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# Solutions for Chapter 8.4: Point Estimation

## Full solutions for Introduction to Probability and Statistics 1 | 14th Edition

ISBN: 9781133103752

Solutions for Chapter 8.4: Point Estimation

Solutions for Chapter 8.4
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##### ISBN: 9781133103752

Since 23 problems in chapter 8.4: Point Estimation have been answered, more than 10508 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Introduction to Probability and Statistics 1, edition: 14. Chapter 8.4: Point Estimation includes 23 full step-by-step solutions. Introduction to Probability and Statistics 1 was written by and is associated to the ISBN: 9781133103752.

Key Statistics Terms and definitions covered in this textbook
• Biased estimator

Unbiased estimator.

• C chart

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.

• Cause-and-effect diagram

A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

• 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.

• Chi-square test

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

• Conditional probability density function

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

• Conditional probability mass function

The probability mass function of the conditional probability distribution of a discrete random variable.

• Control limits

See Control chart.

• Covariance matrix

A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

• Crossed factors

Another name for factors that are arranged in a factorial experiment.

• Decision interval

A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.

• Dependent variable

The response variable in regression or a designed experiment.

• Error of estimation

The difference between an estimated value and the true value.

• 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.

• Exhaustive

A property of a collection of events that indicates that their union equals the sample space.

• Exponential random variable

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

• F distribution.

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.

• Finite population correction factor

A term in the formula for the variance of a hypergeometric random variable.

• Generating function

A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function

• Harmonic mean

The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .

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