- 5.1SE: A molecular biologist is studying the effectiveness of a particular...
- 5.2SE: Refer to Exercise 1. Another molecular biologist repeats the study ...
- 5.3SE: The article "Genetically Based Tolerance to Endosulfan, Chromium (V...
- 5.4SE: A sample of 87 glass sheets has a mean thickness of 4.20 mm with a ...
- 5.5SE: A sample of 125 pieces of yarn had mean breaking strength 6.1 N and...
- 5.6SE: Refer to Exercise 5. Additional pieces of yarn will be sampled in o...
- 5.7SE: Leakage from underground fuel tanks has been a source of water poll...
- 5.8SE: A new catalyst is being investigated for use in the production of a...
- 5.9SE: Three confidence intervals for the mean shear strength (in ksi) of ...
- 5.10SE: A pollster plans to survey a random sample of voters in a certain c...
- 5.11SE: In the article "Groundwater Electromagnetic Imaging in Complex Geol...
- 5.12SE: Polychlorinated biphenyls (PCBs) are a group of synthetic oil-like ...
- 5.13SE: A 99% confidence interval for a population mean based on a sample o...
- 5.14SE: A sample of 100 components is drawn, and a 95% confidence interval ...
- 5.15SE: A metallurgist makes several measurements of the melting temperatur...
- 5.16SE: In a study of the lifetimes of electronic components, a random samp...
- 5.17SE: The temperature of a certain solution is estimated by taking a larg...
- 5.18SE: Boxes of nails contain 100 nails each. A sample of 10 boxes is draw...
- 5.19SE: Let X represent the number of events that are observed to occur in ...
- 5.20SE: The answer to Exercise 19 part (d) is needed for this exercise. A g...
- 5.21SE: In a Couette flow, two large flat plates lie one atop another, sepa...
- 5.24SE: A sample of eight repair records for a certain fiber-optic componen...
- 5.25SE: Refer to Exercise 24.Asample of six repair records for a different ...
- 5.26SE: A sample of seven concrete blocks had their crushing strength measu...
- 5.27SE: Refer to Exercise 22.a. Generate 10,000 bootstrap samples from the ...
Solutions for Chapter 5: 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.
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
The joint probability distribution of two 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.
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.
Coeficient of determination
See R 2 .
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.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
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 .
Another name for factors that are arranged in a factorial experiment.
Defects-per-unit control chart
See U chart
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
Another name for a probability density function
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.
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.
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.