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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. Cov[X - Y] :






2. 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.






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






4. Failing to reject a false null hypothesis.






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






6. A variable describes an individual by placing the individual into a category or a group.






7. Is a parameter that indexes a family of probability distributions.






8. The probability of correctly detecting a false null hypothesis.






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






10. Some commonly used symbols for population parameters






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






12. A list of individuals from which the sample is actually selected.






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






14. 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.






15. 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.






16. 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






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






18. Var[X] :






19. ?r






20. There are two major types of causal statistical studies: In both types of studies - the effect of differences of an independent variable (or variables) on the behavior of the dependent variable are observed. The difference between the two types lies






21. The standard deviation of a sampling distribution.






22. Is a sample space over which a probability measure has been defined.






23. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.






24. 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.






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






26. Data are gathered and correlations between predictors and response are investigated.






27. A group of individuals sharing some common features that might affect the treatment.






28. A numerical measure that describes an aspect of a sample.






29. When there is an even number of values...






30. Have both a meaningful zero value and the distances between different measurements defined; they provide the greatest flexibility in statistical methods that can be used for analyzing the data






31. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.






32. 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






33. To find the average - or arithmetic mean - of a set of numbers:






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






36. 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






37. Is that part of a population which is actually observed.






38. Is a sample and the associated data points.






39. A measurement such that the random error is small






40. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.






41. 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






42. Two events are independent if the outcome of one does not affect that of the other (for example - getting a 1 on one die roll does not affect the probability of getting a 1 on a second roll). Similarly - when we assert that two random variables are i






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






44. 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.






45. 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.






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






47. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.






48. 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.






49. Is the probability of an event - ignoring any information about other events. The marginal probability of A is written P(A). Contrast with conditional probability.






50. 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







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