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# Solutions for Chapter 7.9: Estimation ## Full solutions for Probability and Statistics | 4th Edition

ISBN: 9780321500465 Solutions for Chapter 7.9: Estimation

Solutions for Chapter 7.9
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##### ISBN: 9780321500465

Probability and Statistics was written by and is associated to the ISBN: 9780321500465. This expansive textbook survival guide covers the following chapters and their solutions. Since 16 problems in chapter 7.9: Estimation have been answered, more than 15790 students have viewed full step-by-step solutions from this chapter. Chapter 7.9: Estimation includes 16 full step-by-step solutions. This textbook survival guide was created for the textbook: Probability and Statistics, edition: 4.

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).

• Acceptance region

In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion

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).

• Alias

In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

• Attribute control chart

Any control chart for a discrete random variable. See Variables control chart.

• Bias

An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

• Bimodal distribution.

A distribution with two modes

• Causal variable

When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

• Cause-and-effect diagram

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

• Conditional mean

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

• Continuity correction.

A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

• Critical value(s)

The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

• Defect

Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

• Defects-per-unit control chart

See U chart

• Dispersion

The amount of variability exhibited by data

• Enumerative study

A study in which a sample from a population is used to make inference to the population. See Analytic study

• Error variance

The variance of an error term or component in a model.

• Factorial experiment

A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.

• 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

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