×
×

# Solutions for Chapter 9.3: Applied Statistics and Probability for Engineers 6th Edition

## Full solutions for Applied Statistics and Probability for Engineers | 6th Edition

ISBN: 9781118539712

Solutions for Chapter 9.3

Solutions for Chapter 9.3
4 5 0 302 Reviews
18
1
##### ISBN: 9781118539712

This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. Chapter 9.3 includes 25 full step-by-step solutions. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. This expansive textbook survival guide covers the following chapters and their solutions. Since 25 problems in chapter 9.3 have been answered, more than 174225 students have viewed full step-by-step solutions from this chapter.

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

• Bivariate distribution

The joint probability distribution of two random variables.

• Causal variable

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

• 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.

• Contour plot

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

• Cumulative distribution function

For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

• Defect concentration diagram

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

• Designed experiment

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).

• Eficiency

A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.

• Erlang random variable

A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

• Exhaustive

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

• Expected value

The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.

• False alarm

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

• Finite population correction factor

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

• Fractional factorial experiment

A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

• Frequency distribution

An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on

• Generating function

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

×