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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 numerical measure that assesses the strength of a linear relationship between two variables.
Qualitative variable
Step 1 of a statistical experiment
Correlation coefficient
Simple random sample
2. A numerical measure that describes an aspect of a population.
Parameter
Block
Marginal distribution
A probability space
3. 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)
Interval measurements
A population or statistical population
Marginal probability
Pairwise independence
4. In Bayesian inference - this represents prior beliefs or other information that is available before new data or observations are taken into account.
A data point
Law of Large Numbers
Prior probability
Conditional probability
5. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
Power of a test
Trend
A Distribution function
Law of Large Numbers
6. When there is an even number of values...
A Probability measure
That is the median value
Divide the sum by the number of values.
expected value of X
7. Is its expected value. The mean (or sample mean of a data set is just the average value.
Bias
Divide the sum by the number of values.
Placebo effect
The Mean of a random variable
8. E[X] :
Statistic
A probability space
Statistical inference
expected value of X
9. Is denoted by - pronounced 'x bar'.
An event
The median value
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
methods of least squares
10. A list of individuals from which the sample is actually selected.
Observational study
Binary data
The Covariance between two random variables X and Y - with expected values E(X) =
Sampling frame
11. 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.
Correlation coefficient
Type 1 Error
Conditional probability
Bias
12. 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
Standard error
Law of Parsimony
Type I errors
Null hypothesis
13. 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.
Type I errors & Type II errors
Probability density
Experimental and observational studies
Binary data
14. To find the average - or arithmetic mean - of a set of numbers:
Posterior probability
Binomial experiment
Kurtosis
Divide the sum by the number of values.
15. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as
categorical variables
Simulation
Coefficient of determination
Step 3 of a statistical experiment
16. 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
Skewness
The average - or arithmetic mean
Type I errors
17. 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.
An experimental study
Probability
Trend
Statistical inference
18. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively
Estimator
Residuals
That value is the median value
Step 2 of a statistical experiment
19. (cdfs) are denoted by upper case letters - e.g. F(x).
Ratio measurements
Cumulative distribution functions
Credence
Statistics
20. Is a sample and the associated data points.
Power of a test
Step 1 of a statistical experiment
Type 1 Error
A data set
21. Rejecting a true null hypothesis.
Placebo effect
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
Type 1 Error
Alpha value (Level of Significance)
22. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
A likelihood function
Variability
The Expected value
applied statistics
23. Is a measure of its statistical dispersion - indicating how far from the expected value its values typically are. The variance of random variable X is typically designated as - - or simply s2.
Conditional distribution
Step 1 of a statistical experiment
The variance of a random variable
Probability density
24. Another name for elementary event.
A data point
hypotheses
Atomic event
Conditional probability
25. To find the median value of a set of numbers: Arrange the numbers in numerical order. Locate the two middle numbers in the list. Find the average of those two middle values.
Sampling frame
That is the median value
observational study
That value is the median value
26. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
An event
Statistical adjustment
Atomic event
Seasonal effect
27. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).
The standard deviation
Qualitative variable
Statistics
Law of Parsimony
28. 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'
Type II errors
A sampling distribution
Conditional probability
Ratio measurements
29. When you have two or more competing models - choose the simpler of the two models.
Law of Parsimony
the population mean
A random variable
Sample space
30. Var[X] :
variance of X
Conditional probability
Simulation
Statistical dispersion
31. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
Particular realizations of a random variable
Alpha value (Level of Significance)
Skewness
the population correlation
32. The proportion of the explained variation by a linear regression model in the total variation.
Coefficient of determination
Greek letters
Type 1 Error
Marginal probability
33. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
Marginal distribution
Marginal probability
A Random vector
observational study
34. Statistics involve methods of organizing - picturing - and summarizing information from samples or population.
Step 2 of a statistical experiment
Probability density functions
An estimate of a parameter
Descriptive
35. Probability of accepting a false null hypothesis.
Conditional distribution
Beta value
Marginal distribution
Standard error
36. Where the null hypothesis is falsely rejected giving a 'false positive'.
Greek letters
Type I errors
Marginal probability
Bias
37. 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.
An event
the population mean
Simple random sample
The Range
38. 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
Inferential
Descriptive statistics
Quantitative variable
Step 1 of a statistical experiment
39. 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.
Type 1 Error
The Expected value
Skewness
The median value
40. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
the population correlation
Block
Probability density functions
Descriptive statistics
41. A numerical facsimilie or representation of a real-world phenomenon.
Simulation
Confounded variables
quantitative variables
descriptive statistics
42. Have no meaningful rank order among values.
Nominal measurements
hypotheses
Ordinal measurements
A data point
43. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.
Quantitative variable
Correlation
Average and arithmetic mean
covariance of X and Y
44. The probability of correctly detecting a false null hypothesis.
Power of a test
Correlation coefficient
Individual
the sample or population mean
45. Describes a characteristic of an individual to be measured or observed.
Ordinal measurements
Descriptive statistics
Variable
descriptive statistics
46. (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.
Sampling frame
the population variance
variance of X
An Elementary event
47. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Ordinal measurements
A statistic
Interval measurements
Skewness
48. Describes the spread in the values of the sample statistic when many samples are taken.
Nominal measurements
Variability
Descriptive
Greek letters
49. Is that part of a population which is actually observed.
Joint probability
Prior probability
A sample
A probability density function
50. Is the probability distribution - under repeated sampling of the population - of a given statistic.
Divide the sum by the number of values.
Cumulative distribution functions
A sampling distribution
The Covariance between two random variables X and Y - with expected values E(X) =