- 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
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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.
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
Bivariate normal distribution
The joint distribution of two normal random variables
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
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.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Another name for factors that are arranged in a factorial experiment.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
The response variable in regression or a designed experiment.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
A property of a collection of events that indicates that their union equals the sample space.
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
In statistical quality control, that portion of a number of units or the output of a process that is defective.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.
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