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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.
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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. Many statistical methods seek to minimize the mean-squared error - and these are called
Credence
methods of least squares
Treatment
Statistical adjustment
2. 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
Estimator
Random variables
experimental studies and observational studies.
the population correlation
3. 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
Probability and statistics
Posterior probability
Type 2 Error
Descriptive statistics
4. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Binomial experiment
Placebo effect
Alpha value (Level of Significance)
The average - or arithmetic mean
5. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
The sample space
the population correlation
Statistical dispersion
quantitative variables
6. 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).
An event
That value is the median value
Joint distribution
An Elementary event
7. 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
variance of X
Quantitative variable
hypotheses
Binary data
8. Where the null hypothesis fails to be rejected and an actual difference between populations is missed giving a 'false negative'.
Type II errors
categorical variables
Credence
Power of a test
9. Probability of accepting a false null hypothesis.
the population mean
experimental studies and observational studies.
Beta value
Mutual independence
10. Are usually written in upper case roman letters: X - Y - etc.
Random variables
The variance of a random variable
Conditional distribution
Type 2 Error
11. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
A Random vector
Type II errors
Marginal probability
Posterior probability
12. Is one that explores the correlation between smoking and lung cancer. This type of study typically uses a survey to collect observations about the area of interest and then performs statistical analysis. In this case - the researchers would collect o
Bias
Observational study
Treatment
Law of Parsimony
13. 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
Likert scale
Type 2 Error
Skewness
Particular realizations of a random variable
14. A measurement such that the random error is small
the sample or population mean
Reliable measure
A sample
Block
15. 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.
Sample space
Experimental and observational studies
Step 1 of a statistical experiment
Law of Large Numbers
16. Is the probability distribution - under repeated sampling of the population - of a given statistic.
A sampling distribution
The standard deviation
Simple random sample
Bias
17. Gives the probability of events in a probability space.
Statistic
A Probability measure
the population correlation
Power of a test
18. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.
Joint distribution
Bias
Parameter - or 'statistical parameter'
A sample
19. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).
Independent Selection
A Distribution function
categorical variables
The standard deviation
20. Is the length of the smallest interval which contains all the data.
Conditional probability
That value is the median value
nominal - ordinal - interval - and ratio
The Range
21. Are simply two different terms for the same thing. Add the given values
Average and arithmetic mean
the population mean
A random variable
A data point
22. 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
the population mean
Inferential
hypothesis
23. A group of individuals sharing some common features that might affect the treatment.
The variance of a random variable
Correlation coefficient
A random variable
Block
24. 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.
expected value of X
Particular realizations of a random variable
Statistical inference
Independent Selection
25. Statistical methods can be used for summarizing or describing a collection of data; this is called
descriptive statistics
Greek letters
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
A Statistical parameter
26. 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
hypothesis
A sampling distribution
An Elementary event
Mutual independence
27. A subjective estimate of probability.
Residuals
Sampling Distribution
Credence
Mutual independence
28. Is a sample and the associated data points.
methods of least squares
Quantitative variable
A data set
variance of X
29. The proportion of the explained variation by a linear regression model in the total variation.
Credence
The Mean of a random variable
Law of Large Numbers
Coefficient of determination
30. ?
the population correlation
the population mean
Descriptive
Binomial experiment
31. Changes over time that show a regular periodicity in the data where regular means over a fixed interval; the time between repetitions is called the period.
Seasonal effect
Joint distribution
An estimate of a parameter
Marginal distribution
32. Some commonly used symbols for sample statistics
the sample or population mean
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Atomic event
Coefficient of determination
33. Are usually written with upper case calligraphic (e.g. F for the set of sets on which we define the probability P)
s-algebras
Law of Large Numbers
Divide the sum by the number of values.
That value is the median value
34. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
categorical variables
A Probability measure
Placebo effect
Law of Large Numbers
35. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
Simpson's Paradox
Marginal probability
applied statistics
Outlier
36. The collection of all possible outcomes in an experiment.
the population correlation
Sample space
That is the median value
Independent Selection
37. Probability of rejecting a true null hypothesis.
Prior probability
Alpha value (Level of Significance)
Type II errors
Law of Parsimony
38. 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.
the population mean
Independent Selection
Simulation
Simple random sample
39. A data value that falls outside the overall pattern of the graph.
Pairwise independence
Outlier
Reliable measure
Sampling Distribution
40. 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.
Estimator
Step 3 of a statistical experiment
Quantitative variable
Marginal distribution
41. Is data arising from counting that can take only non-negative integer values.
The variance of a random variable
Alpha value (Level of Significance)
An estimate of a parameter
Count data
42. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Statistics
An event
Atomic event
Individual
43. 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'
The Expected value
Interval measurements
Conditional probability
Parameter - or 'statistical parameter'
44. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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45. 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
Correlation
The median value
Type 2 Error
46. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.
observational study
Variability
Bias
Quantitative variable
47. 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.
Nominal measurements
The Mean of a random variable
Average and arithmetic mean
Conditional distribution
48. Var[X] :
variance of X
Joint probability
Sampling frame
Marginal distribution
49. Is a sample space over which a probability measure has been defined.
Type I errors
Descriptive statistics
A probability space
Type 2 Error
50. Another name for elementary event.
Joint probability
Atomic event
Variable
Probability and statistics
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