Math 117 - Introduction to Probability and Statistics

Useful Resources

ReadDo
Fri, Jan 19 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

Sec 4.4 Counting (13th Ed) p. 174:
1-4, 5, 7, 9, 11, 23, 27-36, 38


Install R and R Studio

Use R for the 1st Time
Mon, Jan 22 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

Sec 4.1 Basic Concepts of Probability (13th Ed) p. 143 :
5, 27, 31, 33-36

Sec 4.2 Addition Rule and Mult. Rule (13th Ed) p. 155:
1, 2, 3, 9-19 (odd), 21-24, 25, 27, 29-34
Wed, Jan 24 3 ...continue probability Exercises - Counting and Probability
Fri, Jan 26 4 Bayes Theorem Handout (by Triola)

Functions in R
Vectors in R
Logical Values in R
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 & Cond. Probability (12th Ed) p. 172 :
9, 11, 13, 16, 19, 20, 21, 23, 25, 27

Sec 4.3 Complements, Cond. Probability, and Baye's Theorem (13th Ed) p. 166 :
7-15 (odd), 17-20, 23, 25


Project 1, Part I: Simulations with R and Excel
Mon, Jan 29 5 Characters and Strings in R
R Functions Related to Simulation
Project 1, Part II : Simulations with R and Excel
(Unusual Dice and Cancer)
Wed, Jan 31 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

Sec 5.1 (13th Ed) p. 195 :
1, 5, 6, 7, 9, 11, 13, 15-19, 27, 29
Fri, Feb 2 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

Sec 5.2 (13th Ed) p. 208 :
1-3, 21-37 (odd), 40
Mon, Feb 5 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)

Sec 5.3 (13th Ed) :
p. 1,2,5-15 (odd)
Wed, Feb 7 9 Review Exercises - Probability Distributions
Fri, Feb 9 10 Test 1
Mon, Feb 12 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

Sec 1.2 (13th Ed) p. 24 :
21-28

Sec 1.1 (13th Ed) p. 9 :
5-12,25-28

Sec 1.3 (13th Ed) p. 32 :
5-7,9-20
Wed, Feb 14 12 Frequency Distributions and Histograms Exercises - Frequency Distributions and Histograms
Fri, Feb 16 13 Shape, Center, and Spread of a Distribution
Proof of Chebyshev's Theorem

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

Sec 3.1 (13th Ed) p. 91 :
4, 10, 13, 23

Sec 3.2 (13th Ed) p. 107 :
13, 17, 41, 43


Project 2, Part I: Visualizing Data in R and Excel
(Due Feb 26)
Mon, Feb 19 14 Making Plots in R
R and Uniform Distributions
Project 2, Part II: Visualizing Data in R and Excel
(Anthrax & Sample Means)

(Due Mar 7)
Wed, Feb 21 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

Sec 6.1 (13th Ed) p. 240 :
3, 9-16 all; 17-36 odd

Sec 6.2 (13th Ed) p. 250 :
5-12 all, 13, 15, 17, 18, 21, 23, 29, 31, 35, 36
Fri, Feb 23 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

Sec 6.3 (13th Ed) p. 257 :
Read: Sampling Distribution of the Mean

Sec 6.4 (13th Ed) p. 292: 1, 3, 5, 7, 13, 19
Mon, Feb 26 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

Sec 6.6 (13th Ed) p. 289 :
5, 7, 13, 15, 17, 19
Wed, Feb 28 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

Review Ch 6 (13th Ed) p. 292:
1, 3, 4, 7
Fri, Mar 2 19 Test 2
Mon, Mar 5 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
Wed, Mar 7 21 Installing Packages in R
Project 3 (Due Mar 21)
Fri, Mar 9 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
Mar 12-16 SPRING BREAK
Mon, Mar 19 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
Wed, Mar 21 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


Project 4 (Due Apr 6)
Fri, Mar 23 25 Chi-Squared Tests

R and Chi-Squared Distributions
Exercises - Chi-Squared 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
Mon, Mar 26 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
Wed, Mar 28 27 R and t-Distributions
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


Fri, Mar 30 28 Review Exercises - Conf. Intervals & Hyp. Testing (One Sample, Means and Proportions)
Mon, Apr 2 29 Test 3
Wed, Apr 4 30 Hypothesis Tests for Comparing Means

R and 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
Fri, Apr 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


Project 5 - (Due Apr 16)
Mon, Apr 9 32 ANOVA and Scheffe Tests

R and ANOVA
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
Wed, Apr 11 33 ...continue ANOVA
Fri, Apr 13 34 Parametric vs. Non-parametric Tests
Kruskal-Wallis, Wilcoxon Tests

R and Non-Parametric 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
Mon, Apr 16 35 Correlation and Scatterplots
The Line of Best Fit
Explained Variation and the Coefficient of Determination

R and Correlations
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

Final Project - (Due Apr 30)
Wed, Apr 18 36 Spearman's Rank Sum Correlation Test
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
Fri, Apr 20 37
Mon, Apr 23 38 Review
Wed, Apr 25 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, Apr 27 40 Test 4
Mon, Apr 30 42 Wrap up and Review for Final Exam Final Exam Times:

MWF class @ 9:30: Wed, May 9th from 9 am - 12 noon,
MWF class @ 10:45: Wed, May 2nd from 9 am - 12 noon,
MWF class @ 12:00: Thur, May 3rd from 2 pm - 5 pm,
MWF class @ 1:15: Thur, May 3rd from 9 am - 12 noon