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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. 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
Coefficient of determination
inferential statistics
Step 1 of a statistical experiment
Binary data
2. (cdfs) are denoted by upper case letters - e.g. F(x).
Cumulative distribution functions
Atomic event
Interval measurements
Trend
3. A list of individuals from which the sample is actually selected.
Type I errors
Independence or Statistical independence
Interval measurements
Sampling frame
4. In number theory - scatter plots of data generated by a distribution function may be transformed with familiar tools used in statistics to reveal underlying patterns - which may then lead to
Reliable measure
hypotheses
Inferential statistics
Mutual independence
5. Is a sample and the associated data points.
Step 2 of a statistical experiment
A data set
Simpson's Paradox
Joint distribution
6. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
Skewness
Statistical dispersion
P-value
Placebo effect
7. A measure that is relevant or appropriate as a representation of that property.
Bias
The average - or arithmetic mean
expected value of X
Valid measure
8. 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.
Independent Selection
Individual
Statistic
the population mean
9. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
applied statistics
A data point
Experimental and observational studies
Probability density functions
10. 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.
Residuals
Type 1 Error
Marginal distribution
A Statistical parameter
11. Is the probability distribution - under repeated sampling of the population - of a given statistic.
Statistical adjustment
A sampling distribution
Skewness
Beta value
12. A measurement such that the random error is small
Reliable measure
The sample space
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Statistics
13. Is the probability of an event - ignoring any information about other events. The marginal probability of A is written P(A). Contrast with conditional probability.
Outlier
Type 2 Error
Skewness
Marginal probability
14. 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)
An experimental study
Probability and statistics
Interval measurements
Variable
15. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
The Range
Marginal probability
Likert scale
Bias
16. When there is an even number of values...
That is the median value
An experimental study
Conditional distribution
A data point
17. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data
Conditional distribution
Interval measurements
Posterior probability
Atomic event
18. A numerical facsimilie or representation of a real-world phenomenon.
Simulation
Type I errors & Type II errors
Treatment
A sample
19. Is a function that gives the probability of all elements in a given space: see List of probability distributions
A probability distribution
experimental studies and observational studies.
A Probability measure
Inferential
20. Data are gathered and correlations between predictors and response are investigated.
observational study
A Distribution function
Statistic
A Probability measure
21. Statistics involve methods of organizing - picturing - and summarizing information from samples or population.
Coefficient of determination
Descriptive
A Random vector
Random variables
22. 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
Probability
experimental studies and observational studies.
Skewness
Credence
23. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Marginal probability
Individual
The sample space
Conditional distribution
24. In particular - the pdf of the standard normal distribution is denoted by
Parameter
f(z) - and its cdf by F(z).
Posterior probability
Conditional probability
25. Rejecting a true null hypothesis.
Binomial experiment
Valid measure
Observational study
Type 1 Error
26. S^2
Mutual independence
A sampling distribution
A Distribution function
the population variance
27. Statistics involve methods of using information from a sample to draw conclusions regarding the population.
nominal - ordinal - interval - and ratio
Placebo effect
Inferential
A probability distribution
28. Many statistical methods seek to minimize the mean-squared error - and these are called
Step 2 of a statistical experiment
methods of least squares
Type 1 Error
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
29. Are two related but separate academic disciplines. Statistical analysis often uses probability distributions - and the two topics are often studied together. However - probability theory contains much that is of mostly of mathematical interest and no
Variability
Probability and statistics
Correlation
Simple random sample
30. Is its expected value. The mean (or sample mean of a data set is just the average value.
The Mean of a random variable
Simpson's Paradox
Probability
Law of Parsimony
31. 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
the population variance
Descriptive statistics
experimental studies and observational studies.
That is the median value
32. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
descriptive statistics
Statistical dispersion
s-algebras
A Random vector
33. Working from a null hypothesis two basic forms of error are recognized:
Experimental and observational studies
Step 1 of a statistical experiment
Parameter - or 'statistical parameter'
Type I errors & Type II errors
34. When you have two or more competing models - choose the simpler of the two models.
Sampling frame
A random variable
Law of Parsimony
An estimate of a parameter
35. Long-term upward or downward movement over time.
A probability density function
Correlation coefficient
Trend
Alpha value (Level of Significance)
36. 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
Block
Bias
Correlation
Null hypothesis
37. 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.
Placebo effect
Kurtosis
Interval measurements
The Covariance between two random variables X and Y - with expected values E(X) =
38. A numerical measure that describes an aspect of a sample.
Statistical dispersion
A probability distribution
Statistic
Coefficient of determination
39. 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
Step 3 of a statistical experiment
covariance of X and Y
The Range
40. Describes the spread in the values of the sample statistic when many samples are taken.
Variability
Power of a test
A Random vector
nominal - ordinal - interval - and ratio
41. Patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations - and are then used for drawing inferences about the process or population being studied; this is called
inferential statistics
Pairwise independence
Average and arithmetic mean
That is the median value
42. 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.
Alpha value (Level of Significance)
The Range
The median value
A Statistical parameter
43. Describes a characteristic of an individual to be measured or observed.
Variable
Mutual independence
Reliable measure
Confounded variables
44. The probability of correctly detecting a false null hypothesis.
Simple random sample
Standard error
Probability and statistics
Power of a test
45. Gives the probability distribution for a continuous random variable.
Credence
Residuals
The standard deviation
A probability density function
46. Are simply two different terms for the same thing. Add the given values
Trend
Inferential
Average and arithmetic mean
Probability density
47. 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}.
The sample space
Correlation coefficient
the population mean
Correlation
48. A variable describes an individual by placing the individual into a category or a group.
the population correlation
Qualitative variable
P-value
Sampling frame
49. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
Type I errors
quantitative variables
Law of Large Numbers
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
50. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
Inferential statistics
Step 1 of a statistical experiment
Correlation
Placebo effect