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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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clep
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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. Is the set of possible outcomes of an experiment. For example - the sample space for rolling a six-sided die will be {1 - 2 - 3 - 4 - 5 - 6}.
Variability
The sample space
A data point
A likelihood function
2. (e.g. ? - b) are commonly used to denote unknown parameters (population parameters).
The average - or arithmetic mean
Experimental and observational studies
Greek letters
hypothesis
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 sampling distribution
A probability distribution
A population or statistical population
Statistics
4. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
Outlier
Sampling frame
Particular realizations of a random variable
A Probability measure
5. Are usually written with upper case calligraphic (e.g. F for the set of sets on which we define the probability P)
s-algebras
Block
inferential statistics
Confounded variables
6. Long-term upward or downward movement over time.
Divide the sum by the number of values.
Posterior probability
Trend
Independence or Statistical independence
7. Are usually written in upper case roman letters: X - Y - etc.
methods of least squares
Random variables
Step 2 of a statistical experiment
Correlation
8. Is a sample and the associated data points.
The Range
A data set
A statistic
An experimental study
9. Planning the research - including finding the number of replicates of the study - using the following information: preliminary estimates regarding the size of treatment effects - alternative hypotheses - and the estimated experimental variability. Co
The median value
Step 1 of a statistical experiment
Mutual independence
A Statistical parameter
10. Any specific experimental condition applied to the subjects
Independent Selection
Variability
Count data
Treatment
11. 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.
Qualitative variable
Count data
The variance of a random variable
Simulation
12. Are simply two different terms for the same thing. Add the given values
Sampling
The sample space
A probability distribution
Average and arithmetic mean
13. Rejecting a true null hypothesis.
Lurking variable
Cumulative distribution functions
Type 1 Error
Posterior probability
14. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
Type 2 Error
Likert scale
Binary data
A probability density function
15. A data value that falls outside the overall pattern of the graph.
Outlier
Conditional distribution
hypothesis
Probability density functions
16. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
Descriptive
Probability density functions
Statistical adjustment
Mutual independence
17. A list of individuals from which the sample is actually selected.
Mutual independence
A Probability measure
Divide the sum by the number of values.
Sampling frame
18. Is that part of a population which is actually observed.
A sampling distribution
A sample
Marginal probability
A likelihood function
19. Have both a meaningful zero value and the distances between different measurements defined; they provide the greatest flexibility in statistical methods that can be used for analyzing the data
An experimental study
Likert scale
Ratio measurements
Reliable measure
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
Ratio measurements
Descriptive statistics
Confounded variables
Seasonal effect
21. 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)
Pairwise independence
Interval measurements
A data point
Simple random sample
22. 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.
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
Conditional probability
An experimental study
Kurtosis
23. 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
Confounded variables
Step 3 of a statistical experiment
Law of Parsimony
Beta value
24. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Simple random sample
The variance of a random variable
Joint probability
quantitative variables
25. Describes the spread in the values of the sample statistic when many samples are taken.
Skewness
Lurking variable
Variability
Joint probability
26. 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
A data set
Type 1 Error
Bias
27. Is a function that gives the probability of all elements in a given space: see List of probability distributions
Marginal probability
Independence or Statistical independence
A probability distribution
Variable
28. Is the length of the smallest interval which contains all the data.
Inferential
methods of least squares
Ordinal measurements
The Range
29. A measurement such that the random error is small
P-value
A probability density function
Step 1 of a statistical experiment
Reliable measure
30. Is used in 'mathematical statistics' (alternatively - 'statistical theory') to study the sampling distributions of sample statistics and - more generally - the properties of statistical procedures. The use of any statistical method is valid when the
Variable
Probability and statistics
Probability
The Mean of a random variable
31. Two events are independent if the outcome of one does not affect that of the other (for example - getting a 1 on one die roll does not affect the probability of getting a 1 on a second roll). Similarly - when we assert that two random variables are i
Statistical inference
Placebo effect
Independence or Statistical independence
A probability distribution
32. Gives the probability distribution for a continuous random variable.
Cumulative distribution functions
A probability density function
Average and arithmetic mean
Skewness
33. 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.
Pairwise independence
Statistical inference
the population cumulants
Observational study
34. 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.
Bias
Joint distribution
the population correlation
experimental studies and observational studies.
35. 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
Mutual independence
An event
The median value
the population mean
36. ?
Particular realizations of a random variable
Standard error
the population correlation
Posterior probability
37. Statistical methods can be used for summarizing or describing a collection of data; this is called
descriptive statistics
The Mean of a random variable
Kurtosis
Type II errors
38. To prove the guiding theory further - these predictions are tested as well - as part of the scientific method. If the inference holds true - then the descriptive statistics of the new data increase the soundness of that
That is the median value
Step 1 of a statistical experiment
hypothesis
Sampling
39. 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
Marginal distribution
That is the median value
experimental studies and observational studies.
Type I errors
40. Is used to describe probability in a continuous probability distribution. For example - you can't say that the probability of a man being six feet tall is 20% - but you can say he has 20% of chances of being between five and six feet tall. Probabilit
The standard deviation
the population correlation
Descriptive statistics
Probability density
41. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
A data set
Reliable measure
A Random vector
A Distribution function
42. Have imprecise differences between consecutive values - but have a meaningful order to those values
Conditional probability
inferential statistics
Ordinal measurements
methods of least squares
43. Failing to reject a false null hypothesis.
expected value of X
Type 2 Error
Descriptive
Skewness
44. Error also refers to the extent to which individual observations in a sample differ from a central value - such as
Step 3 of a statistical experiment
the sample or population mean
P-value
Null hypothesis
45. Gives the probability of events in a probability space.
Simpson's Paradox
A Probability measure
Nominal measurements
Quantitative variable
46. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Standard error
An Elementary event
Statistical dispersion
Lurking variable
47. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
A Statistical parameter
The standard deviation
Cumulative distribution functions
Individual
48. Of a group of numbers is the center point of all those number values.
Statistical dispersion
A Statistical parameter
Step 1 of a statistical experiment
The average - or arithmetic mean
49. Working from a null hypothesis two basic forms of error are recognized:
observational study
Type I errors & Type II errors
Sampling
The Expected value
50. In particular - the pdf of the standard normal distribution is denoted by
Probability density functions
Step 2 of a statistical experiment
Sampling Distribution
f(z) - and its cdf by F(z).