- 4.6.1: The lifetime (in days) of a certain electronic component that opera...
- 4.6.2: The article Assessment of Dermopharmacokinetic Approach in the Bioe...
- 4.6.3: The body mass index (BMI) of a person is defined to be the persons ...
- 4.6.4: The article Stochastic Estimates of Exposure and Cancer Risk from C...
- 4.6.5: If a resistor with resistance R ohms carries a current of I amperes...
- 4.6.6: Refer to Exercise 5. Suppose 10 circuits are constructed. Find the ...
- 4.6.7: The article Withdrawal Strength of Threaded Nails (D. Rammer, S. Wi...
- 4.6.8: Choose the best answer, and explain. If X is a random variable with...
- 4.6.9: The prices of stocks or other financial instruments are often model...
- 4.6.10: A manufacturer claims that the tensile strength of a certain compos...
- 4.6.11: Let X1,..., Xn be independent lognormal random variables and let a1...
Solutions for Chapter 4.6: The Lognormal Distribution
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
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
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.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
The joint probability distribution of two random variables.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
The probability of an event given that the random experiment produces an outcome in another event.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Formulas used to determine the number of elements in sample spaces and events.
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
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.
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.
Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
Estimate (or point estimate)
The numerical value of a point estimator.
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
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on