 169.1629: 1629. Consider the control chart in Fig. 163. Suppose that the me...
 169.1630: An chart uses samples of size 4. The center line is at 100, and the...
 169.1631: Consider the revised control chart in Exercise 161 with , UCL 37.4...
 169.1632: Consider the control chart in Exercise 162(a) with , UCL 14.708, L...
 169.1633: 1633. Consider the control chart in Exercise 163(a) with , UCL 15...
 169.1634: Consider the control chart in Exercise 164(a) with , UCL 21.88, LC...
 169.1635: 1635. Consider the control chart in Exercise 165 with , UCL 242.7...
 169.1636: Consider the revised control chart in Exercise 167 with , UCL 0.06...
 169.1637: 1637. Consider the revised control chart in Exercise 168 with , U...
Solutions for Chapter 169: CONTROL CHART PERFORMANCE
Full solutions for Applied Statistics and Probability for Engineers  3rd Edition
ISBN: 9780471204541
Solutions for Chapter 169: CONTROL CHART PERFORMANCE
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 9 problems in chapter 169: CONTROL CHART PERFORMANCE have been answered, more than 19769 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 3. Chapter 169: CONTROL CHART PERFORMANCE includes 9 full stepbystep solutions. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9780471204541.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

Alternative hypothesis
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

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

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.

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

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

Bivariate distribution
The joint probability distribution of two random variables.

Bivariate normal distribution
The joint distribution of two normal random variables

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Central composite design (CCD)
A secondorder response surface design in k variables consisting of a twolevel factorial, 2k axial runs, and one or more center points. The twolevel factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a secondorder model.

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.

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.

Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.

Continuous distribution
A probability distribution for a continuous random variable.

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

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.

Density function
Another name for a probability density function

Discrete random variable
A random variable with a inite (or countably ininite) range.

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.

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.