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ModulesCompetencyConcepts/Nodes:Course Objectives(s):
Which course objective aligned with each concept? (optional)		Student Learning Outcomes:
Upon completion, students will be able to...		Instructional Materials (Readings/Resources):
Which sections of a text, links to OER, links to videos, etc.		Online Textbook
Part of Prepwork to be completed		Synchronous
(Faculty-guided Activities)		Asynchronous
(Out-of-Class Activities)		Assessment and Measurement:
3-5 questions per concept minimum		Notes/Questions:Project-Based Activities
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Course Description: This course provides an investigative approach to introductory statistics with an emphasis on using real-world data and statistical literacy. Topics include descriptive statistics, basic probability, discrete and continuous probability distributions, confidence intervals and hypothesis testing, and correlation and regression. Upon completion, students should be able to use appropriate technology for data analysis to create and interpret graphical displays and numerical summaries for data, recognize and explain the central role of variability and randomness in designing studies and drawing conclusions, explain and apply ideas of statistical inference, both hypothesis tests and interval estimation, in a variety of settings, so as to interpret and draw conclusions from statistical software packages.
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COURSE OBJECTIVES:
CO1 Students should be able to describe important characteristics of a data set. (Describe can be in words or can mean to calculate values when appropriate. Note: It is recommended that students gain experience in performing calculation utilizing technology such as Excel, R, etc.)
CO2 Students should be able to infer appropriate information from sample data. (verify, validate, conclude...to the population)
CO3 Students should be able to interpret their results (from CO1 and CO2). (what does it mean? why is it useful?)
CO4 Students should be able to communicate their results (from CO1, CO2, and CO3). (tell others, show others)
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Topic 1: Sampling DataOrganize, display, calculate, and interpret descriptive statisticIntroduction to statistics and presentation of data (Data lists and Frequency Tables)CO1Identify Structure of Data
Sampling & Study Design		Openstax Chapter 1.1 Definitions of Statistics, Probability and Key Terms https://openstax.org/books/introductory-statistics/pages/1-1-definitions-of-statistics-probability-and-key-terms Introduction to Statistics: https://www.youtube.com/watch?v=VPZD_aij8H0
OpenIntro: Intro to Data Slides - https://docs.google.com/presentation/d/1_WBy4_ZjmwX-TOj7MbyxQxpNefDZU5uC0-qE-vSTgco/edit#slide=id.g16c66c7699_0_0
OpenIntro: Intro to Data Video - https://www.youtube.com/watch?v=Mjif8PTgzUs&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8
OpenIntro: Sampling Slides - https://docs.google.com/presentation/d/1kIDLgAqZKsrrccb0qCNW4qzFDXyRtFZexNSWjat836Y/edit#slide=id.g172644b059_0_5
OpenIntro: Sampling Video 1: https://www.youtube.com/watch?v=2N_bkiyTiXU&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8
OpenIntro: Sampling Video 2: https://www.youtube.com/watch?v=KyuaX10l3GQ&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8
Open Intro: Experimental Design Slides - https://docs.google.com/presentation/d/1qcvXDm0uhUiT9E8KI1c49NjYdIoaLenx9P3NvpTN2L0/edit#slide=id.ge2b886a0_085
OpenIntro: Experimental Design Video: https://www.youtube.com/watch?v=g7JGe_ykB3I&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8		OpenIntro Stats - Chapter 1
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Lumen Concepts in Statistics Why It Matters: Types of Statistical Studies and Producing Data https://courses.lumenlearning.com/wm-concepts-statistics/chapter/why-it-matters-why-it-matters-types-of-statistical-studies-and-producing-data/Data source, data access tool: https://datasearch.globe.gov/ Both Summary data and Measurement data available
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One categorical variableCO1Identify and create categories of a given data sethttps://openstax.org/books/introductory-statistics/pages/1-2-data-sampling-and-variation-in-data-and-sampling Data source: http://www.framinghamheartstudy.org

OpenIntro Video: https://www.youtube.com/watch?v=7NhNeADL8fA&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8
OpenIntro Slides: https://docs.google.com/presentation/d/1D8PHarhuhj_FLDc2b7l7BoQ3euaHN0dv0V0T5-qttE4/edit#slide=id.g16c7639abc_0_0 https://bolt.mph.ufl.edu/2013/07/23/one-categorical-variable/		https://openstax.org/books/introductory-statistics/pages/1-key-terms

OpenIntro Text: Section 2.2
https://bolt.mph.ufl.edu/2012/08/04/learn-by-doing-1-one-categorical-variable/ https://bolt.mph.ufl.edu/2012/08/04/learn-by-doing-2-one-categorical-variable/
1) Provide the definition of categorical or qualitative data. 2) Given a data set, identify appropriate categories. 3) Interpret information from a graphical representation of categorical data.University of Florida Open Learning Textbook, College of Public Health
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comparing categorical variablesCO2Identify and implement methods of displaying, describing and comparing categorical datahttps://courses.lumenlearning.com/wm-concepts-statistics/chapter/two-way-tables-5-of-5/OpenIntro Text: Section 2.2http://jse.amstat.org/v3n3/datasets.dawson.html1) Create a pie chart displaying an example of data using one categorical variable. 2) Create a bar graph displaying data using one categorical variable. 3) Create a frequency distribution table to convey the data.
