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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
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 data value that falls outside the overall pattern of the graph.
Outlier
Seasonal effect
Joint distribution
Probability and statistics
2. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Qualitative variable
Divide the sum by the number of values.
A statistic
Alpha value (Level of Significance)
3. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
Coefficient of determination
An Elementary event
An estimate of a parameter
Descriptive
4. Rejecting a true null hypothesis.
The median value
Type 1 Error
Independent Selection
Block
5. Is a function that gives the probability of all elements in a given space: see List of probability distributions
Conditional probability
A probability distribution
Pairwise independence
Independence or Statistical independence
6. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
applied statistics
s-algebras
the population cumulants
the population variance
7. Describes the spread in the values of the sample statistic when many samples are taken.
Descriptive statistics
Dependent Selection
Variability
Sampling
8. Is a parameter that indexes a family of probability distributions.
A Statistical parameter
Independence or Statistical independence
Parameter
the population correlation
9. 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
applied statistics
Alpha value (Level of Significance)
Independence or Statistical independence
Particular realizations of a random variable
10. Long-term upward or downward movement over time.
Greek letters
Observational study
Cumulative distribution functions
Trend
11. Statistics involve methods of using information from a sample to draw conclusions regarding the population.
Step 2 of a statistical experiment
Inferential
Independent Selection
covariance of X and Y
12. 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.
Quantitative variable
Dependent Selection
A population or statistical population
Type 1 Error
13. Cov[X - Y] :
Simple random sample
covariance of X and Y
Power of a test
A sample
14. 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.
Experimental and observational studies
Independence or Statistical independence
Simple random sample
Quantitative variable
15. 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
Random variables
Descriptive statistics
A Random vector
Statistics
16. E[X] :
expected value of X
Power of a test
the population correlation
Lurking variable
17.
That is the median value
the population mean
Prior probability
Skewness
18. A numerical measure that assesses the strength of a linear relationship between two variables.
the population mean
An event
Correlation coefficient
variance of X
19. Working from a null hypothesis two basic forms of error are recognized:
quantitative variables
Marginal distribution
Type I errors & Type II errors
Treatment
20. 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.
Reliable measure
Seasonal effect
Bias
Probability
21. A subjective estimate of probability.
Credence
expected value of X
A random variable
f(z) - and its cdf by F(z).
22. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
Alpha value (Level of Significance)
Random variables
hypotheses
A Random vector
23. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).
Individual
The standard deviation
Probability
nominal - ordinal - interval - and ratio
24. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Seasonal effect
A Probability measure
Statistic
quantitative variables
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).
Joint probability
A Distribution function
categorical variables
Particular realizations of a random variable
26. The standard deviation of a sampling distribution.
A Probability measure
Step 3 of a statistical experiment
Standard error
Statistical inference
27. Gives the probability of events in a probability space.
A Probability measure
Variable
Beta value
A sampling distribution
28. A numerical facsimilie or representation of a real-world phenomenon.
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Simpson's Paradox
Simulation
An Elementary event
29. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Treatment
Binomial experiment
the population mean
The sample space
30. Is data arising from counting that can take only non-negative integer values.
Sampling
Count data
descriptive statistics
the population correlation
31. 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
Correlation coefficient
The Range
Parameter
Probability density
32. 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.
Quantitative variable
Lurking variable
the population cumulants
A data set
33. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
An event
Block
Individual
Statistic
34. To find the average - or arithmetic mean - of a set of numbers:
Step 2 of a statistical experiment
Divide the sum by the number of values.
Kurtosis
Binomial experiment
35. A consistent - repeated deviation of the sample statistic from the population parameter in the same direction when many samples are taken.
Placebo effect
Bias
Seasonal effect
Simulation
36. (cdfs) are denoted by upper case letters - e.g. F(x).
Binary data
Dependent Selection
Cumulative distribution functions
A Distribution function
37. The probability distribution of a sample statistic based on all the possible simple random samples of the same size from a population.
Coefficient of determination
Sampling Distribution
Correlation coefficient
Statistical dispersion
38. 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
The sample space
Skewness
A statistic
Alpha value (Level of Significance)
39. A measure that is relevant or appropriate as a representation of that property.
Parameter - or 'statistical parameter'
Valid measure
categorical variables
f(z) - and its cdf by F(z).
40. A list of individuals from which the sample is actually selected.
Sampling frame
The Mean of a random variable
A data point
Simulation
41. Is the exact middle value of a set of numbers Arrange the numbers in numerical order. Find the value in the middle of the list.
The median value
Statistic
the population correlation
Binary data
42. Is a subset of the sample space - to which a probability can be assigned. For example - on rolling a die - 'getting a five or a six' is an event (with a probability of one third if the die is fair).
Law of Large Numbers
Bias
An event
Estimator
43. 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
Skewness
Posterior probability
Experimental and observational studies
44. Is that part of a population which is actually observed.
Power of a test
A sample
Type I errors & Type II errors
Average and arithmetic mean
45. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Variable
Descriptive statistics
A data point
Statistical adjustment
46. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
A population or statistical population
Law of Large Numbers
An Elementary event
s-algebras
47. 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 density functions
expected value of X
Null hypothesis
The Covariance between two random variables X and Y - with expected values E(X) =
48. The proportion of the explained variation by a linear regression model in the total variation.
Simpson's Paradox
Coefficient of determination
Correlation
Type I errors & Type II errors
49. Are simply two different terms for the same thing. Add the given values
the population cumulants
Average and arithmetic mean
Placebo effect
inferential statistics
50. ?
the population correlation
A Random vector
Sampling Distribution
The sample space