- 3-3.1: Which measures of position could be used to help describe the data ...
- 3-3.2: If 40% of the mice in the top quartile survived after the injection...
- 3-3.3: What information can be given from using percentiles?
- 3-3.4: What information can be given from using quartiles?
- 3-3.5: What information can be given from using standard scores?
- 3-3.1: What is a z score?
- 3-3.2: Define percentile rank
- 3-3.3: What is the difference between a percentage and a percentile?
- 3-3.4: Define quartile.
- 3-3.5: What is the relationship between quartiles and percentiles?
- 3-3.6: What is a decile?
- 3-3.7: How are deciles related to percentiles?
- 3-3.8: To which percentile, quartile, and decile does the median correspond?
- 3-3.9: Vacation Days If the average number of vacation days for a selectio...
- 3-3.10: Age of Senators The average age of senators in the 108th Congress w...
- 3-3.11: Exam Scores A final examination for a psychology course has a mean ...
- 3-3.12: Teachers Salary The average teachers salary in a particular state i...
- 3-3.13: Which has a better relative position: a score of 75 on a statistics...
- 3-3.14: Test Scores A student scores 60 on a mathematics test that has a me...
- 3-3.15: Which score indicates the highest relative position? a. A score of ...
- 3-3.16: College Room and Board Costs Room and board costs for selected scho...
- 3-3.17: Using the data in Exercise 16, find the approximate percentile rank...
- 3-3.18: Achievement Test Scores (ans) The data shown represent the scores o...
- 3-3.19: For the data in Exercise 18, find the approximate scores that corre...
- 3-3.20: Airplane Speeds (ans) The airborne speeds in miles per hour of 21 p...
- 3-3.21: Using the data in Exercise 20, find the approximate percentile rank...
- 3-3.22: Average Weekly Earnings The average weekly earnings in dollars for ...
- 3-3.23: For the data from Exercise 22, what value corresponds to the 40th p...
- 3-3.24: Test Scores Find the percentile rank for each test score in the dat...
- 3-3.25: In Exercise 24, what value corresponds to the 60th percentile?
- 3-3.26: Hurricane Damage Find the percentile rank for each value in the dat...
- 3-3.27: What value in Exercise 26 corresponds to the 40th percentile?
- 3-3.28: Test Scores Find the percentile rank for each test score in the dat...
- 3-3.29: What test score in Exercise 28 corresponds to the 33rd percentile?
- 3-3.30: Using the procedure shown in Example 337, check each data set for o...
- 3-3.31: Another measure of average is called the midquartile; it is the num...
Solutions for Chapter 3-3: Data Description
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
Coeficient of determination
See R 2 .
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The probability of an event given that the random experiment produces an outcome in another event.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
The variance of the conditional probability distribution of a random variable.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
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 measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
A matrix that provides the tests that are to be conducted in an experiment.
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
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
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .