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Contents - Lessons & Practice

Math

Statistics

OpenStax book

OS

Chapter set

Statistics

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Questions from the 13 chapters of Statistics. Each item asks for a term, a definition, or a claim the chapter itself states.

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OpenStax

Statistics

13 lessons

One lesson for each chapter of Statistics, in the book’s order. The lesson teaches what that chapter says you need to know, then checks it.

  1. 1Sampling and DataThe science of statistics deals with the collection, analysis, interpretation, and presentation of data .
  2. 2Descriptive StatisticsEach data point in one data set is matched with exactly one point from the other set
  3. 3Probability TopicsProbability is a measure that is associated with how certain we are of results, or outcomes, of a particular activity.
  4. 4Discrete Random VariablesThe probability p of a success is the same for any trial (so the probability q = 1 - p of a failure is the same for any trial)
  5. 5Continuous Random VariablesSince the maximum probability is one, the maximum area is also one.
  6. 6The Normal DistributionThe standardized normal distribution is a type of normal distribution, with a mean of 0 and standard deviation of 1.
  7. 7The Central Limit TheoremThe sampling distribution of the mean approaches a normal distribution as n , the sample size , increases
  8. 8Confidence IntervalsInformation that is known about the distribution (for example, known standard deviation), and
  9. 9Hypothesis Testing with One SampleA bell-shaped continuous random variable X , with center at the mean value ( μ ) and distance from the center to the inflection points of the bell curve given by the standard deviation ( σ ) We write X ~ N ( μ , σ ) .
  10. 10Hypothesis Testing with Two SamplesThe domain of the random variable (RV) is not necessarily a numerical set; the domain may be expressed in words; for example, if X = hair color, then the domain is {black, blond, gray, green, orange}
  11. 11The Chi-Square DistributionFor the χ 2 distribution, the population mean is μ = df , and the population standard deviation is σ = 2 ( d f )
  12. 12Linear Regression and CorrelationThe variable x is the independent variable ; y is the dependent variable .
  13. 13F Distribution and One-way AnovaThe test statistic for analysis of variance is the F ratio