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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. In the long run - as the sample size increases - the relative frequencies of outcomes approach to the theoretical probability.






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






3. 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






4. 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}.






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






6. 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.






7. Is a function that gives the probability of all elements in a given space: see List of probability distributions






8. Cov[X - Y] :






9. The collection of all possible outcomes in an experiment.






10. Working from a null hypothesis two basic forms of error are recognized:






11. 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)






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






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






14. Is inference about a population from a random sample drawn from it or - more generally - about a random process from its observed behavior during a finite period of time.






15. 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






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






17. (cdfs) are denoted by upper case letters - e.g. F(x).






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






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






20. A variable has a value or numerical measurement for which operations such as addition or averaging make sense.






21. 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.






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






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






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






25. (or multivariate random variable) is a vector whose components are random variables on the same probability space.






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

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






28. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.






29. The standard deviation of a sampling distribution.






30. Is its expected value. The mean (or sample mean of a data set is just the average value.






31. 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






32. Some commonly used symbols for population parameters






33. Are simply two different terms for the same thing. Add the given values






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






35. 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






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






37. Is used in 'mathematical statistics' (alternatively - 'statistical theory') to study the sampling distributions of sample statistics and - more generally - the properties of statistical procedures. The use of any statistical method is valid when the






38. 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






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






40. 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.






41.






42. E[X] :






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






44. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data






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






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






47. A numerical measure that assesses the strength of a linear relationship between two variables.






48. 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.






49. 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.






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







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