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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. 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.
Credence
Reliable measure
Independent Selection
Joint distribution
2. A variable describes an individual by placing the individual into a category or a group.
Sampling Distribution
Qualitative variable
An event
Conditional probability
3. 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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4. Of a group of numbers is the center point of all those number values.
A data set
The average - or arithmetic mean
categorical variables
Lurking variable
5. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
Law of Parsimony
P-value
Valid measure
Particular realizations of a random variable
6. To find the average - or arithmetic mean - of a set of numbers:
A probability space
Ordinal measurements
Divide the sum by the number of values.
Probability and statistics
7. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
Descriptive statistics
Probability density functions
Inferential
applied statistics
8. Statistics involve methods of using information from a sample to draw conclusions regarding the population.
Inferential
Sampling
the population variance
Alpha value (Level of Significance)
9. Have no meaningful rank order among values.
Marginal distribution
Nominal measurements
Statistics
Outlier
10. Is a function that gives the probability of all elements in a given space: see List of probability distributions
The Range
Interval measurements
Standard error
A probability distribution
11. A measure that is relevant or appropriate as a representation of that property.
The Expected value
hypotheses
An event
Valid measure
12. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
Likert scale
Trend
Kurtosis
Alpha value (Level of Significance)
13. E[X] :
An estimate of a parameter
That is the median value
Law of Large Numbers
expected value of X
14. Can be - for example - the possible outcomes of a dice roll (but it is not assigned a value). The distribution function of a random variable gives the probability of different results. We can also derive the mean and variance of a random variable.
A population or statistical population
Correlation coefficient
A random variable
Kurtosis
15. 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 average - or arithmetic mean
Step 1 of a statistical experiment
Correlation coefficient
Variable
16. A subjective estimate of probability.
Step 3 of a statistical experiment
Dependent Selection
That is the median value
Credence
17. Where the null hypothesis is falsely rejected giving a 'false positive'.
Step 3 of a statistical experiment
Type I errors
A data point
Marginal probability
18. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as
s-algebras
Reliable measure
A random variable
categorical variables
19. 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
Power of a test
A Statistical parameter
Mutual independence
Experimental and observational studies
20. 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}.
descriptive statistics
The sample space
applied statistics
Random variables
21. Cov[X - Y] :
A Distribution function
A data set
quantitative variables
covariance of X and Y
22. Gives the probability distribution for a continuous random variable.
Sample space
A sample
A probability density function
Joint probability
23. Error also refers to the extent to which individual observations in a sample differ from a central value - such as
Greek letters
Step 1 of a statistical experiment
An experimental study
the sample or population mean
24. (or just likelihood) is a conditional probability function considered a function of its second argument with its first argument held fixed. For example - imagine pulling a numbered ball with the number k from a bag of n balls - numbered 1 to n. Then
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
A likelihood function
A data set
Inferential statistics
25. 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 population variance
Bias
inferential statistics
26. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
An estimate of a parameter
applied statistics
Type I errors & Type II errors
Sampling Distribution
27. 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
Sampling Distribution
Prior probability
Conditional distribution
Ratio measurements
28. Many statistical methods seek to minimize the mean-squared error - and these are called
Bias
A likelihood function
A data point
methods of least squares
29. 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.
hypotheses
Marginal distribution
methods of least squares
Bias
30. 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
Descriptive statistics
Greek letters
the sample or population mean
Marginal probability
31. Is a sample and the associated data points.
Parameter
Descriptive
methods of least squares
A data set
32. Describes the spread in the values of the sample statistic when many samples are taken.
Random variables
Variability
nominal - ordinal - interval - and ratio
Bias
33. Is data that can take only two values - usually represented by 0 and 1.
Statistical adjustment
Independence or Statistical independence
Ordinal measurements
Binary data
34. A numerical measure that describes an aspect of a sample.
Conditional distribution
Seasonal effect
Statistic
Likert scale
35. The probability of correctly detecting a false null hypothesis.
Sampling frame
nominal - ordinal - interval - and ratio
Type 2 Error
Power of a test
36. Probability of accepting a false null hypothesis.
Ordinal measurements
A sampling distribution
Beta value
The average - or arithmetic mean
37. 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.
Conditional probability
variance of X
Bias
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
38. Two variables such that their effects on the response variable cannot be distinguished from each other.
The Expected value
Confounded variables
Type I errors
Placebo effect
39. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Quantitative variable
Individual
Prior probability
hypothesis
40. 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.
Reliable measure
Conditional distribution
Estimator
An event
41. Is a parameter that indexes a family of probability distributions.
An event
A Statistical parameter
The median value
The Mean of a random variable
42. 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.
Conditional distribution
A Random vector
Likert scale
Estimator
43. A group of individuals sharing some common features that might affect the treatment.
Statistical adjustment
Ratio measurements
Binomial experiment
Block
44. The standard deviation of a sampling distribution.
Count data
experimental studies and observational studies.
Likert scale
Standard error
45. A numerical measure that assesses the strength of a linear relationship between two variables.
the population variance
Inferential statistics
Correlation coefficient
Skewness
46. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.
Statistical inference
the population variance
Quantitative variable
observational study
47. Some commonly used symbols for population parameters
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Statistical adjustment
Cumulative distribution functions
the population mean
48. 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.
Simple random sample
Experimental and observational studies
Parameter - or 'statistical parameter'
Statistic
49. Is the probability distribution - under repeated sampling of the population - of a given statistic.
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
quantitative variables
Trend
A sampling distribution
50. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
the population cumulants
A Distribution function
Outlier
quantitative variables