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September 9, 2010
 



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Statistics



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Statistics meets the requirements for both the DSST and ECE examinations. These exams cover material normally taught in a one-semester introductory course in statistics at the undergraduate level. You must have a basic knowledge of algebra. The exam tests the following abilities:
  • Interpretation of various types of data
  • Determination of implications and consequences
  • Performance of statistical calculations
  • Use of abstractions and concrete situations
  • Performance of statistical calculations

Topics covered in this course are:
  • Descriptive Statistics
    • Histograms
    • Averages
    • Standard deviation
    • Normal approximation for data
    • Standard units
    • Areas under the normal curve
    • Quartiles
    • Percentiles

  • Correlation and Regression
    • Scatter diagrams
    • Correlation coefficient
    • Estimation and the line of best fit

  • Probability
    • Basic concepts
    • Dependent and independent events
    • Compatible and incompatible events
    • Binomial formula
    • Combinations and permutations

  • Chance Models and Sampling
    • The law of averages
    • Expected values
    • Standard error
    • Normal approximation
    • Confidence intervals
    • Sample size
    • Sample average
    • Estimating accuracy of sample average

  • Test of Significance
    • Null hypothesis
    • Significance levels
    • Comparing two samples
    • T-test and x2 Test

(Taken from “Principles of Statistics,” DSST Fact Sheet, Thomson Prometric. and from "Excelsior College Examination Content Guide for Statistics," Excelsior College Examinations.)

The required textbook(s) for this course is listed below.

  • Algebra, The Easy Way   
      4th by Downing, Douglas - Barron, 2003
        
    ISBN 9780-7641-1972-9
  • Modern Elementary Statistics   
      12th by Freund, John E. / Perles, Benjamin M. - Pearson Prentice Hall, 2007
        
    ISBN 9780131874398
  • Modern Elementary Statistics Student Solution Manual   
      12th by Freund, John E. / Perles, Benjamin M. - Pearson Prentice Hall, 2007
        
    ISBN 9780131874428