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






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






3. Probability of rejecting a true null hypothesis.






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. (or atomic event) is an event with only one element. For example - when pulling a card out of a deck - 'getting the jack of spades' is an elementary event - while 'getting a king or an ace' is not.






6. S^2






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






8. 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.






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






10. 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.






11. 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.






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






13. Is the study of the collection - organization - analysis - and interpretation of data. It deals with all aspects of this - including the planning of data collection in terms of the design of surveys and experiments.






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. 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






16. 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.






17. Gives the probability distribution for a continuous random variable.






18. 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






19. 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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20. 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.






21. 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).






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






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






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






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






26. 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






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






28. 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.






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






30. Any specific experimental condition applied to the subjects






31. (e.g. ? - b) are commonly used to denote unknown parameters (population parameters).






32. Long-term upward or downward movement over time.






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






34. Is data arising from counting that can take only non-negative integer values.






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






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






37. 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.






38. Describes a characteristic of an individual to be measured or observed.






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






40. A numerical facsimilie or representation of a real-world phenomenon.






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






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






43. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as






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






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






46. 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.






47. 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






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






49. Describes the spread in the values of the sample statistic when many samples are taken.






50. 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







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