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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. 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






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






3. In number theory - scatter plots of data generated by a distribution function may be transformed with familiar tools used in statistics to reveal underlying patterns - which may then lead to






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






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






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






7. 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.






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






9. Is a measure of the 'peakedness' of the probability distribution of a real-valued random variable. Higher kurtosis means more of the variance is due to infrequent extreme deviations - as opposed to frequent modestly sized deviations.






10. 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.






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






12. 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






13. Probability of rejecting a true null hypothesis.






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






15. 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.






16. Is a sample and the associated data points.






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






18. 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.






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

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






21. Are usually written in upper case roman letters: X - Y - etc.






22. Some commonly used symbols for sample statistics






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






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






25. Is the probability of two events occurring together. The joint probability of A and B is written P(A and B) or P(A - B).






26. 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.






27. Cov[X - Y] :






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






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






30. 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






31. 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.






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






33. A measurement such that the random error is small






34. Some commonly used symbols for population parameters






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






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






37. ?






38. Is a measure of the asymmetry of the probability distribution of a real-valued random variable. Roughly speaking - a distribution has positive skew (right-skewed) if the higher tail is longer and negative skew (left-skewed) if the lower tail is longe






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






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






41. When you have two or more competing models - choose the simpler of the two models.






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






43. The standard deviation of a sampling distribution.






44. 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






45. 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






46. 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






47. 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)






48. 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






49. Any specific experimental condition applied to the subjects






50. Probability of accepting a false null hypothesis.







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