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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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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. Gives the probability distribution for a continuous random variable.
The median value
Skewness
A probability density function
Seasonal effect
2. When you have two or more competing models - choose the simpler of the two models.
Law of Parsimony
Quantitative variable
Joint distribution
Likert scale
3. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
A random variable
categorical variables
nominal - ordinal - interval - and ratio
variance of X
4. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data
Posterior probability
The standard deviation
the sample or population mean
Type 2 Error
5. A pairwise independent collection of random variables is a set of random variables any two of which are independent.
Pairwise independence
Simulation
Conditional probability
The Expected value
6. (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
A likelihood function
Type II errors
Valid measure
nominal - ordinal - interval - and ratio
7. A subjective estimate of probability.
inferential statistics
Credence
An Elementary event
Bias
8. 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.
The average - or arithmetic mean
Skewness
Kurtosis
Descriptive statistics
9. Any specific experimental condition applied to the subjects
The median value
An experimental study
Treatment
Sampling
10. The standard deviation of a sampling distribution.
Statistics
Binomial experiment
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
Standard error
11. E[X] :
Inferential
expected value of X
The median value
Descriptive statistics
12. To find the average - or arithmetic mean - of a set of numbers:
Probability density
Beta value
Outlier
Divide the sum by the number of values.
13. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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14. 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)
hypotheses
Interval measurements
Pairwise independence
Statistics
15. (or expectation) of a random variable is the sum of the probability of each possible outcome of the experiment multiplied by its payoff ('value'). Thus - it represents the average amount one 'expects' to win per bet if bets with identical odds are re
Sampling
The Expected value
Quantitative variable
A Statistical parameter
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
the population mean
the population variance
Ordinal measurements
inferential statistics
17. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Statistic
That value is the median value
Statistical dispersion
descriptive statistics
18. 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
Observational study
Correlation
Likert scale
Probability density functions
19. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as
An Elementary event
the population correlation
categorical variables
A population or statistical population
20. The probability of correctly detecting a false null hypothesis.
Individual
The Covariance between two random variables X and Y - with expected values E(X) =
A statistic
Power of a test
21. Long-term upward or downward movement over time.
Trend
Lurking variable
Quantitative variable
Divide the sum by the number of values.
22. 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.
Type I errors & Type II errors
Seasonal effect
Statistics
Conditional probability
23. Some commonly used symbols for population parameters
Step 2 of a statistical experiment
Probability
experimental studies and observational studies.
the population mean
24. 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
A sampling distribution
An experimental study
Step 3 of a statistical experiment
Statistical inference
25. 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.
Average and arithmetic mean
Random variables
A population or statistical population
Experimental and observational studies
26. Two variables such that their effects on the response variable cannot be distinguished from each other.
Seasonal effect
Parameter
quantitative variables
Confounded variables
27. Is a parameter that indexes a family of probability distributions.
Step 1 of a statistical experiment
Conditional probability
A Statistical parameter
Statistical adjustment
28. 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.
Placebo effect
Probability density functions
Conditional distribution
Individual
29. Are usually written in upper case roman letters: X - Y - etc.
Random variables
Observational study
Statistical dispersion
the population mean
30. A measure that is relevant or appropriate as a representation of that property.
Valid measure
the population mean
Experimental and observational studies
f(z) - and its cdf by F(z).
31. Are simply two different terms for the same thing. Add the given values
Descriptive statistics
Average and arithmetic mean
Bias
Interval measurements
32. Describes a characteristic of an individual to be measured or observed.
Variable
Residuals
Pairwise independence
Statistic
33. In particular - the pdf of the standard normal distribution is denoted by
f(z) - and its cdf by F(z).
Simple random sample
Probability
the population mean
34. 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
observational study
The Range
Step 1 of a statistical experiment
Law of Parsimony
35. Many statistical methods seek to minimize the mean-squared error - and these are called
methods of least squares
Law of Large Numbers
Type I errors & Type II errors
Simpson's Paradox
36. Is the length of the smallest interval which contains all the data.
A Probability measure
The Range
inferential statistics
the population mean
37. 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.
the population correlation
Step 2 of a statistical experiment
Estimator
Particular realizations of a random variable
38. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Bias
Simple random sample
Binomial experiment
Skewness
39. 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
Probability density functions
Probability and statistics
40. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
the population cumulants
Particular realizations of a random variable
Step 3 of a statistical experiment
A random variable
41. 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
The average - or arithmetic mean
Correlation
Step 3 of a statistical experiment
Probability density
42. Is that part of a population which is actually observed.
Law of Parsimony
Standard error
A sample
Statistical dispersion
43. 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
Null hypothesis
hypotheses
An experimental study
44. Of a group of numbers is the center point of all those number values.
Average and arithmetic mean
The average - or arithmetic mean
applied statistics
hypotheses
45. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
The Expected value
Independence or Statistical independence
Statistical adjustment
Probability density functions
46. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
Correlation
Reliable measure
s-algebras
Probability density functions
47. 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.
A data point
Independent Selection
Outlier
Descriptive statistics
48. Is a sample space over which a probability measure has been defined.
A Random vector
A probability space
Experimental and observational studies
Type 2 Error
49. Some commonly used symbols for sample statistics
The Mean of a random variable
Law of Large Numbers
Particular realizations of a random variable
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
50. The proportion of the explained variation by a linear regression model in the total variation.
Coefficient of determination
Correlation coefficient
Variability
Statistical inference