- 9.1: State the properties of Students t-distribution.
- 9.2: Find the critical t-value for constructing a confidence interval ab...
- 9.3: Find the critical values x2 1-a>2 and x2 a>2 required to construct ...
- 9.4: Determine the point estimate of the population mean and margin of e...
- 9.5: A question on the 2006 General Social Survey was this: How many fam...
- 9.6: A random sample of 50 recent college graduates results in a mean ti...
- 9.7: The campus at Joliet Junior College has a lake. A student used a Se...
- 9.8: From a random sample of 1201 Americans, it was discovered that 1139...
- 9.9: Wimbledon Match Lengths A tennis enthusiast wants to estimate the m...
- 9.10: The given data represent the wait time (in seconds) for a random sa...
Solutions for Chapter 9: Estimating the Value of a Parameter
Full solutions for Statistics: Informed Decisions Using Data | 4th 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).
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.
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.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
The probability of an event given that the random experiment produces an outcome in another event.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
See Control chart.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Defects-per-unit control chart
See U chart
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
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).
Another name for a cumulative distribution function.
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
A property of a collection of events that indicates that their union equals the sample space.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications