- 3-3.1: What is a z score? A z score tells how many standard deviations the...
- 3-3.2: Define percentile rank. A percentile rank indicates the percentage ...
- 3-3.3: What is the difference between a percentage and a percentile? A per...
- 3-3.4: Define quartile. A quartile is a relative measure of position obtai...
- 3-3.5: What is the relationship between quartiles and percentiles? Q1 _ P2...
- 3-3.6: What is a decile? A decile is a relative measure of position obtain...
- 3-3.7: How are deciles related to percentiles? D1 _ P10; D2 _ P20; D3 _ P3...
- 3-3.8: To which percentile, quartile, and decile does the median correspon...
- 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: Drivers License Exam Scores The average score on a state CDL licens...
- 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: College and University Debt A student graduated from a 4-year colle...
- 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? 47
- 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? 2.1
- 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? 12
- 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: Measures of Position
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
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
See Arithmetic mean.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
A matrix that provides the tests that are to be conducted in an experiment.
Discrete random variable
A random variable with a inite (or countably ininite) range.
Another name for a cumulative distribution function.
Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
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.
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.
A signal from a control chart when no assignable causes are present
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
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 .
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .