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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. Describes the spread in the values of the sample statistic when many samples are taken.
Correlation
Mutual independence
Variability
Joint probability
2. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
Cumulative distribution functions
inferential statistics
Type 1 Error
Placebo effect
3. 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.
Estimator
The sample space
Statistical inference
experimental studies and observational studies.
4. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Step 2 of a statistical experiment
Binomial experiment
experimental studies and observational studies.
Descriptive statistics
5. The proportion of the explained variation by a linear regression model in the total variation.
categorical variables
Credence
Divide the sum by the number of values.
Coefficient of determination
6. Long-term upward or downward movement over time.
Binomial experiment
variance of X
Trend
experimental studies and observational studies.
7. To find the average - or arithmetic mean - of a set of numbers:
The variance of a random variable
A Random vector
Divide the sum by the number of values.
Ratio measurements
8. A variable describes an individual by placing the individual into a category or a group.
Qualitative variable
f(z) - and its cdf by F(z).
P-value
hypothesis
9. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
Statistics
P-value
the population variance
Probability and statistics
10. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Ordinal measurements
quantitative variables
experimental studies and observational studies.
Pairwise independence
11. Two variables such that their effects on the response variable cannot be distinguished from each other.
Valid measure
Law of Parsimony
Confounded variables
Block
12. Is a process of selecting observations to obtain knowledge about a population. There are many methods to choose on which sample to do the observations.
Sampling
Simple random sample
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Outlier
13. The probability of correctly detecting a false null hypothesis.
Estimator
Simple random sample
Power of a test
A Distribution function
14. Is data that can take only two values - usually represented by 0 and 1.
Independent Selection
Binary data
Greek letters
Coefficient of determination
15. 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
Inferential
A sampling distribution
hypothesis
Trend
16. 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.
Cumulative distribution functions
Independence or Statistical independence
Bias
categorical variables
17. 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
Joint probability
Conditional probability
methods of least squares
18. 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.
Independence or Statistical independence
The variance of a random variable
Joint distribution
An event
19. 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.
Qualitative variable
Individual
Lurking variable
Inferential
20. (cdfs) are denoted by upper case letters - e.g. F(x).
Dependent Selection
Conditional distribution
Cumulative distribution functions
The Expected value
21. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively
Residuals
Binary data
Joint distribution
methods of least squares
22. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Binomial experiment
s-algebras
Statistical adjustment
Skewness
23. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
A statistic
descriptive statistics
A population or statistical population
methods of least squares
24. Is a function that gives the probability of all elements in a given space: see List of probability distributions
experimental studies and observational studies.
Standard error
A probability distribution
Sampling Distribution
25. ?r
methods of least squares
the population cumulants
the population mean
Independence or Statistical independence
26. Is the function that gives the probability distribution of a random variable. It cannot be negative - and its integral on the probability space is equal to 1.
Simulation
A Distribution function
the population mean
Outlier
27. Is a sample and the associated data points.
The Covariance between two random variables X and Y - with expected values E(X) =
A data set
Independence or Statistical independence
nominal - ordinal - interval - and ratio
28. Var[X] :
variance of X
A data point
Step 3 of a statistical experiment
Trend
29. Data are gathered and correlations between predictors and response are investigated.
Block
observational study
Greek letters
An estimate of a parameter
30. Another name for elementary event.
The sample space
Atomic event
Likert scale
the sample or population mean
31. 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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32. Some commonly used symbols for sample statistics
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Sampling Distribution
Sampling frame
Law of Large Numbers
33. 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.
An event
Treatment
Conditional distribution
Binary data
34. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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35. 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
applied statistics
Qualitative variable
Cumulative distribution functions
Skewness
36. Is used to describe probability in a continuous probability distribution. For example - you can't say that the probability of a man being six feet tall is 20% - but you can say he has 20% of chances of being between five and six feet tall. Probabilit
Placebo effect
Probability density
Particular realizations of a random variable
Prior probability
37. Is a parameter that indexes a family of probability distributions.
Law of Parsimony
Average and arithmetic mean
A Statistical parameter
s-algebras
38. Failing to reject a false null hypothesis.
Type 2 Error
Treatment
Posterior probability
the population mean
39. 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
Inferential statistics
Alpha value (Level of Significance)
Law of Large Numbers
Null hypothesis
40. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
Marginal distribution
A probability distribution
Quantitative variable
nominal - ordinal - interval - and ratio
41. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Credence
Binary data
Conditional distribution
Individual
42. 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.
Skewness
Observational study
hypothesis
Marginal distribution
43. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
Observational study
Alpha value (Level of Significance)
Treatment
Likert scale
44. A numerical measure that describes an aspect of a population.
A sampling distribution
Dependent Selection
Parameter
The Range
45. Describes a characteristic of an individual to be measured or observed.
Marginal probability
Variable
A probability density function
Descriptive
46. Statistics involve methods of using information from a sample to draw conclusions regarding the population.
Type II errors
Inferential
Ordinal measurements
the population variance
47. A pairwise independent collection of random variables is a set of random variables any two of which are independent.
Pairwise independence
Outlier
That value is the median value
variance of X
48. 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
Probability and statistics
An event
Interval measurements
Correlation
49. 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.
Random variables
Parameter - or 'statistical parameter'
The Expected value
Simple random sample
50. 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.
Bias
expected value of X
Variability
A random variable