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CLEP General Mathematics: Probability And Statistics

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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.






2. 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.






3. 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






4. A pairwise independent collection of random variables is a set of random variables any two of which are independent.






5. 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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6. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.






7. 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






8. 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.






9. Many statistical methods seek to minimize the mean-squared error - and these are called






10. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.






11. Are written in corresponding lower case letters. For example x1 - x2 - ... - xn could be a sample corresponding to the random variable X.






12. 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.






13. 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.






14. Is a subset of the sample space - to which a probability can be assigned. For example - on rolling a die - 'getting a five or a six' is an event (with a probability of one third if the die is fair).






15. Gives the probability of events in a probability space.






16. A consistent - repeated deviation of the sample statistic from the population parameter in the same direction when many samples are taken.






17. 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.






18. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.

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19. 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






20. Is the most commonly used measure of statistical dispersion. It is the square root of the variance - and is generally written s (sigma).






21. Is the probability distribution - under repeated sampling of the population - of a given statistic.






22. In Bayesian inference - this represents prior beliefs or other information that is available before new data or observations are taken into account.






23. Is data that can take only two values - usually represented by 0 and 1.






24. Error also refers to the extent to which individual observations in a sample differ from a central value - such as






25. 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






26. Samples are drawn from two different populations such that there is a matching of the first sample data drawn and a corresponding data value in the second sample data.






27. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.






28. Is the length of the smallest interval which contains all the data.






29. Cov[X - Y] :






30. 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.






31. Design of experiments - using blocking to reduce the influence of confounding variables - and randomized assignment of treatments to subjects to allow unbiased estimates of treatment effects and experimental error. At this stage - the experimenters a






32. Have no meaningful rank order among values.






33. The probability distribution of a sample statistic based on all the possible simple random samples of the same size from a population.






34. 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.






35. A data value that falls outside the overall pattern of the graph.






36. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.






37. Statistical methods can be used for summarizing or describing a collection of data; this is called






38. Probability of rejecting a true null hypothesis.






39. 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






40. Descriptive statistics and inferential statistics (a.k.a. - predictive statistics) together comprise






41. Of a group of numbers is the center point of all those number values.






42. (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






43. Where the null hypothesis is falsely rejected giving a 'false positive'.






44. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically - sometimes they are grouped together as






45. The proportion of the explained variation by a linear regression model in the total variation.






46. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.






47. Statistics involve methods of organizing - picturing - and summarizing information from samples or population.






48. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively






49. Statistics involve methods of using information from a sample to draw conclusions regarding the population.






50. 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.







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