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One quantitative variableCO1Identify and create data sets consisting of quantitative variablesOpenIntro Video: https://www.youtube.com/watch?v=Xm0PPtci3JE&list=PLkIselvEzpM6pZ76FD3NoCvvgkj_p-dE8
OpenIntro Slides: https://docs.google.com/presentation/d/1YpJsHUEHPiuHlH7n0RKNYU3sQ_XX6uX36P92R8-_9sg/edit#slide=id.g5e3efc1ef1_0_0 https://bolt.mph.ufl.edu/6050-6052/unit-1/one-quantitative-variable-introduction/		OpenIntro Text: Section 2.1https://www.amstat.org/asa/files/pdfs/stew/SamplinginArchaeology.pdfOpenIntro 4th Ed:
pp 57-59, Exercises: 2.10, 12, 13, 15-17		1) Give examples of quantitative variables 2) Differentiate between Continuous and Discrete quantitative variables. 3) Display quantitative data graphically.
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Comparing categorical and quantitative variablesCO2Distinguish between categorical and quantitative dataText: https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-categorical-vs-quantitative-data/ https://courses.lumenlearning.com/wm-concepts-statistics/chapter/what-is-data/ Types of Data: https://www.youtube.com/watch?v=DUcXZ08IdMo Datasets: https://www.lib.ncsu.edu/gis/dataweb https://openstax.org/books/introductory-statistics/pages/1-2-data-sampling-and-variation-in-data-and-samplinghttps://www.amstat.org/asa/files/pdfs/stew/AreFemaleHurricanesDeadlierthanMaleHurricanes.pdf1) Provided two descriptions of data, differentiate between categorical and quantitative variables. 2) Identify the appropriate data type to use for a given situation 3) Synthesize categorical and quantitative data within the same problem. Textbook Resources: OpenIntro, OpenStax, Lumen
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Comparing quantitative variablesCO2, CO3Distinguish between continuous and discrete quantitative variables;use technology to display quantitative data;draw conclusions conclusions based on quantitative variableshttps://courses.lumenlearning.com/wm-concepts-statistics/chapter/examining-relationships-quantitative-data-review/ https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-scatterplots/ https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-linear-relationships/ https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-association-vs-causation/ https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-histograms/https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-3/https://courses.lumenlearning.com/wm-concepts-statistics/chapter/histograms-1-of-4/

https://www.amstat.org/asa/files/pdfs/stew/TheUnitedStatesofObesity.pdf		OpenIntro 4th Ed:
pp 56, Exercises 2.1, 2		1) Differentiate between Continuous and Discrete quantitative variables 2) Identify the dependent and independent quantitative variable. 3) Use a graphing utility, graph two quantitative variables. 4) Draw conclusions based on the graph of two quantitative variables. 5) Represent data using a histogram
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https://courses.lumenlearning.com/introstats1/
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Topic 2: Probability2.0 Apply basic rules of probability2.1 Sample spaces, events and their probabilitiesCO12.1.1 Describe and use the terminology of probability. (OpenStax)OpenStax Chapter 3: Probability Topics (Introduction) https://openstax.org/books/introductory-statistics/pages/3-1-terminology<--(PDF: I have a pdf of this, but not sure the best way to convert for online class use.) Given two distinguishable fair six-sided die, define sample space and events, including unions, intersections and complements. First find classical probabilities of specified events. Then by rolling a pair of die multiple (say, 10) times or using simulation results, compare empirical/relative frequency probabilities of events with classical probabilities. Random die rolls can be done here: https://www.random.org/dice/?num1) Construct a sample space 2) Define events and compute and use probabilities of these events. 3) Differentiate between classical and relative frequency probabilities.
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CO32.1.2 Interpret (in context) a probability as a long-run relative frequency of an event. (Lumen)
Lumen Learning Module 6: Probability and Probability Distributions (Introduction to Another Look at Probability) https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-another-look-at-probability/<--
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Video: OpenIntro Chapter 3: Probability (Defining Probability) https://www.youtube.com/watch?list=PLkIselvEzpM5EgoOajhw83Ax_FktnlD6n&v=rG-SLQ2uF8U
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Complements, intersections and unionsCO2Determine whether two events are mutually exclusive. (OpenStax)OpenStax Section 3.1: Probability Topics (Terminology) https://openstax.org/books/introductory-statistics/pages/3-1-terminology<--https://www.amstat.org/asa/files/pdfs/stew/OddOrEven9-12Nov2015.pdf1) Determine probabilities of intersections, unions and complements given a sample space or a set of probabilities. 2) Identify and determine probabilities of intersections, unions and complements from Venn diagrams. 3) Translate a description of an intersection, union or complement in words symbolically.
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CO3Reason from probability distributions, using probability rules, to answer probability questions. (Lumen)Lumen Learning Module 6: Probability and Probability Distributions (Introduction to Probability Rules) https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-probability-rules/<--
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Slides: OpenIntro Section 3.1: Introduction to Probability https://docs.google.com/presentation/d/1YI6GzZwI4Wv1eWUXj1qeJkmfe7bBESqxXq1_VigUCbM/edit#slide=id.g16c7214b16_0_0
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Conditional probability and independent eventsCO3Determine whether two events are independent. (OpenStax)OpenStax Section 3.2: Probability Topics (Independent and Mutually Exclusive Events) https://openstax.org/books/introductory-statistics/pages/3-2-independent-and-mutually-exclusive-events<--https://www.amstat.org/asa/files/pdfs/stew/TheCaseoftheCarelessZookeeper.pdf (This activity includes the chi-square test for independence, but informal independence can be considered without the chi-square test.)(PDF: I have a pdf of this, but not sure the best way to convert for online class use.) Given two categorical variables recorded from the class (or elsewhere), have class construct a two-way table (either by hand or using software) summarizing the data and answer questions regarding conditional probabilities and independence of events.1) Determine a conditional probability or 2) the independence of two events given a sample space or a set of probabilities. 3) Determine whether it is reasonable to assume two events are independent under a set of conditions. 4) Understand that two independent events are not mutually exclusive events (these are often confused).
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Lumen Learning Module 6: Probability and Probability Distributions (Probability Rules 3 of 3) Lumen Learning Module 6: Probability and Probability Distributions (Introduction to Probability Rules) https://courses.lumenlearning.com/wm-concepts-statistics/chapter/probability-rules-3-of-3/<--
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Slides: OpenIntro Section 3.2: Conditional Probability https://docs.google.com/presentation/d/1KBp8ZVvLhN57CcxG9jBzht1cgTsEJuZxnCtTS4uEZ-U/edit#slide=id.g16c765dbd5_0_0
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Contingency tablesCO2, CO3Construct and interpret contingency tables. (OpenStax)OpenStax Section 3.4: Probability Topics (Contingency Tables) https://openstax.org/books/introductory-statistics/pages/3-4-contingency-tables<--1) Summarize two categorical variables using a contingency table. 2) Determine probabilities using a contingency table. 3) Determine whether two events are (exactly) independent using a contingency table.
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CO3Analyze the distribution of a categorical variable. Analyze the relationship between two categorical variables using a two-way table. Calculate marginal, joint, and conditional percentages and interpret them as probability estimates. (Lumen)Lumen Learning Module 5: Relationships of in Categorical Data with Intro to Probability (Introduction to Two-Way Tables) https://courses.lumenlearning.com/wm-concepts-statistics/chapter/introduction-two-way-tables/<--
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Topic 3: Probability and SamplingIdentify and apply appropriate probability distributionsBinomial Distribution (optional)CO2, CO3Recognize the binomial probability distribution and apply it appropriately. (OpenStax, LumenLearning)Video: OpenIntro Video 4.3A: Binomial Distribution https://www.youtube.com/watch?v=tKmyzhvgudw&list=PLkIselvEzpM6V9h55s0l9Kzivih9BUWeWOpenStax Section 4.3, OpenIntro 4.3, Lumen Learning Module 4https://www.amstat.org/asa/files/pdfs/stew/IAlwaysFeelLikeSomebodysWatchingMe.pdfOpenStax Stats Lab 4.1: https://openstax.org/books/introductory-statistics/pages/4-7-discrete-distribution-playing-card-experiment1) Determine whether the description of a discrete random variable meets the conditions of a binomial experiment. 2) Determine probabilities of binomial random variables. 3) Determine the mean and standard deviation of a binomial experiment.OpenStax Q82-Q103 https://openstax.org/books/introductory-statistics/pages/4-homework
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Slides: OpenIntro 4.3: Binomial Distribution https://docs.google.com/presentation/d/1ae-ZBDcSIGBNrP-FBhH-svrlVtXdRsAAilc162-ELEg/editOpenstax Q60-Q67 (goes in the cell below) https://openstax.org/books/introductory-statistics/pages/6-homework
