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Solutions for Chapter 8.1: Sampling Distributions of Estimators

Full solutions for Probability and Statistics | 4th Edition

ISBN: 9780321500465

Solutions for Chapter 8.1: Sampling Distributions of Estimators

Solutions for Chapter 8.1
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ISBN: 9780321500465

This expansive textbook survival guide covers the following chapters and their solutions. Since 9 problems in chapter 8.1: Sampling Distributions of Estimators have been answered, more than 15724 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Probability and Statistics, edition: 4. Chapter 8.1: Sampling Distributions of Estimators includes 9 full step-by-step solutions. Probability and Statistics was written by and is associated to the ISBN: 9780321500465.

Key Statistics Terms and definitions covered in this textbook
• a-error (or a-risk)

In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

• Arithmetic mean

The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

• 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.

• Average run length, or ARL

The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

• Box plot (or box and whisker plot)

A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

• Comparative experiment

An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

• Conditional mean

The mean of the conditional probability distribution of a random variable.

• Conditional variance.

The variance of the conditional probability distribution of a random variable.

• Continuous distribution

A probability distribution for a continuous random variable.

• Contour plot

A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

• Critical region

In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

• Deining relation

A subset of effects in a fractional factorial design that deine the aliases in the design.

• Discrete distribution

A probability distribution for a discrete random variable

• Dispersion

The amount of variability exhibited by data

• Distribution function

Another name for a cumulative distribution function.

• Error of estimation

The difference between an estimated value and the true value.

• Estimate (or point estimate)

The numerical value of a point estimator.

• Exponential random variable

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

• False alarm

A signal from a control chart when no assignable causes are present

• Generator

Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

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