- 8.R8.1: Its critical Find the appropriate critical value for constructing a...
- 8.R8.2: Batteries A company that produces AA batteries tests the lifetime o...
- 8.R8.3: We love football! A recent Gallup Poll conducted telephone intervie...
- 8.R8.4: Smart kids A school counselor wants to know how smart the students ...
- 8.R8.5: Do you go to church? The Gallup Poll plans to ask a random sample o...
- 8.R8.6: Running red lights A random digit dialing telephone survey of 880 d...
- 8.R8.7: Engine parts Here are measurements (in millimeters) of a critical d...
- 8.R8.8: Good wood? A lab supply company sells pieces of Douglas fir 4 inche...
- 8.R8.9: Its about ME Explain how each of the following would affect the mar...
- 8.R8.10: t time When constructing confidence intervals for a population mean...
- 8.T8.1: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.2: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.3: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.4: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.5: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.6: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.7: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.8: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.9: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.10: Section I: Multiple Choice Select the best answer for each question...
- 8.T8.11: Section II: Free Response Show all your work. Indicate clearly the ...
- 8.T8.12: Section II: Free Response Show all your work. Indicate clearly the ...
- 8.T8.13: Section II: Free Response Show all your work. Indicate clearly the ...
Solutions for Chapter 8: Estimating With Confidence
Full solutions for The Practice of Statistics | 5th Edition
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
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.
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.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
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.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
A matrix that provides the tests that are to be conducted in an experiment.
A probability distribution for a discrete random variable
Discrete random variable
A random variable with a inite (or countably ininite) range.
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.
A series of tests in which changes are made to the system under study
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
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
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 .