Math 117 - Introduction to Probability and Statistics

Useful Resources

ReadDo
Wed, Aug 23 1 Jerome Cardan
Counting
Exercises - Counting

Textbook Exercises
Sec 4.7 Counting (11th Ed) p. 189 :
1, 2, 3, 4, 8, 11, 12, 13, 15, 17, 20, 25, 26, 31, 33, 36, 38

Sec 4.6 Counting (12th Ed) p. 180 :
1-5, 7, 9, 11, 13, 19, 21, 22, 25, 26, 27, 29, 31, 32, 33, 35, 38


Install R and R Studio

Use R for the 1st Time
Fri, Aug 25 2 Probability

R Functions Related to Counting & Probability
Excel Functions Related to Counting & Probability
Exercises - Probability

Textbook Exercises
Sec 4.2 Basic Concepts of Probability (11th Ed) p. 148 :
14, 22, 33, 34, 35

Sec 4.3 Addition Rule (11th Ed) p. 156 :
13, 17-20, 27-32, 33-38, 39, 41, 43

Sec 4.2 Basic Concepts of Probability (12th Ed) p. 145 :
5, 28, 37 - 41

Sec 4.3 Addition Rule (12th Ed) p. 153 :
1-3, 17-20, 27-38, 39, 41, 43
Mon, Aug 28 3 ...continue probability Exercises - Counting and Probability
Wed, Aug 30 4 Bayes Theorem Handout (by Triola)

Excel Functions Related to Conditionals and Table Lookup
Exercises - Baye's Theorem
Exercises - Counting and Probability Review

Textbook Exercises
Sec 4.4 Multiplication Rule (11th Ed) p. 168 :
13-22, 24, 27, 31, 33

Sec 4.5 Conditional Probability (11th Ed) p. 175 :
9, 11, 13, 17, 29

Review Ch 4 p. 178: 31; p. 195: 1-10

Sec 4.4 Multiplication Rule (12th Ed) p. 165 :
13 - 31 (odd)

Sec 4.5 Complements and Conditional Probability (12th Ed) p. 172 :
9, 11, 13, 16, 19, 20, 21, 23, 25, 27
Fri, Sep 1 5 Vectors in R
Logical Values in R
Characters and Strings in R
R Functions Related to Simulation
Project - Simulations in R and Excel
Mon, Sep 4 LABOR DAY HOLIDAY
Wed, Sep 6 6 Discrete Probability Distributions
Expected Value, Variance, and Standard Deviation of a Discrete PDF

R and Discrete Probability Distributions
Excel Functions Relevant to Probability Distributions
Textbook Exercises
Sec 5.2 Random Variables (11th Ed) p. 214 :
1, 5, 6, 7, 9, 11, 15, 17,19, 23, 24, 27, 33

Sec 5.2 Probability Distributions (12th Ed) p. 206 :
1, 5, 6, 7, 9, 11, 13, 17, 19, 20, 21, 23, 25
Fri, Sep 8 7 Binomial Distribution
Expected Value of a Binomial Distribution

R and Binomial Distributions
Excel and Binomial Distributions
Textbook Exercises
Sec 5.3 Binomial Probability Distributions (11th Ed) p. 218 :
1, 2, 21-24, 33, 35

Sec 5.4 Mean, Variance and Standard Deviation for Binomial Distributions (11th Ed) p. 232 :
5-8, 9, 11, 16, 18, 19

Sec 5.3 Binomial Probability Distributions (12th Ed) p. 217 :
1, 2, 3, 21, 23, 25, 27, 37, 38, 39

Sec 5.4 Parameters for Binomial Distributions (12th Ed) p. 226 :
5-11, 13, 15
Mon, Sep 11 8 Poisson Distribution
Poisson as Limit of a Binomial Distribution
Hypergeometric Distribution
Multinomial Distribution

R and Poisson Distributions
R and Hypergeometric Distributions
Excel and the Poisson & Hypergeometric Distributions
Exercises - Discrete PDFs

Textbook Exercises
Sec 5.5 The Poisson Distribution (11th Ed) p. 238 :
4, 5-8, 11,14; p. 241: 3, 7

Sec 5.5 Poisson Probability Distributions (12th Ed) p. 232 :
1, 2, 5-15 (odd)
Wed, Sep 13 9 Review Exercises - Probability Distributions
Fri, Sep 15 10 Test 1
Mon, Sep 18 11 Variables and Scales of Measurement
Sampling Methods
Experimental Design
Famous Statistical Blunders in History
Publication Bias (What doctors don't know...)
Uses and Abuses of Statistics
Textbook Exercises
Sec 1.3 Types of Data (11th Ed) p. 16:
21 - 31

Sec 1.4 Critical Thinking (11th Ed) p. 24:
9 - 20

Sec 1.5 Collecting Sample Data (11th Ed) p. 34:
1, 2, 9 - 20

Review Ch 1 (11th Ed) p. 38:
1, 3, 4, 6

Sec 1.3 Types of Data (12th Ed) p. 22 :
21-28

Sec 1.2 Statistical and Critical Thinking (12th Ed) p. 12 :
5-12, 25-28

Sec 1.4 Collecting Sample Data (12th Ed) p. 32 :
1, 2, 9-20

Review Ch 1 (12th Ed) p. 36 :
1, 4, 8, 9
Wed, Sep 20 12 Frequency Distributions and Histograms Exercises - Frequency Distributions and Histograms
Fri, Sep 22 13 Shape, Center, and Spread of a Distribution

Descriptive Statistics in R and Excel
Exercises - Measures of Center and Spread
Exercises - Descriptive Statistics

Textbook Exercises
Sec 3.2 Measures of Center (11th Ed) p. 94 :
11, 15, 23

Sec 3.3 Measures of Variation (11th Ed) p. 110:
11, 15, 23, 33, 35

Sec 3.2 Measures of Center (12th Ed) p. 90 :
1, 12, 23

Sec 3.3 Measures of Variation (12th Ed) p. 108 :
12, 15, 23, 41, 43
Mon, Sep 25 14 Making Plots in R Project - Visualizing Data in R and Excel
Wed, Sep 27 15 The Normal Distribution

R and Normal Distributions
Excel Functions Related to Normal Distributions
Exercises - The Normal Distributon

Textbook Exercises
Sec 6.2 The Standard Normal Distribution (11th Ed) p. 261:
3, 9-16 all; 17-36 odd

Sec 6.3 Applications of Normal Distributions (11th Ed) p. 272:
5 - 12 all; 13, 15, 17, 19, 21, 25, 29, 31, 37

Sec 6.2 The Standard Normal Distribution (12th Ed) p. 256 :
3, 9-16 all, 17-36 odd

Sec 6.3 Applications of Normal Distributions (12th Ed) p. 267:
5-12 all, 13, 15, 17, 19, 21, 25, 27, 29, 35
Fri, Sep 29 16 Distributions of Sample Means and the Central Limit Theorem Exercises - The Centeral Limit Theorem

Textbook Exercises
Sec 6.4 Read (11th Ed) pp. 276-277

Sec 6.5 The Central Limit Theorem (11th Ed) p. 295:
1, 5, 7, 13, 19

Sec 6.4 Read (12th Ed) pp. 273-276

Sec 6.5 The Central Limit Theorem (12th Ed) p. 292:
1, 5, 7, 15, 21
Mon, Oct 2 17 Approximating a Binomial Distribution with a Normal Curve Exercises - Normal Approximations to Binomial Distributions

Textbook Exercises
Sec 6.6 Normal as Approximation to Binomial (11th Ed) p. 305 :
1, 3, 13, 15, 19, 25, 29

Sec 6.7 Normal as Approximation to Binomial (12th Ed) p. 311 :
5, 7, 15, 17, 19, 21
Wed, Oct 4 18 Review
Textbook Exercises
Review Ch 6 (11th Ed) p. 320:
7, 9, 11

Review Ch 6 (12th Ed) p. 315:
1, 3, 4, 7
Fri, Oct 6 19 Test 2
Mon, Oct 9 FALL BREAK
Wed, Oct 11 20 Confidence Intervals for Proportions

Confidence Intervals for Proportions in R and Excel
Exercises - Conf. Intervals for Proportions

Textbook Exercises
Sec 7.2 Estimating a Population Proportion (11th Ed) p. 339:
1-4, 5, 7, 9, 15, 17, 21, 23, 25, 27, 29, 33, 35, 37, 41, 43

