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Introductory Statistics

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Introductory Statistics

This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Statistics
Author
Barbara Illowsky & Susan Dean
Publisher
De Anza College
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 138 sections
  1. 01: Sampling and Data
  2. 1.00: Introduction
  3. 1.01: Definitions of Statistics Probability and Key Terms
  4. 1.02: Data Sampling and Variation in Data and Sampling
  5. 1.03: Frequency Frequency Tables and Levels of Measurement
  6. 1.04: Experimental Design and Ethics
  7. 1.05: Data Collection Experiment (Worksheet)
  8. 1.06: Sampling Experiment (Worksheet)
  9. 1.E: Sampling and Data (Exercises)
  10. 02: Descriptive Statistics
  11. 2.00: Prelude to Descriptive Statistics
  12. 2.01: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  13. 2.02: Histograms Frequency Polygons and Time Series Graphs
  14. 2.03: Measures of the Location of the Data
  15. 2.3E: Measures of the Location of the Data (Exercises)
  16. 2.04: Box Plots
  17. 2.05: Measures of the Center of the Data
  18. 2.06: Skewness and the Mean Median and Mode
  19. 2.07: Measures of the Spread of the Data
  20. 2.08: Descriptive Statistics (Worksheet)
  21. 2.E: Descriptive Statistics (Exercises)
  22. 03: Probability Topics
  23. 3.00: Introduction
  24. 3.01: Terminology
  25. 3.02: Independent and Mutually Exclusive Events
  26. 3.03: Two Basic Rules of Probability
  27. 3.04: Contingency Tables
  28. 3.05: Tree and Venn Diagrams
  29. 3.06: Permutations and Combinations
  30. 3.07: Probability Topics (Worksheet)
  31. 3.E: Probability Topics (Exericses)
  32. 04: Discrete Random Variables
  33. 4.00: Prelude to Discrete Random Variables
  34. 4.01: Probability Distribution Function (PDF) for a Discrete Random Variable
  35. 4.02: Mean or Expected Value and Standard Deviation
  36. 4.03: Binomial Distribution
  37. 4.04: Geometric Distribution
  38. 4.05: Hypergeometric Distribution
  39. 4.06: Poisson Distribution
  40. 4.07: Discrete Distribution (Playing Card Experiment)
  41. 4.08: Discrete Distribution (Lucky Dice Experiment)
  42. 4.E: Discrete Random Variables (Exercises)
  43. 05: Continuous Random Variables
  44. 5.00: Introduction
  45. 5.01: Continuous Probability Functions
  46. 5.02: The Uniform Distribution
  47. 5.03: The Exponential Distribution
  48. 5.04: Continuous Distribution (Worksheet)
  49. 5.E: Continuous Random Variables (Exercises)
  50. 5.E: Exercises
  51. 06: The Normal Distribution
  52. 6.00: Prelude to The Normal Distribution
  53. 6.01: The Standard Normal Distribution
  54. 6.1E: The Standard Normal Distribution (Exercises)
  55. 6.02: Using the Normal Distribution
  56. 6.03: Normal Distribution - Lap Times (Worksheet)
  57. 6.04: Normal Distribution - Pinkie Length (Worksheet)
  58. 6.E: The Normal Distribution (Exercises)
  59. 07: The Central Limit Theorem
  60. 7.00: Prelude to the Central Limit Theorem
  61. 7.01: The Central Limit Theorem for Sample Means (Averages)
  62. 7.1E: The Central Limit Theorem for Sample Means (Exercises)
  63. 7.02: The Central Limit Theorem for Sample Proportions
  64. 7.02A: The Central Limit Theorem for Sums
  65. 7.03: Using the Central Limit Theorem
  66. 7.3E: Using the Central Limit Theorem (Exercises)
  67. 7.04: Central Limit Theorem - Pocket Change (Worksheet)
  68. 7.05: Central Limit Theorem - Cookie Recipes (Worksheet)
  69. 7.E: The Central Limit Theorem (Exercises)
