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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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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. 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.
Marginal distribution
the population cumulants
Beta value
Lurking variable
2. To find the median value of a set of numbers: Arrange the numbers in numerical order. Locate the two middle numbers in the list. Find the average of those two middle values.
Simple random sample
That value is the median value
Law of Large Numbers
A probability distribution
3. Long-term upward or downward movement over time.
Probability density
Trend
The Expected value
P-value
4. 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
Residuals
Variable
Valid measure
Mutual independence
5. A numerical facsimilie or representation of a real-world phenomenon.
Simulation
Trend
f(z) - and its cdf by F(z).
Type 2 Error
6. Given two jointly distributed random variables X and Y - the marginal distribution of X is simply the probability distribution of X ignoring information about Y.
Block
Law of Parsimony
Marginal distribution
A random variable
7. ?r
Dependent Selection
the population variance
the population cumulants
Binary data
8. Is that part of a population which is actually observed.
Binomial experiment
A sample
Power of a test
Inferential statistics
9. 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.
Block
Kurtosis
A Random vector
Likert scale
10. E[X] :
Random variables
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
Inferential statistics
expected value of X
11. 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)
Interval measurements
Confounded variables
Law of Large Numbers
Nominal measurements
12. Var[X] :
Descriptive statistics
The Range
variance of X
quantitative variables
13. In particular - the pdf of the standard normal distribution is denoted by
Residuals
f(z) - and its cdf by F(z).
Sampling Distribution
the population cumulants
14. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
A statistic
hypotheses
Random variables
Trend
15. Also called correlation coefficient - is a numeric measure of the strength of linear relationship between two random variables (one can use it to quantify - for example - how shoe size and height are correlated in the population). An example is the P
A likelihood function
Correlation
A data point
A random variable
16. Have imprecise differences between consecutive values - but have a meaningful order to those values
Parameter - or 'statistical parameter'
the population variance
inferential statistics
Ordinal measurements
17. Error also refers to the extent to which individual observations in a sample differ from a central value - such as
the sample or population mean
Mutual independence
Bias
Posterior probability
18. When there is an even number of values...
That is the median value
Statistics
Experimental and observational studies
Confounded variables
19. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
Law of Large Numbers
Nominal measurements
A statistic
An Elementary event
20. A variable describes an individual by placing the individual into a category or a group.
Qualitative variable
Sampling frame
Atomic event
Simpson's Paradox
21. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
Probability and statistics
A statistic
Type II errors
Placebo effect
22. (cdfs) are denoted by upper case letters - e.g. F(x).
Residuals
Cumulative distribution functions
Step 2 of a statistical experiment
Credence
23. Is a process of selecting observations to obtain knowledge about a population. There are many methods to choose on which sample to do the observations.
Sampling
Experimental and observational studies
Probability and statistics
Conditional probability
24. 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.
the population correlation
Bias
Posterior probability
Type I errors
25. Is a sample and the associated data points.
Sampling frame
nominal - ordinal - interval - and ratio
A probability space
A data set
26. A numerical measure that describes an aspect of a sample.
Pairwise independence
Step 1 of a statistical experiment
Trend
Statistic
27. 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
Probability
the sample or population mean
Descriptive statistics
A probability space
28. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Skewness
Power of a test
Probability density functions
Statistical dispersion
29. Data are gathered and correlations between predictors and response are investigated.
Reliable measure
observational study
Power of a test
Seasonal effect
30. Cov[X - Y] :
An experimental study
covariance of X and Y
observational study
Individual
31. Is a set of entities about which statistical inferences are to be drawn - often based on random sampling. One can also talk about a population of measurements or values.
A population or statistical population
the population mean
Average and arithmetic mean
Law of Large Numbers
32. Gives the probability of events in a probability space.
Posterior probability
The Covariance between two random variables X and Y - with expected values E(X) =
A Probability measure
Valid measure
33. A numerical measure that describes an aspect of a population.
f(z) - and its cdf by F(z).
Beta value
Parameter
P-value
34. A numerical measure that assesses the strength of a linear relationship between two variables.
Correlation coefficient
Cumulative distribution functions
Step 3 of a statistical experiment
Statistical dispersion
35. 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.
Probability
Credence
Step 3 of a statistical experiment
An experimental study
36. A measure that is relevant or appropriate as a representation of that property.
the sample or population mean
Valid measure
Credence
observational study
37. A list of individuals from which the sample is actually selected.
Sampling frame
A sample
Step 2 of a statistical experiment
The Expected value
38. Is the probability distribution - under repeated sampling of the population - of a given statistic.
Conditional probability
A sampling distribution
hypotheses
Inferential statistics
39. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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40. The probability of correctly detecting a false null hypothesis.
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Power of a test
Statistics
the population cumulants
41. Have no meaningful rank order among values.
A sampling distribution
Nominal measurements
Conditional probability
Lurking variable
42. 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
Treatment
Parameter - or 'statistical parameter'
the population cumulants
43. Is its expected value. The mean (or sample mean of a data set is just the average value.
Joint distribution
The Mean of a random variable
Ordinal measurements
Atomic event
44. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Conditional distribution
Average and arithmetic mean
quantitative variables
Probability
45. There are two major types of causal statistical studies: In both types of studies - the effect of differences of an independent variable (or variables) on the behavior of the dependent variable are observed. The difference between the two types lies
A likelihood function
Type 2 Error
experimental studies and observational studies.
categorical variables
46. 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
Correlation coefficient
A Statistical parameter
Reliable measure
47. Given two jointly distributed random variables X and Y - the conditional probability distribution of Y given X (written 'Y | X') is the probability distribution of Y when X is known to be a particular value.
Nominal measurements
Conditional distribution
Posterior probability
Probability and statistics
48. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
Estimator
Probability density
Greek letters
Particular realizations of a random variable
49. Are usually written in upper case roman letters: X - Y - etc.
Random variables
That value is the median value
Likert scale
Type I errors
50. Is a function of the known data that is used to estimate an unknown parameter; an estimate is the result from the actual application of the function to a particular set of data. The mean can be used as an estimator.
covariance of X and Y
Estimator
Sampling Distribution
Statistics