- 6.1.1: Statistical Literacy Which, if any, of the curves in Figure 6-10 lo...
- 6.1.2: Statistical Literacy Look at the normal curve in Figure 6-11, and f...
- 6.1.3: Statistical Literacy Look at the normal curve in Figure 6-11, and f...
- 6.1.4: Critical Thinking Sketch a normal curve (a) with mean 15 and standa...
- 6.1.5: Critical Thinking What percentage of the area under the normal curv...
- 6.1.6: Critical Thinking What percentage of the area under the normal curv...
- 6.1.7: Distribution: Heights of Coeds Assuming that the heights of college...
- 6.1.8: Distribution: Rhode Island Red Chicks The incubation time for Rhode...
- 6.1.9: Archaeology: Tree Rings At Burnt Mesa Pueblo, archaeological studie...
- 6.1.10: Vending Machine: Soft Drinks A vending machine automatically pours ...
- 6.1.11: Pain Management: Laser Therapy Effect of Helium-Neon Laser Auriculo...
- 6.1.12: Control Charts: Yellowstone National Park Yellowstone Park Medical ...
- 6.1.13: Control Charts: Bank Loans Tri-County Bank is a small independent b...
- 6.1.14: Control Charts: Motel Rooms The manager of Motel 11 has 316 rooms i...
- 6.1.15: Control Chart: Air Pollution The visibility standard index (VSI) is...
Solutions for Chapter 6.1: NORMAL DISTRIBUTIONS
Full solutions for Understandable Statistics | 9th Edition
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.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.
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.
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.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
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.
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
Another name for a probability density function
A probability distribution for a discrete random variable
Exponential random variable
A series of tests in which changes are made to the system under study