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Math 120: Introductory Statistics

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Math 120: Introductory Statistics

This text covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, correlation and regression and Chi-Square Distribution with applications.

Statistics
Author
Nancy Ikeda
Publisher
Fullerton College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 137 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: Introduction
  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
  23. 3.01: Introduction
  24. 3.02: Three Types of Probability
  25. 3.03: Complement Rule
  26. 3.04: Union and Intersection
  27. 3.05: Independent Events
  28. 3.06: Conditional Probability
  29. 3.07: Counting Rules
  30. 3.08: Chapter 3 Formulas
  31. 3.09: Chapter 3 Exercises
  32. 04: Discrete Random Variables
  33. 4.00: Introduction
  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: Introduction
  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: Introduction
  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 Sums
  64. 7.03: Using the Central Limit Theorem
  65. 7.3E: Using the Central Limit Theorem (Exercises)
  66. 7.04: Central Limit Theorem - Pocket Change (Worksheet)
  67. 7.05: Central Limit Theorem - Cookie Recipes (Worksheet)
  68. 7.E: The Central Limit Theorem (Exercises)
  69. 08: Confidence Intervals
  70. 8.00: Introduction
  71. 8.01: A Single Population Mean using the Normal Distribution
  72. 8.1E: A Single Population Mean using the Normal Distribution (Exercises)
  73. 8.02: A Single Population Mean using the Student t-Distribution
  74. 8.03: A Population Proportion
  75. 8.04: Confidence Interval - Home Costs (Worksheet)
  76. 8.05: Confidence Interval -Place of Birth (Worksheet)
  77. 8.06: Confidence Interval -Women's Heights (Worksheet)
  78. 8.E: Confidence Intervals (Exercises)
  79. 8.S: Confidence Intervals (Summary)
  80. 09: Hypothesis Testing with One Sample
  81. 9.00: Introduction
  82. 9.01: Null and Alternative Hypotheses
  83. 9.1E: Null and Alternative Hypotheses (Exercises)
  84. 9.02: Outcomes and the Type I and Type II Errors
  85. 9.2E: Outcomes and the Type I and Type II Errors (Exercises)
  86. 9.03: Distribution Needed for Hypothesis Testing
  87. 9.3E: Distribution Needed for Hypothesis Testing (Exercises)
  88. 9.04: Rare Events the Sample Decision and Conclusion
  89. 9.4E: Rare Events the Sample Decision and Conclusion (Exercises)
  90. 9.05: Additional Information and Full Hypothesis Test Examples
  91. 9.06: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  92. 9.E: Hypothesis Testing with One Sample (Exercises)
  93. 10: Hypothesis Testing with Two Samples
  94. 10.00: Introduction
  95. 10.01: Two Population Means with Unknown Standard Deviations
  96. 10.02: Two Population Means with Known Standard Deviations
  97. 10.03: Comparing Two Independent Population Proportions
  98. 10.04: Matched or Paired Samples
  99. 10.05: 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. 11.00: Introduction
  103. 11.01: Facts About the Chi-Square Distribution
  104. 11.02: Goodness-of-Fit Test
  105. 11.03: Test of Independence
  106. 11.04: Test for Homogeneity
  107. 11.05: Comparison of the Chi-Square Tests
  108. 11.06: Test of a Single Variance
  109. 11.07: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
  110. 11.08: Lab 2- Chi-Square Test of Independence (Worksheet)
  111. 11.E: The Chi-Square Distribution (Exercises)
  112. 12: Linear Regression and Correlation
  113. 12.00: Introduction
  114. 12.01: Linear Equations
  115. 12.1E: Linear Equations (Exercises)
  116. 12.02: Scatter Plots
  117. 12.2E: Scatter Plots (Exercises)
  118. 12.03: The Regression Equation
  119. 12.3E: The Regression Equation (Exercise)
  120. 12.04: Testing the Significance of the Correlation Coefficient
  121. 12.4E: Testing the Significance of the Correlation Coefficient (Exercises)
  122. 12.05: Prediction
  123. 12.5E: Prediction (Exercises)
  124. 12.06: Outliers
  125. 12.6E: Outliers (Exercises)
  126. 12.07: Regression - Distance from School (Worksheet)
  127. 12.08: Regression - Textbook Cost (Worksheet)
  128. 12.09: Regression - Fuel Efficiency (Worksheet)
  129. 12.E: Linear Regression and Correlation (Exercises)
  130. 13: F Distribution and One-Way ANOVA
  131. 13.00: Introduction
  132. 13.01: One-Way ANOVA
  133. 13.02: The F Distribution and the F-Ratio
  134. 13.03: Facts About the F Distribution
  135. 13.04: Test of Two Variances
  136. 13.05: Lab- One-Way ANOVA
  137. 13.E: F Distribution and One-Way ANOVA (Exercises)