- 5.1.1: Statistical Literacy Which of the following are continuous variable...
- 5.1.2: Statistical Literacy Which of the following are continuous variable...
- 5.1.3: Statistical Literacy Consider each distribution. Determine if it is...
- 5.1.4: Statistical Literacy Consider the probability distribution of a ran...
- 5.1.5: Critical Thinking: Simulation We can use the random number table to...
- 5.1.6: Marketing: Age What is the age distribution of promotion-sensitive ...
- 5.1.7: Marketing: Income What is the income distribution of super shoppers...
- 5.1.8: History: Florence Nightingale What was the age distribution of nurs...
- 5.1.9: Fishing: Trout The following data are based on information taken fr...
- 5.1.10: Criminal Justice: Parole USA Today reported that approximately 25% ...
- 5.1.11: Fund Raiser: Hiking Club The college hiking club is having a fund r...
- 5.1.12: Spring Break: Caribbean Cruise The college student senate is sponso...
- 5.1.13: Expected Value: Life Insurance Jim is a 60-year-old Anglo male in r...
- 5.1.14: Expected Value: Life Insurance Sara is a 60-year-old Anglo female i...
- 5.1.15: Combination of Random Variables: Golf Norb and Gary are entered in ...
- 5.1.16: Combination of Random Variables: Repair Service A computer repair s...
- 5.1.17: Combination of Random Variables: Insurance Risk Insurance companies...
Solutions for Chapter 5.1: The Binomial Probability Distribution and Related Topics
Full solutions for Understandable Statistics | 9th Edition
Solutions for Chapter 5.1: The Binomial Probability Distribution and Related TopicsGet Full Solutions
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
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
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 probability of an event given that the random experiment produces an outcome in another event.
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.
Formulas used to determine the number of elements in sample spaces and events.
Another name for factors that are arranged in a factorial experiment.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
A property of a collection of events that indicates that their union equals the sample space.
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
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .