Introductory Statistics

by Larry Green

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Publisher
Lake Tahoe Community College
Subjects
Statistics
Licence
CC BY 4.0, as LibreTexts states it
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: Data Collection Experiment (Worksheet)
  13. 1.7: Sampling Experiment (Worksheet)
  14. 1.E: Sampling and Data (Exercises)
  15. 2: Descriptive Statistics
  16. 2.1: Prelude to Descriptive Statistics
  17. 2.2: Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
  18. 2.3: Histograms, Frequency Polygons, and Time Series Graphs
  19. 2.4: Measures of the Location of the Data
  20. 2.4E: Measures of the Location of the Data (Exercises)
  21. 2.5: Box Plots
  22. 2.6: Measures of the Center of the Data
  23. 2.7: Skewness and the Mean, Median, and Mode
  24. 2.8: Measures of the Spread of the Data
  25. 2.9: Descriptive Statistics (Worksheet)
  26. 2.E: Descriptive Statistics (Exercises)
  27. 3: Probability Topics
  28. 3.1: Introduction
  29. 3.2: Terminology
  30. 3.3: Independent and Mutually Exclusive Events
  31. 3.4: Two Basic Rules of Probability
  32. 3.5: Contingency Tables
  33. 3.6: Tree and Venn Diagrams
  34. 3.7: Probability Topics (Worksheet)
  35. 3.E: Probability Topics (Exericses)
  36. 4: Discrete Random Variables
  37. 4.1: Prelude to Discrete Random Variables
  38. 4.2: Probability Distribution Function (PDF) for a Discrete Random Variable
  39. 4.3: Mean or Expected Value and Standard Deviation
  40. 4.4: Binomial Distribution
  41. 4.5: Discrete Distribution (Playing Card Experiment)
  42. 4.6: Discrete Distribution (Lucky Dice Experiment)
  43. 4.E: Discrete Random Variables (Exercises)
  44. 5: Continuous Random Variables
  45. 5.1: Introduction
  46. 5.2: Continuous Probability Functions
  47. 5.3: The Uniform Distribution
  48. 5.4: Continuous Distribution (Worksheet)
  49. 5.E: Continuous Random Variables (Exercises)
  50. 5.E: Exercises
  51. 6: The Normal Distribution
  52. 6.1: Prelude to The Normal Distribution
  53. 6.2: The Standard Normal Distribution
  54. 6.1E: The Standard Normal Distribution (Exercises)
  55. 6.3: Using the Normal Distribution
  56. 6.4: Normal Distribution - Lap Times (Worksheet)
  57. 6.5: Normal Distribution - Pinkie Length (Worksheet)
  58. 6.E: The Normal Distribution (Exercises)
  59. 7: The Central Limit Theorem
  60. 7.1: Prelude to the Central Limit Theorem
  61. 7.2: The Central Limit Theorem for Sample Means (Averages)
  62. 7.2E: The Central Limit Theorem for Sample Means (Exercises)
  63. 7.3: The Central Limit Theorem for Sums
  64. 7.4: Using the Central Limit Theorem
  65. 7.4E: Using the Central Limit Theorem (Exercises)
  66. 7.5: Central Limit Theorem - Pocket Change (Worksheet)
  67. 7.6: Central Limit Theorem - Cookie Recipes (Worksheet)
  68. 7.E: The Central Limit Theorem (Exercises)
  69. 8: Confidence Intervals
  70. 8.1: Prelude to Confidence Intervals
  71. 8.2: A Single Population Mean using the Normal Distribution
  72. 8.2E: A Single Population Mean using the Normal Distribution (Exercises)
  73. 8.3: A Single Population Mean using the Student t-Distribution
  74. 8.4: A Population Proportion
  75. 8.5: Confidence Interval - Home Costs (Worksheet)
  76. 8.6: Confidence Interval -Place of Birth (Worksheet)
  77. 8.7: Confidence Interval -Women's Heights (Worksheet)
  78. 8.E: Confidence Intervals (Exercises)
  79. 8.S: Confidence Intervals (Summary)
  80. 9: Hypothesis Testing with One Sample
  81. 9.1: Prelude to Hypothesis Testing
  82. 9.2: Null and Alternative Hypotheses
  83. 9.1E: Null and Alternative Hypotheses (Exercises)
  84. 9.3: Outcomes and the Type I and Type II Errors
  85. 9.2E: Outcomes and the Type I and Type II Errors (Exercises)
  86. 9.4: Distribution Needed for Hypothesis Testing
  87. 9.3E: Distribution Needed for Hypothesis Testing (Exercises)
  88. 9.5: Rare Events, the Sample, Decision and Conclusion
  89. 9.4E: Rare Events, the Sample, Decision and Conclusion (Exercises)
  90. 9.6: Additional Information and Full Hypothesis Test Examples
  91. 9.7: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  92. 9.E: Hypothesis Testing with One Sample (Exercises)
  93. 10: Hypothesis Testing and Confidence Intervals with Two Samples
  94. 10.1: Prelude to Hypothesis Testing with Two Samples
  95. 10.2: Two Population Means with Unknown Standard Deviations
  96. 10.3: Two Population Means with Known Standard Deviations
  97. 10.4: Comparing Two Independent Population Proportions
  98. 10.5: Matched or Paired Samples
  99. 10.6: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  100. 10.E: Hypothesis Testing with Two Samples (Exercises)
  101. 11: The Chi-Square Distribution
  102. 11.1: Prelude to The Chi-Square Distribution
  103. 11.2: Facts About the Chi-Square Distribution
  104. 11.3: Goodness-of-Fit Test
  105. 11.4: Test of Independence
  106. 11.5: Test for Homogeneity
  107. 11.6: Comparison of the Chi-Square Tests
  108. 11.7: Test of a Single Variance (Not Included in the Course)
  109. 11.8: Lab 1: Chi-Square Goodness-of-Fit (Worksheet)
  110. 11.9: Lab 2: Chi-Square Test of Independence (Worksheet)
  111. 11.E: The Chi-Square Distribution (Exercises)
  112. 12: Linear Regression and Correlation
  113. 12.1: Prelude to Linear Regression and Correlation
  114. 12.2: Linear Equations
  115. 12.2E: Linear Equations (Exercises)
  116. 12.3: Scatter Plots
  117. 12.3E: Scatter Plots (Exercises)
  118. 12.4: The Regression Equation
  119. 12.4E: The Regression Equation (Exercise)
  120. 12.5: Testing the Significance of the Correlation Coefficient
  121. 12.5E: Testing the Significance of the Correlation Coefficient (Exercises)
  122. 12.6: Prediction
  123. 12.6E: Prediction (Exercises)
  124. 12.7: Outliers
  125. 12.7E: Outliers (Exercises)
  126. 12.8: Regression - Distance from School (Worksheet)
  127. 12.9: Regression - Textbook Cost (Worksheet)
  128. 12.10: Regression - Fuel Efficiency (Worksheet)
  129. 12.E: Linear Regression and Correlation (Exercises)
  130. 13: F Distribution and One-Way ANOVA
  131. 13.1: Prelude to F Distribution and One-Way ANOVA
  132. 13.2: One-Way ANOVA
  133. 13.3: The F Distribution and the F-Ratio
  134. 13.4: Facts About the F Distribution
  135. 13.5: Lab: One-Way ANOVA
  136. 13.E: F Distribution and One-Way ANOVA (Exercises)
  137. Back Matter
  138. Index
  139. Glossary
  140. Detailed Licensing