  70. 08: Confidence Intervals
  71. 8.00: Prelude to Confidence Intervals
  72. 8.01: A Single Population Mean using the Normal Distribution
  73. 8.1E: A Single Population Mean using the Normal Distribution (Exercises)
  74. 8.02: A Single Population Mean using the Student t-Distribution
  75. 8.03: A Population Proportion
  76. 8.04: Confidence Interval - Home Costs (Worksheet)
  77. 8.05: Confidence Interval -Place of Birth (Worksheet)
  78. 8.06: Confidence Interval -Women's Heights (Worksheet)
  79. 8.E: Confidence Intervals (Exercises)
  80. 8.S: Confidence Intervals (Summary)
  81. 09: Hypothesis Testing with One Sample
  82. 9.00: Prelude to Hypothesis Testing
  83. 9.01: Null and Alternative Hypotheses
  84. 9.1E: Null and Alternative Hypotheses (Exercises)
  85. 9.02: Outcomes and the Type I and Type II Errors
  86. 9.2E: Outcomes and the Type I and Type II Errors (Exercises)
  87. 9.03: Distribution Needed for Hypothesis Testing
  88. 9.3E: Distribution Needed for Hypothesis Testing (Exercises)
  89. 9.04: Rare Events the Sample Decision and Conclusion
  90. 9.4E: Rare Events the Sample Decision and Conclusion (Exercises)
  91. 9.05: Additional Information and Full Hypothesis Test Examples
  92. 9.06: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  93. 9.E: Hypothesis Testing with One Sample (Exercises)
  94. 10: Hypothesis Testing with Two Samples
  95. 10.00: Prelude to Hypothesis Testing with Two Samples
  96. 10.01: Two Population Means with Unknown Standard Deviations
  97. 10.02: Two Population Means with Known Standard Deviations
  98. 10.03: Comparing Two Independent Population Proportions
  99. 10.04: Matched or Paired Samples
  100. 10.05: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  101. 10.E: Hypothesis Testing with Two Samples (Exercises)
  102. 11: The Chi-Square Distribution
  103. 11.00: Prelude to The Chi-Square Distribution
  104. 11.01: Facts About the Chi-Square Distribution
  105. 11.02: Goodness-of-Fit Test
  106. 11.03: Test of Independence
  107. 11.04: Test for Homogeneity
  108. 11.05: Comparison of the Chi-Square Tests
  109. 11.06: Test of a Single Variance
  110. 11.07: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
  111. 11.08: Lab 2- Chi-Square Test of Independence (Worksheet)
  112. 11.E: The Chi-Square Distribution (Exercises)
  113. 12: Linear Regression and Correlation
  114. 12.00: Prelude to Linear Regression and Correlation
  115. 12.01: Linear Equations
  116. 12.1E: Linear Equations (Exercises)
  117. 12.02: Scatter Plots
  118. 12.2E: Scatter Plots (Exercises)
  119. 12.03: The Regression Equation
  120. 12.3E: The Regression Equation (Exercise)
  121. 12.04: Testing the Significance of the Correlation Coefficient
  122. 12.4E: Testing the Significance of the Correlation Coefficient (Exercises)
  123. 12.05: Prediction
  124. 12.5E: Prediction (Exercises)
  125. 12.06: Outliers
  126. 12.6E: Outliers (Exercises)
  127. 12.07: Regression - Distance from School (Worksheet)
  128. 12.08: Regression - Textbook Cost (Worksheet)
  129. 12.09: Regression - Fuel Efficiency (Worksheet)
  130. 12.E: Linear Regression and Correlation (Exercises)
  131. 13: F Distribution and One-Way ANOVA
  132. 13.00: Prelude to F Distribution and One-Way ANOVA
  133. 13.01: One-Way ANOVA
  134. 13.02: The F Distribution and the F-Ratio
  135. 13.03: Facts About the F Distribution
  136. 13.04: Test of Two Variances
  137. 13.05: Lab- One-Way ANOVA
  138. 13.E: F Distribution and One-Way ANOVA (Exercises)