# Introductory Statistics: Online course schedule

## Notes

• A "week" begins on a Sunday and ends on a Saturday.
• In-person meetings are on Thursday, 9-10:30am; see assignments for in-person meetings.
• Recommendation: take scheduled quizzes following Thursday in-person meetings.
• When no Calc Reference is listed, the Excel instructions for the activity provide adequate instruction for completing the activity using Calc.

## Online course schedule: first semester

Week Topics Online Course Work Calc Reference
Week 1
Intro

Create oli account
Review specifics on using a spreadsheet
Introduction; Learning Strategies: Big PIcture

Week 2
Graphs; Center Unit 1: Exploratory Data Analysis: Introduction

Mod 1: Examining Distributions

One Categorical Variable - Create a Table & Pie Chart
One Quantitative Variable
Graphs: Histogram - Create a Histogram
Graphs: Stemplot
Numerical Measures: Measures of Center - Evaluate Measures of Center
Find & replace
Week 3
Spread; Boxplot; Standard Deviation Unit 1, Mod 1: Examining Distributions
One Quantitative Variable
Numerical Measures: Measures of Spread (IQR)
Numerical Measures: Boxplot - (1) Calculate 5-Number Summary; (2) Create Side-by-Side Boxplots
Numerical Measures: Standard Deviation - Calculate Standard Deviation
Boxplot, 1 of 2
Week 4
StatTutor; Quiz Unit 1, Mod 1: Examining Distributions
One Quantitative Variable
Wrap-Up (Distributions) - StatTutor (Drinking.xls) & Quiz
StatTutor:
Week 5
Two-Way Table; Scatterplot Unit 1, Mod 2: Examining Relationships
Role-Type Classification
Case I One Categorical & One Quantitative Variable
Case II Two Categorical Variables - Calculate Two-Way Table
Case III Two Quantitative Variables: Scatterplots - Create a Scatterplot
Case II: Two-way table
Week 6
Correlation; Regression Unit 1, Mod 2: Examining Relationships
Case III: Linear Relationships - Calculate Correlation Coefficient; Calculate & Plot a Linear Regression Line
Linear relationships (calculate correlation)
Week 7

Causation; StatTutor Unit 1, Mod 2: Examining Relationships
Causation - Investigate Lurking Variable & Simpson's Paradox
Wrap-Up (Relationships) - StatTutor Exercise (Body_Image.xls)
StatTutor:
Week 8
Quiz; Sampling Unit 1, Mod 2: Examining Relationships
Quiz

Unit 1: Summary (EDA)
Unit 2, Producing Data: Introduction
Mod 2: Sampling

Sampling - Investigate Random Samples
Wrap-Up (Sampling)
Sampling
Week 9
Designing Studies Unit 2, Mod 4: Designing Studies
Introduction
Identifying Study Design
Causation and Observational Studies (by Nov 5)
Causation and Experiments - Create and Verify Random Samples
Experiments with More than One Explanatory Variable
Causation and experiments
Week 10
Designing Studies Unit 2, Mod 4: Designing Studies
Modifications to Randomization
Sample Surveys (by Nov 12)
Wrap-Up (Designing Studies) - StatTutor Exercise (depression.xls) (by Nov 19)
Checking randomization
Week 11
Designing Studies quiz; Intro to Probability Unit 2, Mod 4: Designing Studies
Quiz

Unit 2: Summary (Producing Data)
Unit 3: Probability
Mod 5: Introduction (Probability)

Week 12
Relative Freq; Equally Likely Unit 3, Mod 6: Finding Probability of Events
Relative Frequency - Calculate Relative Frequency
Equally Likely Outcomes - Calculate Probability of Event (by Dec 3)
Relative frequency
Week 13
Probability Rules Unit 3, Mod 6: Finding Probability of Events
Probability Rules - Investigate Disjoint vs. Not Disjoint Events; Investigate Application of Addition Rule (by Dec 10)
Week 14
Probability Rules; Quiz Unit 3, Mod 6: Finding Probability of Events
Probability Rules - Investigate Difference between Disjoint and Independent Events; Find P(of at least one of...); Find P(A or B) (by Dec 17)
Wrap-Up (Finding Probability of Events) - Quiz (by Dec 23)

## Online course schedule: second semester

• These second semester "weeks" begin on Thursday, following the in-person session, and end on Wednesday.

Week Topics Online Course Work Calc Reference
Week 15 Conditional Probability Unit 4, Mod 7: Conditional Probability and Independence
Conditional Probability - Investigate Conditional Probability and Complement Rule
Independence - Checking the Independence of Two Events

Week 16 Conditional Probability Unit 4, Mod 7: Conditional Probability and Independence
The General Mulitiplication Rule - Use the General Multiplication Rule
Probability Trees - Use Probability Trees to Answer Real Life Questions
Wrap-up - My Response > About Conditional Probability and Independence

Week 17 Conditional Probability Quiz; Prob Dist for Discrete Random Variable Unit 4, Mod 7: Conditional Probability and Independence
Wrap-up - Quiz

Unit 4, Mod 8: Random Variables

Discrete Random Variables
Probability Distribution - Find the Probability Distribution of a Discrete Random Variable; Determine Probabilities using a Probability Distribution of a Random Variable

Week 18 Mean and Variance for Discrete Random Variable Unit 4, Mod 8: Random Variables
Discrete Random Variables
Mean and Variance - Use Mean of Random Variables to Solve Problems; Investigate Mean and Standard Deviation of Random Variables
Rules for Means and Variances

Week 19 Binomial Random Variable Unit 4, Mod 8: Random Variable
Discrete Random Variable
Binomial Random Variable - Solve Problems Using Binomial Random Variable, by Hand and with Stat Software
May need calc reference
Week 20 Normal Distribution Unit 4, Mod 8: Random Variable
Continuous Random Variable
Probability Distribution
Normal Random Variables - Investigate the Normal Distribution; Solve Problems that Involve Normal Random Variables; Solve Problems that Involve Normal Distribution; Use Stat Software to Solve Problems that Involve Normal Distribution; Investigate Normal Approximation; Solve Problems Involving Binomial Random Variable, when using Normal Approximation is Appropriate
Wrap-up - My Response > About Random Variables

Week 21

Rand Var Wrap-Up; Quiz

Sampling Distributions

Unit 4, Mod 8: Random Variable
Wrap-Up - Quiz

Unit 4, Mod 9: Sampling Distributions

• Parameters vs. Statistics
• Behavior of Sample Proportion - Check Center, Spread and Shape of Sampling Distribution; Find & Interpret Sample Distribution
(combine with week 23?)
Week 22 Sampling Distributions Unit 4, Mod 9: Sampling Distributions

Behavior of Sample Mean - Use Simulations to Check Center, Spread and Shape of Sampling Distribution (Excel only; function NA in OOo Calc); Find the sampling distribution of the sample mean and likelihood of getting certain mean values
Wrap-Up - My Response > About Sampling Distributions

Week 23 Sampling Distributions Quiz; Point Estimation, begin Confidence Intervals
Unit 4, Mod 9: Sampling Distributions
• Wrap-up - Quiz
• Unit 4: Summary (Probability)

Unit 5: Inference

• Mod 10: Introduction (Inference)
• Mod 11: Inference for One Variable
• Point Estimation
• Interval Estimation
• Confidence Intervals for the Population Mean - Calculate and Interpret Confidence Intervals;

Week 24 Confidence Intervals
Unit 5, Mod 11: Inference for One Variable
• Interval Estimation: Confidence Intervals for the Population Mean
Calculate Sample Size for Obtaining Confidence Intervals with a Desired Margin of Error, at a Certain Confidence Level; Use statistical software to calculate confidence intervals for μ (when σ is known); .... when σ is unknown
Interval Estimation: Confidence Intervals for Population Proportion p - Calculate and Interpret the Confidence Interval for the Population Proportion p; Calculate a Confidence Interval for the Population Proportion p (for a Given Level of Confidence)

Week 25 Hypothesis Testing
Unit 5, Mod 11: Inference for One Variable

Hypothesis Testing

Overview - Draw Conclusions from p-value in Hypothesis Testing
Hypothesis Testing for the Population Proportion p - Investigating the p-value; Use Statistical Software to Calculate Z-Test for Population Proportion p; Explore the Effect of Sample Size on the Significance of Sample Results; Using Confidence Intervals in Response to Rejection of Null Hypothesis

Week 26 Hypothesis Testing Unit 5, Mod 11: Inference for One Variable

Hypothesis Testing

Hypothesis Testing for the Population Mean - Investigate How Exploratory Data Analysis can Inform the z-test for the Population Mean, μ; Caclulate the z-test for the Population Mean; Conduct Hypothesis Testing for the Population Mean (Assuming that σ is Known); Conduct a t-test for the Population Mean

My Response > About Inference for One Variable

Week 27 Inference for One Variable Wrap-Up & Quiz
Unit 5, Mod 11: Inference for One Variable

Wrap-up - StatTutor (cell_phones.xls)

Wrap-up - Quiz

Week 28 Two Sample t-test
Unit 5, Mod 12: Inference for Relationships

Case I One Categorical & One Quantitative Variable

Two Independent Samples - Check for conditions Which Allow Use of the Two-Sample t-test

Case I Two Categorical Variables; Conduct the Two-Sample t-test; Calculate a 95% Confidence Interval for μ1-μ2 following a Two-Sample t-test Which Rejected Ho; My Response > About Two Independent Samples

Week 29 Paired t-test Unit 5, Mod 12: Inference for Relationships
Case I One Categorical & One Quantitative Variable
Matched Pairs - Conduct a paired t-test; Interpret Confidence Intervals for the Difference in Means; My Response > About Matched Pairs

Week 30 ANOVA Unit 5, Mod 12: Inference for Relationships
Case I One Categorical & One Quantitative Variable
ANOVA - Conduct an ANOVA F-test; Interpret Results of ANOVA F-test; My Response > About ANOVA
Conclusion of Case I - StatTutor (gradebook.xls)

Week 31 Chi-Square Unit 5, Mod 12: Inference for Relationships
Case II Two Categorical Variables - Conduct EDA; Check Assumptions for Using Chi-Square Test; Conduct Chi-Square Test
StatTutor (low_birth_weight.xls)

Week 32 Linear Relationship Unit 5, Mod 12: Inference for Relationships
Case III Two Quantitative Variables - Conduct EDA; Determine Linear Relationship; Draw Conclusions