- 4.11.1E: Bottles filled by a certain machine are supposed to contain 12 oz o...
- 4.11.2E: A 500-page book contains 250 sheets of paper. The thickness of the ...
- 4.11.3E: A commuter encounters four traffic lights each day on her way to wo...
- 4.11.4E: Among all the income-tax forms filed in a certain year, the mean ta...
- 4.11.5E: Bags checked for a certain airline flight have a mean weight of 15 ...
- 4.11.6E: The amount of warpage in a type of wafer used in the manufacture of...
- 4.11.7E: The time spent by a customer at a checkout counter has mean 4 minut...
- 4.11.8E: Drums labeled 30 L are filled with a solution from a large vat. The...
- 4.11.9E: The temperature of a solution will be estimated by taking n indepen...
- 4.11.10E: Among the adults in a large city, 30% have a college degree. A simp...
- 4.11.11E: In a process that manufactures bearings, 90% of the bearings meet a...
- 4.11.12E: A machine produces 1000 steel O-rings per day. Each ring has probab...
- 4.11.13E: Radioactive mass A emits particles at a mean rate of 20 per minute,...
- 4.11.14E: The concentration of particles in a suspension is 30 per ml.a. What...
- 4.11.15E: The concentration of particles in a suspension is 50 per mL. A 5 mL...
- 4.11.16E: A battery manufacturer claims that the lifetime of a certain type o...
- 4.11.17E: A new process has been designed to make ceramic tiles. The goal is ...
- 4.11.18E: The manufacture of a certain part requires two different machine op...
- 4.11.19E: Seventy percent of rivets from vendor A meet a certain strength spe...
- 4.11.20E: Radiocarbon dating: Carbon-14 is a radioactive isotope of carbon th...
Solutions for Chapter 4.11: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
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
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
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
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.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
A subset of effects in a fractional factorial design that deine the aliases in the design.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
Another name for a probability density function
The response variable in regression or a designed experiment.
Discrete random variable
A random variable with a inite (or countably ininite) range.
The amount of variability exhibited by data
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
Exponential random variable
A series of tests in which changes are made to the system under study
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
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.
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.
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 .