- 3.4SE: For some genetic mutations, it is thought that the frequency of the...
- 3.5SE: The Darcy-Weisbach equation states that the power- generating capac...
- 3.6SE: Let A and B represent two variants (alleles) of the DNA at a certai...
- 3.7SE: The heating capacity of a calorimeter is known to be 4 kJ/°C, with ...
- 3.9SE: The article “Insights into Present-Day Crustal Motion in the Centra...
- 3.10SE: If two gases have molar masses M1, and M2 Graham’s law states that ...
- 3.12SE: The article “Effect of Varying Solids Concentration and Organic Loa...
- 3.13SE: In the article “Measurements of the Thermal Conductivity and Therma...
- 3.14SE: A cable is made up of several parallel strands of wire. The strengt...
- 3.15SE: Refer to Exercise 14. A cable is composed of 16 wires. The strength...
- 3.16SE: The mean yield from process A is estimated to be 80 ± 5, where the ...
- 3.17SE: The flow rate of water through a cylindrical pipe is given by Q =?r...
- 3.18SE: The conversion of cyclobutane (C4 H8) to ethylene (C2 H4) is a firs...
- 3.19SE: The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide ...
- 3.20SE: Two students want to measure the acceleration a of a cart rolling d...
- 3.21SE: A track has the shape of a square capped on two opposite sides by s...
- 3.22SE: If X is an unbiased measurement of a true value ?X, and U(X) is a n...
- 3.23SE: If X1,X2, ..., Xn are independent and unbiased measurements of true...
Solutions for Chapter 3: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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).
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
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 probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
The response variable in regression or a designed experiment.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
The variance of an error term or component in a model.
A signal from a control chart when no assignable causes are present
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.