- 2.6.142E: If P(A|B) = 0.4, P(B) = 0.8, and P(A) = 0.5, are the events A and B...
- 2.6.143E: If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are the events B and t...
- 2.6.144E: If P(A) = 0.2, P(B) = 0.2, and A and B are mutually exclusive, are ...
- 2.6.145E: A batch of 500 containers of frozen orange juice contains 5 that ar...
- 2.6.146E: Disks of polycarbonate plastic from a supplier are analyzed for scr...
- 2.6.147E: Samples of emissions from three suppliers are classified for confor...
- 2.6.148E: Redundant array of inexpensive disks (RAID) is a technology that us...
- 2.6.149E: The probability that a lab specimen contains high levels of contami...
- 2.6.150E: In a test of a printed circuit board using a random test pattern, a...
- 2.6.151E: Six tissues are extracted from an ivy plant infested by spider mite...
- 2.6.152E: A player of a video game is confronted with a series of four oppone...
- 2.6.153E: In an acid-base titration, a base or acid is gradually added to the...
- 2.6.154E: A credit card contains 16 digits. It also contains the month and ye...
- 2.6.155E: Eight cavities in an injection-molding tool produce plastic connect...
- 2.6.156E: The following circuit operates if and only if there is a path of fu...
- 2.6.157E: The following circuit operates if and only if there is a path of fu...
- 2.6.158E: Consider the endothermic reactions in Exercise 2-50. Let A denote t...
- 2.6.159E: Consider the hospital emergency room data in Example 2-8. Let A den...
- 2.6.160E: Consider the well failure data in Exercise 2-53. Let A denote the e...
- 2.6.161E: A Web ad can be designed from four different colors, three font typ...
- 2.6.162E: Consider the code in Example 2-12. Suppose that all 40 codes are eq...
- 2.6.163E: An integrated circuit contains 10 million logic gates (each can be ...
- 2.6.164E: Table 2-1 provides data on wafers categorized by location and conta...
- 2.6.165E: Table 2-1 provides data on wafers categorized by location and conta...
Solutions for Chapter 2.6: Applied Statistics and Probability for Engineers 6th Edition
Full solutions for Applied Statistics and Probability for Engineers | 6th 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 hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Bivariate normal distribution
The joint distribution of two normal random variables
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The probability of an event given that the random experiment produces an outcome in another event.
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
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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 regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
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.
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.
Discrete random variable
A random variable with a inite (or countably ininite) range.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression 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