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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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Study First
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. Of a group of numbers is the center point of all those number values.
The sample space
The average - or arithmetic mean
Step 2 of a statistical experiment
An experimental study
2. A common goal for a statistical research project is to investigate causality - and in particular to draw a conclusion on the effect of changes in the values of predictors or independent variables on dependent variables or response.
Experimental and observational studies
Independent Selection
Sampling
Type II errors
3. Where the null hypothesis is falsely rejected giving a 'false positive'.
The average - or arithmetic mean
Type I errors
Joint distribution
An experimental study
4. 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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5. When there is an even number of values...
Observational study
experimental studies and observational studies.
The variance of a random variable
That is the median value
6. Is data that can take only two values - usually represented by 0 and 1.
Binary data
Law of Parsimony
Nominal measurements
A data point
7. 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.
expected value of X
Independent Selection
Observational study
The average - or arithmetic mean
8. 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
Credence
Mutual independence
A Statistical parameter
A Probability measure
9. 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
Simple random sample
The standard deviation
experimental studies and observational studies.
Block
10. (cdfs) are denoted by upper case letters - e.g. F(x).
observational study
Bias
A data set
Cumulative distribution functions
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.
Type I errors
Sampling frame
Trend
Lurking variable
12. To find the average - or arithmetic mean - of a set of numbers:
Binomial experiment
Law of Large Numbers
Divide the sum by the number of values.
Statistic
13. Working from a null hypothesis two basic forms of error are recognized:
A Distribution function
Outlier
Type I errors & Type II errors
A Probability measure
14. 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.
Credence
A data point
A probability density function
Marginal distribution
15. 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'
Step 1 of a statistical experiment
Kurtosis
s-algebras
Conditional probability
16. A numerical measure that assesses the strength of a linear relationship between two variables.
Kurtosis
Correlation coefficient
A Random vector
the population correlation
17. 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 statistic
Null hypothesis
Reliable measure
18. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).
An Elementary event
A random variable
The standard deviation
Bias
19. 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 data set
Statistical adjustment
A population or statistical population
The Range
20. 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.
Block
Simple random sample
Interval measurements
Independent Selection
21. Statistics involve methods of organizing - picturing - and summarizing information from samples or population.
variance of X
Descriptive
Inferential
Step 2 of a statistical experiment
22. Another name for elementary event.
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Inferential
A Random vector
Atomic event
23. 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.
Divide the sum by the number of values.
Dependent Selection
Law of Parsimony
Valid measure
24. Is the study of the collection - organization - analysis - and interpretation of data. It deals with all aspects of this - including the planning of data collection in terms of the design of surveys and experiments.
Cumulative distribution functions
Pairwise independence
Statistics
Law of Large Numbers
25. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
the population mean
Treatment
Individual
Type 2 Error
26. 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
hypotheses
Inferential
Step 3 of a statistical experiment
Statistical inference
27. The proportion of the explained variation by a linear regression model in the total variation.
Coefficient of determination
Quantitative variable
Probability and statistics
Random variables
28. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.
Confounded variables
Inferential statistics
Joint distribution
Step 2 of a statistical experiment
29. A pairwise independent collection of random variables is a set of random variables any two of which are independent.
A probability distribution
Outlier
Pairwise independence
Statistical inference
30. Is the length of the smallest interval which contains all the data.
Probability and statistics
Reliable measure
Type I errors
The Range
31. 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
Descriptive statistics
Standard error
Step 3 of a statistical experiment
Cumulative distribution functions
32. (or atomic event) is an event with only one element. For example - when pulling a card out of a deck - 'getting the jack of spades' is an elementary event - while 'getting a king or an ace' is not.
Random variables
An Elementary event
Prior probability
Variability
33. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
Trend
Cumulative distribution functions
Probability density functions
Coefficient of determination
34. 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.
Observational study
Conditional distribution
Independence or Statistical independence
The Range
35. Have no meaningful rank order among values.
experimental studies and observational studies.
A probability space
Nominal measurements
Residuals
36. 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.
methods of least squares
Seasonal effect
An event
Kurtosis
37. Any specific experimental condition applied to the subjects
Statistical dispersion
Alpha value (Level of Significance)
Average and arithmetic mean
Treatment
38. A group of individuals sharing some common features that might affect the treatment.
Inferential statistics
The Expected value
experimental studies and observational studies.
Block
39. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
Atomic event
An estimate of a parameter
Divide the sum by the number of values.
An event
40. Uses patterns in the sample data to draw inferences about the population represented - accounting for randomness. These inferences may take the form of: answering yes/no questions about the data (hypothesis testing) - estimating numerical characteris
Inferential statistics
Block
Step 1 of a statistical experiment
Kurtosis
41. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Block
experimental studies and observational studies.
Inferential statistics
Statistical adjustment
42. 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.
Step 2 of a statistical experiment
Bias
Probability
the population variance
43. 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
Conditional probability
A data point
Cumulative distribution functions
44. Describes a characteristic of an individual to be measured or observed.
Probability density
Statistics
Variable
A likelihood function
45. Is its expected value. The mean (or sample mean of a data set is just the average value.
Dependent Selection
The Mean of a random variable
A statistic
A Random vector
46. Is a parameter that indexes a family of probability distributions.
Standard error
A Statistical parameter
Random variables
Inferential
47. Some commonly used symbols for population parameters
f(z) - and its cdf by F(z).
the population mean
Lurking variable
Ordinal measurements
48. The probability distribution of a sample statistic based on all the possible simple random samples of the same size from a population.
A Distribution function
Type 2 Error
Inferential
Sampling Distribution
49. 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.
A probability distribution
Standard error
Pairwise independence
Statistical inference
50. Is data arising from counting that can take only non-negative integer values.
experimental studies and observational studies.
Count data
Sampling frame
categorical variables