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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. 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
Posterior probability
f(z) - and its cdf by F(z).
Conditional probability
2. ?
the population correlation
Residuals
Qualitative variable
quantitative variables
3. Two variables such that their effects on the response variable cannot be distinguished from each other.
Marginal distribution
Probability density
Likert scale
Confounded variables
4. A numerical measure that describes an aspect of a population.
Joint distribution
Alpha value (Level of Significance)
the population mean
Parameter
5. Is defined as the expected value of random variable (X -
The Covariance between two random variables X and Y - with expected values E(X) =
Kurtosis
the population correlation
Placebo effect
6. 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.
the population mean
Sampling
Law of Parsimony
observational study
7. Have no meaningful rank order among values.
Nominal measurements
Experimental and observational studies
The Mean of a random variable
Mutual independence
8. A numerical measure that describes an aspect of a sample.
Binary data
Statistic
Interval measurements
P-value
9. 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
Statistical dispersion
Probability density
variance of X
Greek letters
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.
Inferential statistics
Prior probability
Probability density functions
Estimator
11. To find the average - or arithmetic mean - of a set of numbers:
Divide the sum by the number of values.
The average - or arithmetic mean
A data point
Variable
12. Are usually written with upper case calligraphic (e.g. F for the set of sets on which we define the probability P)
A population or statistical population
the population mean
s-algebras
Standard error
13. Probability of accepting a false null hypothesis.
Beta value
Coefficient of determination
The Mean of a random variable
A probability density function
14. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Binomial experiment
quantitative variables
hypotheses
Simple random sample
15. 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
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
the sample or population mean
Joint probability
Inferential statistics
16. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Statistical dispersion
A probability space
A sample
Type II errors
17. A subjective estimate of probability.
inferential statistics
Divide the sum by the number of values.
Credence
Standard error
18. Rejecting a true null hypothesis.
Qualitative variable
Type 1 Error
Standard error
Random variables
19. 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'
Credence
Conditional probability
Block
quantitative variables
20. A numerical measure that assesses the strength of a linear relationship between two variables.
Estimator
Statistical dispersion
Correlation coefficient
Kurtosis
21. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise
The Expected value
the sample or population mean
applied statistics
Interval measurements
22. Statistical methods can be used for summarizing or describing a collection of data; this is called
Count data
descriptive statistics
Independence or Statistical independence
P-value
23. E[X] :
Ratio measurements
expected value of X
the population mean
Skewness
24. A list of individuals from which the sample is actually selected.
A data set
Sampling frame
That is the median value
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
25. A measure that is relevant or appropriate as a representation of that property.
the population mean
Probability
Average and arithmetic mean
Valid measure
26. (e.g. ? - b) are commonly used to denote unknown parameters (population parameters).
Kurtosis
Simple random sample
s-algebras
Greek letters
27. Is its expected value. The mean (or sample mean of a data set is just the average value.
The Mean of a random variable
Interval measurements
f(z) - and its cdf by F(z).
Parameter
28. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
An estimate of a parameter
the population cumulants
Individual
Type I errors & Type II errors
29. A measurement such that the random error is small
the sample or population mean
Reliable measure
Cumulative distribution functions
Inferential
30. Cov[X - Y] :
covariance of X and Y
Descriptive statistics
Statistics
Trend
31. Failing to reject a false null hypothesis.
Type 2 Error
Conditional distribution
Divide the sum by the number of values.
Descriptive statistics
32. 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.
Joint distribution
Joint probability
Seasonal effect
Ordinal measurements
33. 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.
An experimental study
Probability density functions
Sample space
Independence or Statistical independence
34. Gives the probability distribution for a continuous random variable.
Sampling Distribution
A probability density function
An event
Probability density
35. 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.
Independence or Statistical independence
That value is the median value
Experimental and observational studies
Simple random sample
36. Describes a characteristic of an individual to be measured or observed.
Marginal probability
Parameter
Variable
That is the median value
37. When there is an even number of values...
That is the median value
Joint probability
Trend
Likert scale
38. Is a set of entities about which statistical inferences are to be drawn - often based on random sampling. One can also talk about a population of measurements or values.
the population mean
the population mean
A population or statistical population
Independent Selection
39. 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.
Conditional distribution
Step 2 of a statistical experiment
Law of Large Numbers
methods of least squares
40. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
Binary data
An estimate of a parameter
Qualitative variable
Power of a test
41. A data value that falls outside the overall pattern of the graph.
the population mean
A population or statistical population
Count data
Outlier
42. 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 probability space
Step 3 of a statistical experiment
Variability
Interval measurements
43. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
Statistical adjustment
Reliable measure
Nominal measurements
Law of Parsimony
44. In Bayesian inference - this represents prior beliefs or other information that is available before new data or observations are taken into account.
Random variables
methods of least squares
Treatment
Prior probability
45. Is the length of the smallest interval which contains all the data.
Individual
Probability and statistics
The Range
Treatment
46. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.
Quantitative variable
Statistical dispersion
Alpha value (Level of Significance)
Pairwise independence
47. Data are gathered and correlations between predictors and response are investigated.
observational study
A data point
the population mean
An estimate of a parameter
48. 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
Ratio measurements
Type 2 Error
A data set
49. Is the probability distribution - under repeated sampling of the population - of a given statistic.
Correlation coefficient
A sampling distribution
Seasonal effect
the population mean
50. 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.
Atomic event
The median value
Count data
the sample or population mean
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