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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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clep
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. The probability distribution of a sample statistic based on all the possible simple random samples of the same size from a population.
A probability distribution
Sampling Distribution
Bias
Inferential
2. Uses patterns in the sample data to draw inferences about the population represented - accounting for randomness. These inferences may take the form of: answering yes/no questions about the data (hypothesis testing) - estimating numerical characteris
Valid measure
Pairwise independence
Inferential statistics
the population mean
3. Is the probability of an event - ignoring any information about other events. The marginal probability of A is written P(A). Contrast with conditional probability.
A Random vector
Marginal probability
Nominal measurements
A probability density function
4. Are simply two different terms for the same thing. Add the given values
Average and arithmetic mean
Statistics
Binary data
Binomial experiment
5. A subjective estimate of probability.
Credence
The average - or arithmetic mean
A data set
Null hypothesis
6. Rejecting a true null hypothesis.
Type 1 Error
Probability density functions
An experimental study
Independence or Statistical independence
7. Of a group of numbers is the center point of all those number values.
Probability density
Ordinal measurements
applied statistics
The average - or arithmetic mean
8. Involves taking measurements of the system under study - manipulating the system - and then taking additional measurements using the same procedure to determine if the manipulation has modified the values of the measurements.
Descriptive statistics
Type 1 Error
An experimental study
Beta value
9. Interpretation of statistical information in that the assumption is that whatever is proposed as a cause has no effect on the variable being measured can often involve the development of a
Probability
Probability and statistics
descriptive statistics
Null hypothesis
10. A consistent - repeated deviation of the sample statistic from the population parameter in the same direction when many samples are taken.
Probability density functions
The standard deviation
Bias
Type 2 Error
11. Gives the probability distribution for a continuous random variable.
Probability
Count data
Seasonal effect
A probability density function
12. In particular - the pdf of the standard normal distribution is denoted by
experimental studies and observational studies.
A probability space
f(z) - and its cdf by F(z).
Joint distribution
13. A data value that falls outside the overall pattern of the graph.
Law of Parsimony
Outlier
Reliable measure
Step 1 of a statistical experiment
14. Design of experiments - using blocking to reduce the influence of confounding variables - and randomized assignment of treatments to subjects to allow unbiased estimates of treatment effects and experimental error. At this stage - the experimenters a
Step 2 of a statistical experiment
quantitative variables
Conditional probability
Conditional distribution
15. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).
The standard deviation
the population variance
Step 2 of a statistical experiment
The median value
16. (e.g. ? - b) are commonly used to denote unknown parameters (population parameters).
Posterior probability
Greek letters
Divide the sum by the number of values.
That is the median value
17. Is a sample and the associated data points.
Divide the sum by the number of values.
A data set
A statistic
Law of Large Numbers
18. A measure that is relevant or appropriate as a representation of that property.
Valid measure
Skewness
Coefficient of determination
A data set
19. Long-term upward or downward movement over time.
variance of X
A probability space
Prior probability
Trend
20. Summarize the population data by describing what was observed in the sample numerically or graphically. Numerical descriptors include mean and standard deviation for continuous data types (like heights or weights) - while frequency and percentage are
The Expected value
Probability and statistics
Correlation
Descriptive statistics
21. (or just likelihood) is a conditional probability function considered a function of its second argument with its first argument held fixed. For example - imagine pulling a numbered ball with the number k from a bag of n balls - numbered 1 to n. Then
Qualitative variable
A likelihood function
Simple random sample
Greek letters
22. Another name for elementary event.
Inferential
quantitative variables
descriptive statistics
Atomic event
23. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Statistical dispersion
The Range
Dependent Selection
Cumulative distribution functions
24. Is the probability distribution - under repeated sampling of the population - of a given statistic.
Binomial experiment
Atomic event
Statistic
A sampling distribution
25. Is the probability of two events occurring together. The joint probability of A and B is written P(A and B) or P(A - B).
Random variables
Joint probability
Placebo effect
Reliable measure
26. When there is an even number of values...
A probability distribution
That is the median value
A sampling distribution
Statistical adjustment
27. A numerical measure that describes an aspect of a population.
That is the median value
Individual
Step 2 of a statistical experiment
Parameter
28. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
experimental studies and observational studies.
nominal - ordinal - interval - and ratio
Individual
Ratio measurements
29. Is that part of a population which is actually observed.
Correlation coefficient
A sample
Individual
Experimental and observational studies
30. S^2
The Range
Outlier
the population variance
Standard error
31. A measurement such that the random error is small
Reliable measure
Power of a test
Beta value
Statistical dispersion
32. Are usually written with upper case calligraphic (e.g. F for the set of sets on which we define the probability P)
Joint distribution
The Expected value
An estimate of a parameter
s-algebras
33. (cdfs) are denoted by upper case letters - e.g. F(x).
Pairwise independence
Cumulative distribution functions
the population mean
An Elementary event
34. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
Estimator
Divide the sum by the number of values.
Step 2 of a statistical experiment
applied statistics
35. Where the null hypothesis is falsely rejected giving a 'false positive'.
Valid measure
Type I errors
Beta value
Quantitative variable
36. A pairwise independent collection of random variables is a set of random variables any two of which are independent.
Type I errors & Type II errors
Sample space
Pairwise independence
Block
37. Describes a characteristic of an individual to be measured or observed.
Variable
variance of X
Quantitative variable
The standard deviation
38. A numerical facsimilie or representation of a real-world phenomenon.
the population mean
Type I errors & Type II errors
A Statistical parameter
Simulation
39. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Statistical adjustment
Treatment
Binomial experiment
Beta value
40. Failing to reject a false null hypothesis.
descriptive statistics
Simulation
Type 2 Error
Valid measure
41. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively
Residuals
hypothesis
A data point
The average - or arithmetic mean
42. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
A Random vector
A probability distribution
variance of X
A data set
43. Some commonly used symbols for population parameters
A likelihood function
Power of a test
the population mean
Statistical inference
44. A collection of events is mutually independent if for any subset of the collection - the joint probability of all events occurring is equal to the product of the joint probabilities of the individual events. Think of the result of a series of coin-fl
Average and arithmetic mean
The standard deviation
Mutual independence
applied statistics
45. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data
The Mean of a random variable
inferential statistics
Valid measure
Posterior probability
46. Is the study of the collection - organization - analysis - and interpretation of data. It deals with all aspects of this - including the planning of data collection in terms of the design of surveys and experiments.
Individual
Conditional distribution
Statistics
A Statistical parameter
47. Have no meaningful rank order among values.
Nominal measurements
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Simple random sample
Conditional distribution
48. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Statistic
A statistic
quantitative variables
Individual
49. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as
quantitative variables
Variability
categorical variables
Parameter - or 'statistical parameter'
50. Probability of rejecting a true null hypothesis.
Valid measure
Law of Parsimony
The standard deviation
Alpha value (Level of Significance)