- 4.10.153E: Suppose that X has a Weibull distribution with ? = 0.2 ?and ? = 100...
- 4.10.154E: Suppose that X has a Weibull distribution with ? = 0.2 and ? = 100 ...
- 4.10.155E: If X is a Weibull random variable with ? = 1 and ? = 1000, what is ...
- 4.10.156E: Assume that the life of a roller bearing follows a Weibull distribu...
- 4.10.157E: The life (in hours) of a computer processing unit (CPU) is modeled ...
- 4.10.158E: Assume that the life of a packaged magnetic disk exposed to corrosi...
- 4.10.159E: The life (in hours) of a magnetic resonance imaging machine (MRI) i...
- 4.10.160E: An article in the Journal of the Indian Geophysical Union titled “W...
- 4.10.161E: An article in the Journal of Geophysical Research [“Spatial and Tem...
- 4.10.162E: Suppose that X has a Weibull distribution with ? = 2 and ? = 8.6 De...
- 4.10.163E: Suppose that the lifetime of a component (in hours) is modeled with...
- 4.10.164E: Suppose that the lifetime of a component (in hours), X is modeled w...
- 4.10.165E: Suppose that X has a Weibull distribution with ? = 2 and ? = 2000.D...
- 4.10.166E: An article in Electronic Journal of Applied Statistical Analysis [“...
- 4.10.167E: An article in Proceeding of the 33rd International ACM SIGIR Confer...
- 4.10.168E: An article in Financial Markets Institutions and Instruments [“Pric...
- 4.10.169E: An article in IEEE Transactions on Dielectrics and Electrical Insul...
Solutions for Chapter 4.10: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
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.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
Another term for the conidence coeficient.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
A probability distribution for a discrete random variable
The amount of variability exhibited by data
Another name for a cumulative distribution function.
The variance of an error term or component in a model.
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.
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 model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
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.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials