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Introduction to Statistics (MATH 025, CID: 110)

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Introduction to Statistics (MATH 025, CID: 110)

This is an introduction to the use of predictive techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings.

Statistics
Author
Lynn Mann
Publisher
Coalinga College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 110 sections
  1. 01: Sampling and Descriptive Statistics
  2. 1.01: Introduction
  3. 1.02: Definitions of Statistics Probability and Key Terms
  4. 1.03: Data Sampling and Variation in Data and Sampling
  5. 1.04: Frequency Frequency Tables and Levels of Measurement
  6. 1.4.01: Completing a Frequency Relative and Cumulative Relative Frequency Table (Activity)
  7. 1.05: Experimental Design and Ethics
  8. 1.06: Prelude to Descriptive Statistics
  9. 1.07: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  10. 1.08: Histograms Frequency Polygons and Time Series Graphs
  11. 1.09: Box Plots
  12. 1.9.01: The Box Plot Creation Game (Activity)
  13. 1.10: Measures of the Location of the Data
  14. 1.11: Measures of the Center of the Data
  15. 1.12: Measures of the Spread of the Data
  16. 1.12.01: Guess the Standard Deviation Game (Activity)
  17. 1.13: Skewness and the Mean Median and Mode
  18. 02: Probability Topics
  19. 2.01: Introduction
  20. 2.02: Terminology
  21. 2.03: Independent and Mutually Exclusive Events
  22. 2.04: Two Basic Rules of Probability
  23. 2.05: Contingency Tables
  24. 2.06: Tree and Venn Diagrams
  25. 03: Discrete Distributions
  26. 3.01: Prelude to Discrete Random Variables
  27. 3.02: Probability Distribution Function (PDF) for a Discrete Random Variable
  28. 3.03: Mean or Expected Value and Standard Deviation
  29. 3.04: Binomial Distribution
  30. 3.05: Geometric Distribution
  31. 3.06: Poisson Distribution
  32. 04: Continuous Distributions
  33. 4.01: Prelude to The Normal Distribution
  34. 4.02: The Standard Normal Distribution
  35. 4.03: Using the Normal Distribution
  36. 4.04: Normal Distribution - Lap Times (Worksheet)
  37. 4.05: Prelude to the Central Limit Theorem
  38. 4.06: The Central Limit Theorem for Sample Means (Averages)
  39. 4.07: The Central Limit Theorem for Sums
  40. 4.08: Using the Central Limit Theorem
  41. 05: Confidence Intervals
  42. 5.01: Prelude to Confidence Intervals
  43. 5.02: A Single Population Mean using the Normal Distribution
  44. 5.03: A Single Population Mean using the Student t-Distribution
  45. 5.04: A Population Proportion
  46. 5.S: Confidence Intervals (Summary)
  47. 06: Hypothesis Testing
  48. 6.01: Prelude to Hypothesis Testing
  49. 6.02: Null and Alternative Hypotheses
  50. 6.03: Outcomes and the Type I and Type II Errors
  51. 6.04: Distribution Needed for Hypothesis Testing
  52. 6.05: Rare Events the Sample Decision and Conclusion
  53. 6.06: Additional Information and Full Hypothesis Test Examples
  54. 6.07: Prelude to Hypothesis Testing with Two Samples
  55. 6.08: Two Population Means with Unknown Standard Deviations
  56. 6.09: Two Population Means with Known Standard Deviations
  57. 6.10: Comparing Two Independent Population Proportions
  58. 6.11: Matched or Paired Samples
  59. 07: The Chi-Square and F Distributions
  60. 7.01: Prelude to The Chi-Square Distribution
  61. 7.02: Facts About the Chi-Square Distribution
  62. 7.03: Goodness-of-Fit Test
  63. 7.04: Test of Independence
  64. 7.05: Test for Homogeneity
  65. 7.06: Comparison of the Chi-Square Tests
  66. 7.07: Test of a Single Variance
  67. 7.08: Prelude to F Distribution and One-Way ANOVA
  68. 7.09: One-Way ANOVA
  69. 7.10: The F Distribution and the F-Ratio
  70. 7.11: Facts About the F Distribution
  71. 7.12: Test of Two Variances
  72. 7.13: Lab- One-Way ANOVA
  73. 08: Linear Regression and Correlation
  74. 8.01: Prelude to Linear Regression and Correlation
  75. 8.02: Linear Equations
  76. 8.03: Scatter Plots
  77. 8.04: The Regression Equation
  78. 8.05: Testing the Significance of the Correlation Coefficient
  79. 8.06: Prediction
  80. 8.07: Outliers
  81. 09: Worksheets- Introductory Statistics
  82. 9.01: Chapter 1 Worksheets
  83. 9.1.01: Data Collection Experiment (Worksheet)
  84. 9.1.02: Sampling Experiment (Worksheet)
  85. 9.1.03: Descriptive Statistics (Worksheet)
  86. 9.02: Chapter 2 Worksheets
  87. 9.2.01: Probability Topics (Worksheet)
  88. 9.03: Chapter 3 Worksheets
  89. 9.3.01: Discrete Distribution- Lucky Dice Experiment (Worksheet)
  90. 9.3.02: Discrete Distribution- Playing Card Experiment (Worksheet)
  91. 9.04: Chapter 4 Worksheets
  92. 9.4.01: Normal Distribution- Pinkie Length (Worksheet)
  93. 9.4.02: Normal Distribution- Lap Times (Worksheet)
  94. 9.4.03: Central Limit Theorem- Cookie Recipes (Worksheet)
  95. 9.4.04: Central Limit Theorem- Pocket Change (Worksheet)
  96. 9.05: Chapter 5 Worksheets
  97. 9.5.01: Confidence Interval- Place of Birth (Worksheet)
  98. 9.5.02: Confidence Interval- Women's Heights (Worksheet)
  99. 9.5.03: Confidence Interval- Home Costs (Worksheet)
  100. 9.06: Chapter 6 Worksheets
  101. 9.6.01: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  102. 9.6.02: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  103. 9.07: Chapter 7 Worksheets
  104. 9.7.01: Chapter 7 Chi-Square - Goodness-of-Fit (Worksheet)
  105. 9.7.02: Chapter 7 Chi-Square - Test of Independence (Worksheet)
  106. 9.7.03: Chapter 7 One-Way ANOVA (Worksheet)
  107. 9.08: Chapter 8 Worksheets
  108. 9.8.01: Chapter 8 Regression- Distance from School (Worksheet)
  109. 9.8.02: Chapter 8 Regression- Fuel Efficiency (Worksheet)
  110. 9.8.03: Chapter 8 Regression- Textbook Costs (Worksheet)