matrix that provides the tests that are to be conducted in an experiment.
Error of estimation
The difference between an estimated value and the true value.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
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.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Fraction defective control chart
See P chart
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .