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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
.
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. Involves taking measurements of the system under study - manipulating the system - and then taking additional measurements using the same procedure to determine if the manipulation has modified the values of the measurements.
Bias
An experimental study
inferential statistics
Treatment
2. 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
That is the median value
A data point
Quantitative variable
3. Is the set of possible outcomes of an experiment. For example - the sample space for rolling a six-sided die will be {1 - 2 - 3 - 4 - 5 - 6}.
the population correlation
descriptive statistics
methods of least squares
The sample space
4. The standard deviation of a sampling distribution.
Standard error
An estimate of a parameter
Law of Parsimony
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
5. A numerical measure that describes an aspect of a sample.
Parameter - or 'statistical parameter'
Individual
Statistic
s-algebras
6. A consistent - repeated deviation of the sample statistic from the population parameter in the same direction when many samples are taken.
Outlier
Bias
Confounded variables
The median value
7. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Credence
Step 3 of a statistical experiment
Placebo effect
Individual
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
Probability density
Mutual independence
Seasonal effect
the sample or population mean
9. 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
variance of X
Average and arithmetic mean
Beta value
Null hypothesis
10. 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.
Estimator
f(z) - and its cdf by F(z).
Particular realizations of a random variable
Average and arithmetic mean
11. Some commonly used symbols for sample statistics
nominal - ordinal - interval - and ratio
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
A sampling distribution
Statistics
12. Many statistical methods seek to minimize the mean-squared error - and these are called
Step 3 of a statistical experiment
Lurking variable
Skewness
methods of least squares
13. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively
Probability
Residuals
Simple random sample
Step 2 of a statistical experiment
14. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.
Pairwise independence
Step 1 of a statistical experiment
Law of Large Numbers
A population or statistical population
15. Is its expected value. The mean (or sample mean of a data set is just the average value.
Correlation coefficient
Residuals
The Mean of a random variable
applied statistics
16. 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.
Probability and statistics
Type 1 Error
The median value
Correlation
17. 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
quantitative variables
Descriptive statistics
Inferential statistics
Greek letters
18. 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.
s-algebras
A data point
descriptive statistics
Bias
19. 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
The Range
Marginal distribution
Statistics
20. 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.
Sampling frame
Bias
Divide the sum by the number of values.
Statistic
21. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
The Range
experimental studies and observational studies.
Likert scale
Correlation coefficient
22. 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.
That value is the median value
observational study
applied statistics
A likelihood function
23. Where the null hypothesis is falsely rejected giving a 'false positive'.
Inferential statistics
Type I errors
An event
Parameter
24. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Statistic
Statistical dispersion
Statistical inference
quantitative variables
25. 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.
Statistical adjustment
Lurking variable
A sample
An event
26. 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
Posterior probability
Bias
Step 2 of a statistical experiment
Step 3 of a statistical experiment
27. Is a sample space over which a probability measure has been defined.
A probability space
Particular realizations of a random variable
Law of Large Numbers
P-value
28. 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
Correlation coefficient
Quantitative variable
P-value
29. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.
A probability density function
P-value
Individual
Particular realizations of a random variable
30. Is data that can take only two values - usually represented by 0 and 1.
Binary data
Type I errors
Statistical dispersion
Parameter
31. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
The Range
Posterior probability
An estimate of a parameter
Coefficient of determination
32. A measurement such that the random error is small
A probability space
hypothesis
categorical variables
Reliable measure
33. Are usually written in upper case roman letters: X - Y - etc.
A data point
Random variables
Seasonal effect
Step 1 of a statistical experiment
34. The proportion of the explained variation by a linear regression model in the total variation.
Confounded variables
Coefficient of determination
Individual
Simpson's Paradox
35. 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
Step 3 of a statistical experiment
Binary data
Joint distribution
Step 1 of a statistical experiment
36. 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.
A Distribution function
the population mean
Variability
Type II errors
37. A measure that is relevant or appropriate as a representation of that property.
A population or statistical population
A Statistical parameter
Individual
Valid measure
38. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
the population mean
Step 1 of a statistical experiment
Simple random sample
P-value
39. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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40. Have imprecise differences between consecutive values - but have a meaningful order to those values
A Probability measure
Statistical inference
Ordinal measurements
Statistical adjustment
41. Data are gathered and correlations between predictors and response are investigated.
Experimental and observational studies
Interval measurements
Step 1 of a statistical experiment
observational study
42. Failing to reject a false null hypothesis.
Reliable measure
The Expected value
Type 2 Error
hypotheses
43. 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
Particular realizations of a random variable
Correlation
Type 1 Error
Law of Parsimony
44. 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.
Independent Selection
The median value
Kurtosis
A Statistical parameter
45. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Lurking variable
A statistic
Outlier
descriptive statistics
46. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Law of Parsimony
Statistical adjustment
The average - or arithmetic mean
the population mean
47. Long-term upward or downward movement over time.
expected value of X
A sampling distribution
Trend
The variance of a random variable
48. 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)
An experimental study
A statistic
Interval measurements
Correlation
49. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as
Sampling frame
Alpha value (Level of Significance)
the population variance
categorical variables
50. 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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