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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
.
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 sample selected in such a way that each individual is equally likely to be selected as well as any group of size n is equally likely to be selected.
That is the median value
the population mean
Ratio measurements
Simple random sample
2. 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.
covariance of X and Y
A probability space
Experimental and observational studies
A data point
3. 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
Bias
An estimate of a parameter
Qualitative variable
4. 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
The Covariance between two random variables X and Y - with expected values E(X) =
Statistic
nominal - ordinal - interval - and ratio
5. In Bayesian inference - this represents prior beliefs or other information that is available before new data or observations are taken into account.
Inferential statistics
Prior probability
Observational study
The Expected value
6. Describes the spread in the values of the sample statistic when many samples are taken.
Variability
Descriptive
Valid measure
Type I errors
7. Gives the probability of events in a probability space.
Bias
An Elementary event
Qualitative variable
A Probability measure
8. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
A statistic
An event
expected value of X
applied statistics
9. 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.
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10. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
quantitative variables
nominal - ordinal - interval - and ratio
Credence
hypothesis
11. 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
Skewness
Individual
Confounded variables
12. Is a parameter that indexes a family of probability distributions.
Dependent Selection
f(z) - and its cdf by F(z).
the sample or population mean
A Statistical parameter
13. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.
Joint distribution
variance of X
Quantitative variable
Probability density
14. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
categorical variables
Treatment
Statistical dispersion
Variability
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
Conditional probability
Residuals
Correlation
covariance of X and Y
16. Have no meaningful rank order among values.
Nominal measurements
Descriptive
Sampling Distribution
Marginal probability
17. (cdfs) are denoted by upper case letters - e.g. F(x).
Null hypothesis
A random variable
Step 1 of a statistical experiment
Cumulative distribution functions
18. Var[X] :
variance of X
An Elementary event
Atomic event
quantitative variables
19. A numerical measure that describes an aspect of a sample.
Statistic
variance of X
P-value
Statistical inference
20. Of a group of numbers is the center point of all those number values.
Nominal measurements
the population cumulants
Particular realizations of a random variable
The average - or arithmetic mean
21. Is data arising from counting that can take only non-negative integer values.
Count data
Bias
The standard deviation
Divide the sum by the number of values.
22. 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.
Binary data
Probability density functions
Sampling
quantitative variables
23. Is a measure of its statistical dispersion - indicating how far from the expected value its values typically are. The variance of random variable X is typically designated as - - or simply s2.
Conditional distribution
Standard error
The variance of a random variable
Simpson's Paradox
24. Is the probability of some event A - assuming event B. Conditional probability is written P(A|B) - and is read 'the probability of A - given B'
Conditional probability
Variability
Inferential statistics
Residuals
25. 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.
experimental studies and observational studies.
Simpson's Paradox
Statistical inference
Reliable measure
26. 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).
Correlation
Joint probability
covariance of X and Y
Simpson's Paradox
27. Probability of rejecting a true null hypothesis.
Alpha value (Level of Significance)
Power of a test
Inferential
A Distribution function
28. Is the length of the smallest interval which contains all the data.
The Range
covariance of X and Y
Probability
Binary data
29. Is data that can take only two values - usually represented by 0 and 1.
A probability density function
Binary data
Cumulative distribution functions
Descriptive
30. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
Standard error
Likert scale
applied statistics
An estimate of a parameter
31. Two variables such that their effects on the response variable cannot be distinguished from each other.
Beta value
Inferential statistics
the population mean
Confounded variables
32. Some commonly used symbols for population parameters
hypotheses
Cumulative distribution functions
Outlier
the population mean
33. 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.
Marginal distribution
A sample
Type 2 Error
Correlation coefficient
34. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Joint probability
quantitative variables
expected value of X
Random variables
35. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Probability
Outlier
A statistic
Lurking variable
36. 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.
Bias
Probability density
Individual
Dependent Selection
37. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Statistical adjustment
Nominal measurements
Quantitative variable
Atomic event
38. ?
Placebo effect
Average and arithmetic mean
the population correlation
The Mean of a random variable
39. A subjective estimate of probability.
s-algebras
A likelihood function
Credence
Pairwise independence
40. Statistical methods can be used for summarizing or describing a collection of data; this is called
descriptive statistics
Atomic event
Independent Selection
the population correlation
41. Describes a characteristic of an individual to be measured or observed.
Descriptive statistics
Variable
Power of a test
Independent Selection
42. 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
The Range
nominal - ordinal - interval - and ratio
Null hypothesis
The Expected value
43. Failing to reject a false null hypothesis.
Trend
Type 2 Error
A probability distribution
Dependent Selection
44. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
P-value
Residuals
Independent Selection
Correlation coefficient
45. 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
Particular realizations of a random variable
Descriptive statistics
Qualitative variable
Sampling Distribution
46. ?r
the sample or population mean
Step 3 of a statistical experiment
the population cumulants
Sampling frame
47. Is defined as the expected value of random variable (X -
Statistical adjustment
The Covariance between two random variables X and Y - with expected values E(X) =
The Expected value
Valid measure
48. 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.
Law of Large Numbers
the sample or population mean
Power of a test
Seasonal effect
49. Another name for elementary event.
Atomic event
Ordinal measurements
The Mean of a random variable
inferential statistics
50. A data value that falls outside the overall pattern of the graph.
f(z) - and its cdf by F(z).
Outlier
categorical variables
Sampling frame