- 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
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
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
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.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
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
A probability distribution for a continuous random variable.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
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 experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Another name for a cumulative distribution function.
Estimate (or point estimate)
The numerical value of a point estimator.
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.
A series of tests in which changes are made to the system under study
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
Fraction defective control chart
See P chart
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 .
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