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Math C160: Introduction to Statistics

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Math C160: Introduction to Statistics

Statistical topics covered include collecting of data, sampling, probability, hypothesis testing, analyzing of variance, correlation and regression, nonparametric testing, and correlating for application in the natural sciences, social sciences, business, and management. Use of statistical technology will be introduced.

Mathematics
Author
Chau D Tran
Publisher
Coastline College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 131 sections
  1. 01: Sampling and Data
  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. 1.05: Experimental Design and Ethics
  7. 1.06: Data Collection Experiment (Worksheet)
  8. 1.07: Sampling Experiment (Worksheet)
  9. 1.08: Sampling and Data (Exercises)
  10. 02: Descriptive Statistics
  11. 2.01: Prelude to Descriptive Statistics
  12. 2.02: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
  13. 2.03: Histograms Frequency Polygons and Time Series Graphs
  14. 2.04: Measures of the Location of the Data
  15. 2.4.01: Measures of the Location of the Data (Exercises)
  16. 2.05: Box Plots
  17. 2.06: Measures of the Center of the Data
  18. 2.07: Skewness and the Mean Median and Mode
  19. 2.08: Measures of the Spread of the Data
  20. 2.09: Descriptive Statistics (Worksheet)
  21. 2.10: Descriptive Statistics (Exercises)
  22. 03: Linear Regression and Correlation
  23. 3.01: Prelude to Linear Regression and Correlation
  24. 3.02: Linear Equations
  25. 3.2.01: Linear Equations (Exercises)
  26. 3.03: Scatter Plots
  27. 3.3.01: Scatter Plots (Exercises)
  28. 3.04: The Regression Equation
  29. 3.4.01: The Regression Equation (Exercise)
  30. 3.05: Testing the Significance of the Correlation Coefficient
  31. 3.5.01: Testing the Significance of the Correlation Coefficient (Exercises)
  32. 3.06: Prediction
  33. 3.6.01: Prediction (Exercises)
  34. 3.07: Outliers
  35. 3.7.01: Outliers (Exercises)
  36. 3.08: Regression - Distance from School (Worksheet)
  37. 3.09: Regression - Textbook Cost (Worksheet)
  38. 3.10: Regression - Fuel Efficiency (Worksheet)
  39. 3.11: Linear Regression and Correlation (Exercises)
  40. 04: Probability Topics
  41. 4.01: Introduction
  42. 4.02: Terminology
  43. 4.03: Independent and Mutually Exclusive Events
  44. 4.04: Two Basic Rules of Probability
  45. 4.05: Contingency Tables
  46. 4.06: Tree and Venn Diagrams
  47. 4.07: Probability Topics (Worksheet)
  48. 4.08: Probability Topics (Exericses)
  49. 05: Discrete Random Variables
  50. 5.01: Prelude to Discrete Random Variables
  51. 5.02: Probability Distribution Function (PDF) for a Discrete Random Variable
  52. 5.03: Mean or Expected Value and Standard Deviation
  53. 5.04: Binomial Distribution
  54. 5.05: Discrete Distribution (Playing Card Experiment)
  55. 5.06: Discrete Distribution (Lucky Dice Experiment)
  56. 5.07: Discrete Random Variables (Exercises)
  57. 06: Continuous Random Variables
  58. 6.01: Introduction
  59. 6.02: Continuous Probability Functions
  60. 6.03: The Uniform Distribution
  61. 6.04: Continuous Distribution (Worksheet)
  62. 6.05: Continuous Random Variables (Exercises)
  63. 6.06: Exercises
  64. 07: The Normal Distribution
  65. 7.01: Prelude to The Normal Distribution
  66. 7.02: The Standard Normal Distribution
  67. 7.2.01: The Standard Normal Distribution (Exercises)
