 72.71: Suppose we have a random sample of size 2n from a population denote...
 72.72: Let denote a random sample from a population having mean and varian...
 72.73: 73. Suppose that and are unbiased estimators of the parameter . We...
 72.74: Calculate the relative efficiency of the two estimators in Exercise...
 72.75: 75. Calculate the relative efficiency of the two estimators in Exe...
 72.76: Suppose that and are estimators of the parameter . We know that . W...
 72.77: 77. Suppose that , , and are estimators of . We know that , and . ...
 72.78: Let three random samples of sizes n1 20, n2 10, and n3 8 be taken f...
 72.79: (a) Show that is a biased estimator of . (b) Find the amount of bia...
 72.710: Let be a random sample of size n from a population with mean and va...
 72.711: Data on pulloff force (pounds) for connectors used in an automobil...
 72.712: Data on oxide thickness of semiconductors are as follows: 425, 431,...
 72.713: 713. is a random sample from a normal distribution with mean and v...
 72.714: Suppose that X is the number of observed successes in a sample of n...
 72.715: 715. and are the sample mean and sample variance from a population...
 72.716: Continuation of Exercise 715. Suppose that both populations have t...
 72.717: Two different plasma etchers in a semiconductor factory have the sa...
 72.718: Of randomly selected engineering students at ASU, owned an HP calcu...
Solutions for Chapter 72: GENERAL CONCEPTS OF POINT ESTIMATION
Full solutions for Applied Statistics and Probability for Engineers  3rd Edition
ISBN: 9780471204541
Solutions for Chapter 72: GENERAL CONCEPTS OF POINT ESTIMATION
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Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation

Assignable cause
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.

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Biased estimator
Unbiased estimator.

Bimodal distribution.
A distribution with two modes

Center line
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

Chisquare (or chisquared) 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.

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

Continuous distribution
A probability distribution for a continuous random variable.

Control chart
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the incontrol 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 incontrol, or free from assignable causes. Points beyond the control limits indicate an outofcontrol process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.

Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.

Density function
Another name for a probability density function

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.

Exponential random variable
A series of tests in which changes are made to the system under study

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

Fraction defective control chart
See P chart

Gaussian distribution
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