- 10.2.1: The quality-control plan for a certain production process involves ...
- 10.2.2: The following X chart depicts the last 50 samples taken from the ou...
- 10.2.3: The following X chart depicts the last 50 samples taken from the ou...
- 10.2.4: Repeat Exercise 3, using the S chart in place of the R chart.
- 10.2.5: A process has mean 12 and standard deviation 3. The process is moni...
- 10.2.6: A process has mean 8 and standard deviation 2. The process is monit...
- 10.2.7: A process is monitored by taking samples at regular intervals and i...
- 10.2.8: Samples of eight bolts are taken periodically, and their diameters ...
- 10.2.9: Repeat Exercise 8, using the S chart in place of the R chart.
- 10.2.10: A certain type of integrated circuit is connected to its frame by f...
- 10.2.11: Repeat Exercise 10, using the S chart in place of the R chart.
- 10.2.12: Copper wires are coated with a thin plastic coating. Samples of fou...
- 10.2.13: Repeat Exercise 12, using the S chart in place of the R chart.
Solutions for Chapter 10.2: Control Charts for Variables
Full solutions for Statistics for Engineers and Scientists | 4th Edition
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
See Arithmetic mean.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
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.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
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.
Another term for the conidence coeficient.
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 off-diagonal elements rij are the correlations between Xi and Xj .
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.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
Error of estimation
The difference between an estimated value and the true value.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.
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 .