  68. 7.03: Using the Normal Distribution
  69. 7.04: Normal Distribution - Lap Times (Worksheet)
  70. 7.05: Normal Distribution - Pinkie Length (Worksheet)
  71. 7.06: The Normal Distribution (Exercises)
  72. 08: The Central Limit Theorem
  73. 8.01: Prelude to the Central Limit Theorem
  74. 8.02: The Central Limit Theorem for Sample Means (Averages)
  75. 8.2.01: The Central Limit Theorem for Sample Means (Exercises)
  76. 8.03: The Central Limit Theorem for Sums
  77. 8.04: Using the Central Limit Theorem
  78. 8.4.01: Using the Central Limit Theorem (Exercises)
  79. 8.05: Central Limit Theorem - Pocket Change (Worksheet)
  80. 8.06: Central Limit Theorem - Cookie Recipes (Worksheet)
  81. 8.07: The Central Limit Theorem (Exercises)
  82. 09: Confidence Intervals
  83. 9.01: Prelude to Confidence Intervals
  84. 9.02: A Single Population Mean using the Normal Distribution
  85. 9.2.01: A Single Population Mean using the Normal Distribution (Exercises)
  86. 9.03: A Single Population Mean using the Student t-Distribution
  87. 9.04: A Population Proportion
  88. 9.05: Confidence Interval - Home Costs (Worksheet)
  89. 9.06: Confidence Interval -Place of Birth (Worksheet)
  90. 9.07: Confidence Interval -Women's Heights (Worksheet)
  91. 9.08: Confidence Intervals (Exercises)
  92. 9.09: Confidence Intervals (Summary)
  93. 10: Hypothesis Testing with One Sample
  94. 10.01: Prelude to Hypothesis Testing
  95. 10.02: Null and Alternative Hypotheses
  96. 10.2.01: Null and Alternative Hypotheses (Exercises)
  97. 10.03: Outcomes and the Type I and Type II Errors
  98. 10.3.01: Outcomes and the Type I and Type II Errors (Exercises)
  99. 10.04: Distribution Needed for Hypothesis Testing
  100. 10.4.01: Distribution Needed for Hypothesis Testing (Exercises)
  101. 10.05: Rare Events the Sample Decision and Conclusion
  102. 10.5.01: Rare Events the Sample Decision and Conclusion (Exercises)
  103. 10.06: Additional Information and Full Hypothesis Test Examples
  104. 10.07: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
  105. 10.08: Hypothesis Testing with One Sample (Exercises)
  106. 11: Hypothesis Testing and Confidence Intervals with Two Samples
  107. 11.01: Prelude to Hypothesis Testing with Two Samples
  108. 11.02: Two Population Means with Unknown Standard Deviations
  109. 11.03: Two Population Means with Known Standard Deviations
  110. 11.04: Comparing Two Independent Population Proportions
  111. 11.05: Matched or Paired Samples
  112. 11.06: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
  113. 11.07: Hypothesis Testing with Two Samples (Exercises)
  114. 12: The Chi-Square Distribution
  115. 12.01: Prelude to The Chi-Square Distribution
  116. 12.02: Facts About the Chi-Square Distribution
  117. 12.03: Goodness-of-Fit Test
  118. 12.04: Test of Independence
  119. 12.05: Test for Homogeneity
  120. 12.06: Comparison of the Chi-Square Tests
  121. 12.07: Test of a Single Variance (Not Included in the Course)
  122. 12.08: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
  123. 12.09: Lab 2- Chi-Square Test of Independence (Worksheet)
  124. 12.10: The Chi-Square Distribution (Exercises)
  125. 13: F Distribution and One-Way ANOVA
  126. 13.01: Prelude to F Distribution and One-Way ANOVA
  127. 13.02: One-Way ANOVA
  128. 13.03: The F Distribution and the F-Ratio
  129. 13.04: Facts About the F Distribution
  130. 13.05: Lab- One-Way ANOVA
  131. 13.06: F Distribution and One-Way ANOVA (Exercises)