- 5.2.1E: In a simple random sample of 70 automobiles registered in a certain...
- 5.2.2E: During a recent drought, a water utility in a certain town sampled ...
- 5.2.3E: A soft-drink manufacturer purchases aluminum cans from an outside v...
- 5.2.4E: The article “HIV-positive Smokers Considering Quitting: Differences...
- 5.2.5E: The article “The Functional Outcomes of Total Knee Arthroplasty” (R...
- 5.2.6E: Refer to Exercise 1. Find a 95% lower confidence bound for the prop...
- 5.2.7E: Refer to Exercise 2. Find a 98% upper confidence bound for the prop...
- 5.2.8E: Refer to Exercise 4. Find a 99% lower confidence bound for the prop...
- 5.2.9E: A random sample of 400 electronic components manufactured by a cert...
- 5.2.10E: Refer to Exercise 9. A device will be manufactured in which two of ...
- 5.2.11E: When the light turns yellow, should you stop or go through it? The ...
- 5.2.12E: In a random sample of 150 customers of a high-speed internet provid...
- 5.2.13E: A sociologist is interested in surveying workers in computer-relate...
- 5.2.14E: Stainless steels can be susceptible to stress corrosion cracking un...
- 5.2.15E: The article “A Music Key Detection Method Based on Pitch Class Dist...
- 5.2.16E: A stock market analyst notices that in a certain year, the price of...
Solutions for Chapter 5.2: 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.
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.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
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.
Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data
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.
The mean of the conditional probability distribution of a random variable.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
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
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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.
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 probability distribution for a discrete random variable
The amount of variability exhibited by data
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
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.
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.