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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
Start Test
Study First
Subjects
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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
study here
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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. Samples are drawn from two different populations such that there is a matching of the first sample data drawn and a corresponding data value in the second sample data.
Type 1 Error
Inferential statistics
Alpha value (Level of Significance)
Dependent Selection
2. Another name for elementary event.
Null hypothesis
Lurking variable
The Range
Atomic event
3. Can refer either to a sample not being representative of the population - or to the difference between the expected value of an estimator and the true value.
A probability space
Bias
Statistical adjustment
Parameter - or 'statistical parameter'
4. Gives the probability of events in a probability space.
Parameter
A Probability measure
Simulation
Descriptive
5. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
expected value of X
Mutual independence
quantitative variables
Confounded variables
6. Changes over time that show a regular periodicity in the data where regular means over a fixed interval; the time between repetitions is called the period.
Outlier
Seasonal effect
Divide the sum by the number of values.
Conditional distribution
7. Describes a characteristic of an individual to be measured or observed.
Quantitative variable
Sample space
Binary data
Variable
8. Is a measure of the 'peakedness' of the probability distribution of a real-valued random variable. Higher kurtosis means more of the variance is due to infrequent extreme deviations - as opposed to frequent modestly sized deviations.
Treatment
Count data
Parameter - or 'statistical parameter'
Kurtosis
9. Is a typed measurement - it can be a boolean value - a real number - a vector (in which case it's also called a data vector) - etc.
A data point
Statistics
A probability density function
Joint distribution
10. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.
Inferential
A Distribution function
Statistics
Quantitative variable
11. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Conditional distribution
Placebo effect
Treatment
Statistical adjustment
12. 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
Null hypothesis
Joint distribution
the population variance
Simpson's Paradox
13. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Quantitative variable
A Statistical parameter
Valid measure
A statistic
14. Any specific experimental condition applied to the subjects
Count data
Beta value
Treatment
Valid measure
15. 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.
Statistics
A population or statistical population
Sample space
categorical variables
16. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
Type 2 Error
Probability density functions
hypothesis
The standard deviation
17. Performing the experiment following the experimental protocol and analyzing the data following the experimental protocol. 4. Further examining the data set in secondary analyses - to suggest new hypotheses for future study. 5. Documenting and present
Step 3 of a statistical experiment
Law of Large Numbers
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
A Probability measure
18. Is data that can take only two values - usually represented by 0 and 1.
The Expected value
Binary data
Estimator
A probability space
19. Is inference about a population from a random sample drawn from it or - more generally - about a random process from its observed behavior during a finite period of time.
s-algebras
Statistical inference
Pairwise independence
Binary data
20. A common goal for a statistical research project is to investigate causality - and in particular to draw a conclusion on the effect of changes in the values of predictors or independent variables on dependent variables or response.
Probability density functions
Joint distribution
Dependent Selection
Experimental and observational studies
21. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
nominal - ordinal - interval - and ratio
Coefficient of determination
Interval measurements
Sampling frame
22. Is the probability distribution - under repeated sampling of the population - of a given statistic.
the population variance
A sampling distribution
Joint probability
the sample or population mean
23. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
24. Samples are drawn from two different populations such that the sample data drawn from one population is completely unrelated to the selection of sample data from the other population.
Type 1 Error
A Distribution function
Binary data
Independent Selection
25. ?r
the population cumulants
Treatment
Type I errors & Type II errors
f(z) - and its cdf by F(z).
26. Can be a population parameter - a distribution parameter - an unobserved parameter (with different shades of meaning). In statistics - this is often a quantity to be estimated.
27. Are simply two different terms for the same thing. Add the given values
The Covariance between two random variables X and Y - with expected values E(X) =
Step 2 of a statistical experiment
Average and arithmetic mean
Simple random sample
28. The probability of correctly detecting a false null hypothesis.
nominal - ordinal - interval - and ratio
Treatment
Power of a test
Binomial experiment
29. 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).
Inferential
P-value
An Elementary event
Joint probability
30. Var[X] :
variance of X
The Range
Independence or Statistical independence
experimental studies and observational studies.
31. When you have two or more competing models - choose the simpler of the two models.
the sample or population mean
Correlation coefficient
Ratio measurements
Law of Parsimony
32. Rejecting a true null hypothesis.
Statistical adjustment
Step 3 of a statistical experiment
Parameter
Type 1 Error
33. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
Sampling Distribution
Statistical dispersion
Skewness
Law of Large Numbers
34. E[X] :
The sample space
the population variance
expected value of X
Statistical dispersion
35. Working from a null hypothesis two basic forms of error are recognized:
P-value
Type I errors & Type II errors
Conditional distribution
The Expected value
36. Statistical methods can be used for summarizing or describing a collection of data; this is called
A data set
descriptive statistics
Trend
Conditional distribution
37. Is a measure of the asymmetry of the probability distribution of a real-valued random variable. Roughly speaking - a distribution has positive skew (right-skewed) if the higher tail is longer and negative skew (left-skewed) if the lower tail is longe
Skewness
Experimental and observational studies
Greek letters
nominal - ordinal - interval - and ratio
38. Many statistical methods seek to minimize the mean-squared error - and these are called
Law of Large Numbers
methods of least squares
Parameter - or 'statistical parameter'
Statistic
39. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
Sample space
Statistical dispersion
expected value of X
Placebo effect
40. Are usually written in upper case roman letters: X - Y - etc.
Variable
Random variables
Simpson's Paradox
The sample space
41. Cov[X - Y] :
The median value
covariance of X and Y
Statistic
A statistic
42. 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
Block
Mutual independence
Posterior probability
43. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.
The Range
Binomial experiment
Probability density functions
Joint distribution
44. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
Block
Particular realizations of a random variable
Standard error
A Probability measure
45. A variable that has an important effect on the response variable and the relationship among the variables in a study but is not one of the explanatory variables studied either because it is unknown or not measured.
Lurking variable
the sample or population mean
Particular realizations of a random variable
expected value of X
46. In particular - the pdf of the standard normal distribution is denoted by
Outlier
Descriptive statistics
hypothesis
f(z) - and its cdf by F(z).
47. Probability of accepting a false null hypothesis.
Dependent Selection
A probability density function
A population or statistical population
Beta value
48. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
A statistic
Lurking variable
Likert scale
Standard error
49. Have meaningful distances between measurements defined - but the zero value is arbitrary (as in the case with longitude and temperature measurements in Celsius or Fahrenheit)
Experimental and observational studies
Interval measurements
P-value
Quantitative variable
50.
the population variance
Law of Large Numbers
That is the median value
the population mean