STAT 200: Elementary Statistics

by Debbie Gaydos

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Publisher
Penn State University Greater Allegheny
Subjects
Statistics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Sampling and Data
  7. 1.1: Introduction
  8. 1.2: Definitions of Statistics, Probability, and Key Terms
  9. 1.3: Data, Sampling, and Variation in Data and Sampling
  10. 1.4: Frequency, Frequency Tables, and Levels of Measurement
  11. 1.5: Experimental Design and Ethics
  12. 1.6: Sampling and Data (Exercises)
  13. 2: Descriptive Statistics
  14. 2.1: Prelude to Descriptive Statistics
  15. 2.2: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
  16. 2.3: Histograms, Frequency Polygons, and Time Series Graphs
  17. 2.4: Measures of the Location of the Data
  18. 2.4.1: Measures of the Location of the Data (Exercises)
  19. 2.5: Box Plots
  20. 2.6: Measures of the Center of the Data
  21. 2.7: Skewness and the Mean, Median, and Mode
  22. 2.8: Measures of the Spread of the Data
  23. 2.9: Descriptive Statistics (Exercises)
  24. 3: Probability Topics
  25. 3.1: Introduction
  26. 3.2: Terminology
  27. 3.3: Independent and Mutually Exclusive Events
  28. 3.4: Two Basic Rules of Probability
  29. 3.5: Contingency Tables
  30. 3.6: Tree and Venn Diagrams
  31. 3.7: Probability Topics (Exericses)
  32. 4: Discrete Random Variables
  33. 4.1: Prelude to Discrete Random Variables
  34. 4.2: Probability Distribution Function (PDF) for a Discrete Random Variable
  35. 4.3: Mean or Expected Value and Standard Deviation
  36. 4.4: Binomial Distribution
  37. 4.5: Discrete Random Variables (Exercises)
  38. 5: Continuous Random Variables
  39. 5.1: Introduction
  40. 5.2: Continuous Probability Functions
  41. 5.3: The Uniform Distribution
  42. 5.4: Exercises
  43. 6: The Normal Distribution
  44. 6.1: Prelude to The Normal Distribution
  45. 6.2: The Standard Normal Distribution
  46. 6.2.1: The Standard Normal Distribution (Exercises)
  47. 6.3: Using the Normal Distribution
  48. 6.4: The Normal Distribution (Exercises)
  49. 7: Sampling Distributions and the Central Limit Theorem
  50. 7.1: The Mean and Standard Deviation of the Sample Mean
  51. 7.2: The Sampling Distribution of the Sample Mean
  52. 7.3: The Sample Proportion
  53. 7.4: Sampling Distributions (Exercises)
  54. 8: Confidence Intervals
  55. 8.1: Prelude to Confidence Intervals
  56. 8.2: A Single Population Mean using the Normal Distribution
  57. 8.2.1: A Single Population Mean using the Normal Distribution (Exercises)
  58. 8.3: A Single Population Mean using the Student t-Distribution
  59. 8.4: A Population Proportion
  60. 8.5: Confidence Intervals (Exercises)
  61. 8.6: Confidence Intervals (Summary)
  62. 9: Hypothesis Testing with One Sample
  63. 9.1: Prelude to Hypothesis Testing
  64. 9.2: Null and Alternative Hypotheses
  65. 9.2.1: Null and Alternative Hypotheses (Exercises)
  66. 9.3: Outcomes and the Type I and Type II Errors
  67. 9.3.1: Outcomes and the Type I and Type II Errors (Exercises)
  68. 9.4: Distribution Needed for Hypothesis Testing
  69. 9.4.1: Distribution Needed for Hypothesis Testing (Exercises)
  70. 9.5: Rare Events, the Sample, Decision and Conclusion
  71. 9.5.1: Rare Events, the Sample, Decision and Conclusion (Exercises)
  72. 9.6: Additional Information and Full Hypothesis Test Examples
  73. 9.7: Hypothesis Testing with One Sample (Exercises)
  74. 10: Hypothesis Testing with Two Samples
  75. 10.1: Prelude to Hypothesis Testing with Two Samples
  76. 10.2: Two Population Means with Unknown Standard Deviations
  77. 10.3: Two Population Means with Known Standard Deviations
  78. 10.4: Comparing Two Independent Population Proportions
  79. 10.5: Matched or Paired Samples
  80. 10.6: Hypothesis Testing with Two Samples (Exercises)
  81. 11: The Chi-Square Distribution
  82. 11.1: Prelude to The Chi-Square Distribution
  83. 11.2: Facts About the Chi-Square Distribution
  84. 11.3: Goodness-of-Fit Test
  85. 11.4: Test of Independence
  86. 11.5: Test for Homogeneity
  87. 11.6: Comparison of the Chi-Square Tests
  88. 11.7: Test of a Single Variance
  89. 11.8: The Chi-Square Distribution (Exercises)
  90. 12: Linear Regression and Correlation
  91. 12.1: Prelude to Linear Regression and Correlation
  92. 12.2: Linear Equations
  93. 12.2.1: Linear Equations (Exercises)
  94. 12.3: Scatter Plots
  95. 12.3.1: Scatter Plots (Exercises)
  96. 12.4: The Regression Equation
  97. 12.4.1: The Regression Equation (Exercise)
  98. 12.5: Testing the Significance of the Correlation Coefficient
  99. 12.5.1: Testing the Significance of the Correlation Coefficient (Exercises)
  100. 12.6: Prediction
  101. 12.6.1: Prediction (Exercises)
  102. 12.7: Outliers
  103. 12.7.1: Outliers (Exercises)
  104. 12.8: Linear Regression and Correlation (Exercises)
  105. 13: F Distribution and One-Way ANOVA
  106. 13.1: Prelude to F Distribution and One-Way ANOVA
  107. 13.2: One-Way ANOVA
  108. 13.3: The F Distribution and the F-Ratio
  109. 13.4: Facts About the F Distribution
  110. 13.5: Test of Two Variances
  111. 13.6: F Distribution and One-Way ANOVA (Exercises)
  112. Back Matter
  113. Index
  114. Glossary
  115. Detailed Licensing
  116. Detailed Licensing