- 14.1: Hurricanes Select a random sample of eight storms by using random n...
- 14.2: Hurricanes Select a systematic sample of eight storms and calculate...
- 14.3: Hurricanes Select a cluster of 10 storms. Compute the sample means ...
- 14.4: Hurricanes Divide the 28 storms into 4 subgroups. Then select a sam...
- 14.5: Senators and Representatives Select random samples of 10 states and...
- 14.6: Senators and Representatives Select a systematic sample of 10 state...
- 14.7: Senators and Representatives Divide the 50 states into five subgrou...
- 14.8: Senators and Representatives Select a cluster of 10 states and comp...
- 14.9: A baseball player strikes out 40% of the time.
- 14.10: An airline overbooks 15% of the time.
- 14.11: Two players roll a die. The higher number wins.
- 14.12: Player 1 rolls two dice. Player 2 rolls one die. If the number on t...
- 14.13: Rock, Paper, Scissors Two players play rock, paper, scissors. The r...
- 14.14: Football A football is placed on the 10-yard line, and a team has f...
- 14.15: In Exercise 14, find the average number of plays it will take to sc...
- 14.16: Rolling a Die Four dice are rolled 50 times. Find the average of th...
- 14.17: Field Goals A field goal kicker is successful in 60% of his kicks i...
- 14.18: Making a Sale A sales representative finds that there is a 30% prob...
- 14.19: How often do you run red lights? Flawasking a biased question. Have...
- 14.20: Do you think students who are not failing should not be tutored? Fl...
- 14.21: Do you think all automobiles should have heavy-duty bumpers, even t...
- 14.22: Explain the difference between an open-ended question and a closed-...
- 14.23: Selecting Cards A single card is drawn from a deck. Find the averag...
- 14.24: Bowling A bowler finds that there is a 30% probability that he will...
Solutions for Chapter 14: Review Execises
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
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.
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.
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.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
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 .
Another name for factors that are arranged in a factorial experiment.
An expression sometimes used for nonlinear regression models or polynomial regression models.
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.
A subset of effects in a fractional factorial design that deine the aliases in the design.
Another name for a cumulative distribution function.
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.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
Exponential random variable
A series of tests in which changes are made to the system under study
A signal from a control chart when no assignable causes are present
Fraction defective control chart
See P chart