- 9-1.9-1: In each of the following situations, state whether it is a correctl...
- 9-1.9-2: A textile fiber manufacturer is investigating a new drapery yarn, w...
- 9-1.9-3: 9-3. Repeat Exercise 9-2 using a sample size of n = 16 and the same...
- 9-1.9-4: In Exercise 9-2, find the boundary of the critical region if the ty...
- 9-1.9-5: 9-5. In Exercise 9-2, find the boundary of the critical region if t...
- 9-1.9-6: The heat evolved in calories per gram of a cement mixture is approx...
- 9-1.9-7: 9-7. Repeat Exercise 9-6 using a sample size of and the same accept...
- 9-1.9-8: A consumer products company is formulating a new shampoo and is int...
- 9-1.9-9: 9-9. In Exercise 9-8, suppose that the sample data result in millim...
- 9-1.9-10: Repeat Exercise 9-8 assuming that the sample size is n 16 and the b...
- 9-1.9-11: 9-11. Consider Exercise 9-8, and suppose that the sample size is in...
- 9-1.9-12: A manufacturer is interested in the output voltage of a power suppl...
- 9-1.9-13: 9-13. Rework Exercise 9-12 when the sample size is 16 and the bound...
- 9-1.9-14: Consider Exercise 9-12, and suppose that the manufacturer wants the...
- 9-1.9-15: If we plot the probability of accepting H0: 0 versus various values...
- 9-1.9-16: Convert the OC curve in Exercise 9-15 into a plot of the power func...
- 9-1.9-17: 9-17. A random sample of 500 registered voters in Phoenix is asked ...
- 9-1.9-18: The proportion of residents in Phoenix favoring the building of tol...
- 9-1.9-19: 9-19. The proportion of adults living in Tempe, Arizona, who are co...
Solutions for Chapter 9-1: HYPOTHESIS TESTING
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).
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.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
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
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 density function
The probability density function of the conditional probability distribution of a continuous random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
An expression sometimes used for nonlinear regression models or polynomial regression models.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
Discrete random variable
A random variable with a inite (or countably ininite) range.
The amount of variability exhibited by data
A study in which a sample from a population is used to make inference to the population. See Analytic study
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
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
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
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.