- 4-5.4-31: 4-31. Suppose X has a continuous uniform distribution over the inte...
- 4-5.4-32: Suppose X has a continuous uniform distribution over the interval 3...
- 4-5.4-33: 4-33. The net weight in pounds of a packaged chemical herbicide is ...
- 4-5.4-34: The thickness of a flange on an aircraft component is uniformly dis...
- 4-5.4-35: 4-35. Suppose the time it takes a data collection operator to fill ...
- 4-5.4-36: . The probability density function of the time it takes a hematolog...
- 4-5.4-37: 4-37. The thickness of photoresist applied to wafers in semiconduct...
- 4-5.4-38: The probability density function of the time required to complete a...
Solutions for Chapter 4-5: CONTINUOUS UNIFORM DISTRIBUTION
Full solutions for Applied Statistics and Probability for Engineers | 3rd Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
`-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).
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.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
The mean of the conditional probability distribution of a random variable.
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
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
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.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
A subset of effects in a fractional factorial design that deine the aliases in the design.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A property of a collection of events that indicates that their union equals the sample space.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
In statistical quality control, that portion of a number of units or the output of a process that is defective.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function