Sec 7.2 Estimating a Population Proportion (12th Ed) p. 337:
1-4, 5, 7, 9, 13, 15, 17, 19, 21, 25, 27, 29, 33, 35, 37
Fri, Oct 13 21 Installing Packages in R
Functions in R
Project - Modeling Statistical "Confidence" in R and Excel
Mon, Oct 16 22 Hypothesis Testing: Basic Principles
Textbook Exercises
Sec 8.3 Testing a Claim About a Proportion (11th Ed) p. 421 :
Read problems 9-20 odd and identify the claim; work problems 9 and 15

Sec 8.2 Basics of Hypothesis Testing (11th Ed) p. 409 :
1-4, 5, 7, 9-16 odd, 17-23 odd, 25, 27, 29, 31; for 37 and 39 give the inference

Sec 8.3 Testing a Claim About a Proportion (12th Ed) p. 407:
read problems 9-21 odd and identify the claim

Sec 8.2 Basics of Hypothesis Testing (12th Ed) p. 396:
1-4, 9-33 odd
Wed, Oct 18 23 Hypothesis Tests for Proportions (One Sample)
Hypothesis Testing - A Quick Review

Conducting One Proportion Tests in R
Exercises - Hyp. Tests for Proportions (One Sample)

Textbook Exercises
Sec 8.3 Testing a Claim About a Proportion (11th Ed) p. 420 :
2, 4a, 5, 7, 9-20 odd

Sec 8.3 Testing a Claim About a Proportion (12th Ed) p. 407:
1-4, 5, 7, 9-21 odd
Fri, Oct 20 24 Hypothesis Tests for Proportions (Two Samples)
Exercises - Hyp. Tests for Proportions (Two Samples)

Textbook Exercises
Sec 9.2 Inferences About Two Proportions (11th Ed) p. 469 :
7, 9, 13, 14, 17, 21, 22, 27, 28

Sec 9.2 Two Proportions (12th Ed) p. 449:
7, 9, 13, 14, 17, 18
Mon, Oct 23 25 Chi Square Tests Exercises - Chi Square Tests

Textbook Exercises
Sec 11.2 Goodness-of-fit (11th Ed) p. 594 :
3, 5, 7, 11, 19, 21

Sec 11.3 Contingency Tables (11th Ed) p. 606 :
1 (Salk Vaccine), 5, 13, 17, 19, 21

Sec 11.2 Goodness-of-fit (12th Ed) p. 573:
1-4, 5, 7, 11, 19, 21

Sec 11.3 Contingency Tables (12th Ed) p. 586:
1-4, 5, 9, 13, 17, 19
Wed, Oct 25 26 t-Distributions
Confidence Intervals and Hypothesis Tests for Means
Exercises - Conf. Intervals & Hyp. Tests for Means

Textbook Exercises
Sec 7.3 Estimating a Population Mean ($\sigma$ known) (11th Ed) p. 352 :
9, 11, 13, 15, 21, 23, 25, 27

Sec 7.4 Estimating a Population Mean ($\sigma$ unknown) (11th Ed) p. 365 :
5 - 12 odd, 17, 19, 21, 23, 27

Sec 7.3 Estimating a Population Mean (12th Ed) p. 355:
9, 11, 13, 15, 21, 25, 27, 29, 31
Fri, Oct 27 27
Textbook Exercises
Sec 8.4 Testing a Claim About a Mean ($\sigma$ known) (11th Ed) p. 430 :
1, 3, 7, 9, 11

Sec 8.5 Testing a Claim About a Mean ($\sigma$ unknown) (11th Ed) p. 439 :
1, 5 - 8, 17, 19, 21, 23, 25, 27 (use the traditional method for all hypothesis testing)

Sec 8.4 Testing a Claim About a Mean (12th Ed) p. 419:
1-4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25


Conducting Hypotheses Tests in R and Excel
Mon, Oct 30 28 Review Exercises - Conf. Intervals & Hyp. Testing (One Sample, Means and Proportions)
Wed, Nov 1 29 Test 3
Fri, Nov 3 30 Hypothesis Tests for Comparing Means Exercises - Comparing Means

Exercises - Hypothesis Testing (Two Samples)

Textbook Exercises
Sec 9.3 Inferences About Two Means (Independent Samples) (11th Ed) p. 482 :
1, 2, 37, 39 (use the critical value method)

Sec 9.4 Inferences About Two Means (Dependent Samples) (11th Ed) p. 494 :
17, 19

Sec 9.3 Two Means (Independent Samples) (12th Ed) p. 463:
2, 3

Sec 9.4 Two Dependent Samples (Matched Pairs) (12th Ed) p. 474:
11, 17
Mon, Nov 6 31 ...continue comparing means
Textbook Exercises
Sec 9.5 Comparing Variation in Two Samples (11th Ed) p. 502 :
1, 7, 9

Review Ch 9 (11th Ed) p. 508 :
2, 3, 5, 8, 10

Sec 9.5 Two Variances or Standard Deviations (12th Ed) p. 482:
1, 5, 7

Sec 9.3 Two Means (Independent Samples) (12th Ed) p. 466:
25, 26 (use critical value method)

Review Ch 9 (12th Ed) p. 488:
5, 6, 10
Wed, Nov 8 32 ANOVA and Scheffe Tests Exercises - One way Analysis of Variance (ANOVA)

Textbook Exercises
Sec 12.2 One-Way ANOVA (11th Ed) p. 641 :
11, 13, 15

Sec 12.2 One-Way ANOVA (12th Ed) p. 612:
11, 12, 13, 15
Fri, Nov 10 33 ...continue ANOVA
Mon, Nov 13 34 Review
Wed, Nov 15 35 Parametric vs. Non-parametric Tests
Kruskal-Wallis, Wilcoxon Tests
Exercises - Kruskal-Wallis, Wilcoxon Tests

Textbook Exercises
Sec 13.5 Kruskal-Wallis Test (11th Ed) p. 689 :
1, 7, 9, 10

Sec 13.4 Wilocoxon Ranked-Sum Test for Two Independent Samples (11th Ed) p. 684 :
5, 7

Review Ch 13 (11th Ed) p. 709 :
8 (compare to ANOVA done on p. 641: 12 - Did you get the same results?), 9

Sec 13.5 Kruskal-Wallis Tests (12th Ed) p. 665:
5, 6, 7, 8 (for 5 & 6, compare to ANOVA done on the same data - p. 612: 11,12)

Sec 13.4 Wilcoxon Rank Sum p. 659:
5, 7
Fri, Nov 17 36 Scatterplots, Correlation, and Regression
Textbook Exercises
Sec 10.3 Regression (11th Ed) p. 548 :
9, 10, then for 13, 17, 19, 23, 27, a) make a scatter plot; b) test for the significance of the regression/correlation model; c) find $r$ and the related line, graphing the line on your scater plot; and d) determine if the model found is a good preditor.

Review Ch 10 (11th Ed) p. 576 :
1, 3

Sec 10.3 Regression (12th Ed) p. 528:
9, 10, then for 13, 17, 19, 21 a) make a scatter plot; b) test for the significance of the regression/correlation model; c) find $r$ and the related line, graphing the line on your scater plot; and d) determine if the model found is a good preditor.

Review Ch 10 (12th Ed) p. 558:
1, 3


Exercises - Simple Linear Regression and One-way Analysis of Variance
Mon, Nov 20 37 Rank Correlation
Textbook Exercises
Sec 13.6 Rank Correlation (11th Ed) p. 697 :
9, 11, 13, 15

Sec 13.6 Rank Correlation (12th Ed) p. 673:
5, 7, 9, 11
Wed, Nov 22 THANKSGIVING BREAK
Fri, Nov 24 THANKSGIVING BREAK
Mon, Nov 27 38 Correlation, Regression, and Curve-Fitting in R and Excel
Wed, Nov 29 39 Review
Textbook Exercises
Review Ch 13 (11th Ed) p. 708 :
5

Cumulative Review after Ch 13 (11th Ed) p. 709 :
1 - 10

Cumulative Review after Ch 13 (12th Ed) p. 684:
5, 8, 9, 10
Fri, Dec 1 40 Test 4
Mon, Dec 4 41 Wrap up and Review for Final Exam