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Standard normal distribution; z-scoresCO3Recognize the standard normal probability distribution and apply it appropriately. Evaluate z-scores for a normally distributed random variable(OpenStax)
https://openstax.org/books/introductory-statistics/pages/6-1-the-standard-normal-distribution
OpenStax Section 6.1, Lumen Module 6, OpenIntro 4.1OpenIntro 4th Ed:
pp142, Exercises: 4.1-2		1) Determine probabilities including less than, greater than and between. 2) Determine percentiles. 3) Given a (central) probability, find two values equidistant from the mean that contain this probability.In cell below are Canvas and Blackboard cartridges...Probably could be higher up in the list:
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Normal distributionCO3Recognize the normal probability distribution and apply it appropriately. (OpenStax)Slides: OpenIntro Section 4.1: Normal Distributions https://docs.google.com/presentation/d/1k9JuvQubn-TkS9_mQkldKnrhGUouiGgGEHDaauaHuI8/editOpenStax Sections 6.2-6.4, Lumen Module 6, OpenIntro 4.1https://www.amstat.org/asa/files/pdfs/stew/WhatDoestheNormalDistributionSoundLike.pdf ; Hands on activity: https://www.amstat.org/asa/files/pdfs/stew/WalktheLine.pdfOpenIntro 4th Ed:
pp142, Exercises: 4.3-10		1) Calculate a z-score. 2) Determine probabilities including less than, greater than and between. 3) Determine percentiles. 4) Given a (central) probability, find two values equidistant from the mean that contain this probability.https://openstax.org/details/books/introductory-statistics?Instructor%20resources
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Video: OpenIntro Chapter 4: Normal Distributions https://www.youtube.com/watch?list=PLkIselvEzpM6V9h55s0l9Kzivih9BUWeW&v=S_p5D-YXLS4Open Stax Q68-Q88 https://openstax.org/books/introductory-statistics/pages/6-homework
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Sampling distribution of sample proportionsCO3Apply and interpret the Central Limit Theorem for proportions. (OpenStax) OpenStax Section 7.3, Lumen Module 7, OpenIntro 5.1https://www.amstat.org/asa/files/pdfs/stew/HowWetistheEarth.pdfOpenIntro 4th Ed:
pp 156, Exercises: 4.19, 20 		1) Determine how the standard error of the sample proportion changes with respect to the sample size. 2) Determine probabilities including less than, greater than and between as a motivation for p-values. 3) Determine percentiles as a motivation for rejection regions.Open Stax Q61-Q71 https://openstax.org/books/introductory-statistics/pages/7-homework
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Video: OpenIntro Section 5.1: Sampling Distribution of Sample Proportion https://www.youtube.com/watch?v=oLW_uzkPZGA&list=PLkIselvEzpM4SHQojH116fYAQJLaN_4Xo
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Sampling distribution of sample meansCO3Apply and interpret the Central Limit Theorem for means. (OpenStax)https://github.com/OpenIntroStat/openintro-statistics-slides/blob/master/Chp%206/chp6.pdf OpenStax Sections 7.1-7.5, Lumen Module 7 https://openstax.org/books/introductory-statistics/pages/7-introduction https://www.amstat.org/asa/files/pdfs/stew/WhoSendsTheMostTextMessages.pdf (not the greatest)1) Determine how the standard error of the sample mean changes with respect to the sample size. 2) Determine probabilities including less than, greater than and between as a motivation for p-value. 3) Determine percentiles as a motivation for rejection region.
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t-distributionCO2Compare the normal distribution and t-distribution.Video: OpenIntro Section 7.1A: t-distribution https://www.youtube.com/watch?list=PLkIselvEzpM5G3IO1tzQ-DUThsJKQzQCD&v=uVEj2uBJfq0 ; https://docs.google.com/presentation/d/1-8BndXgdD1tzrojKk1vaI3XEfQY89Bnip7bDGt8eqJo/edit#slide=id.g1588f4c38c_0_3OpenIntro 7.11) Understand how the degrees of freedom affect the variability with respect to the standard normal distribution. 2) Given a value on the horizontal axis, compare the tail area of a standard normal distribution and t-distribution.Add the OpenStax quiz questions
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Topic 4: 1-Sample Confidence IntervalsAnalyze sample data to draw inferences about a population parameter using one-sample confidence intervalsZ-interval for population mean

CO2, CO3Interpret and construct confidence intervals for means using large samples and determine sample sizes needed based on the provided sample data to constrain the width of a confidence intervalintro to confidence intervals video: https://www.youtube.com/watch?v=27iSnzss2wM&list=PLvxOuBpazmsMdPBRxBTvwLv5Lhuk0tuXh&index=2&t=0s ;z-interval video: https://www.youtube.com/watch?v=KG921rfbTDw; interpreting confidence intervals: https://www.youtube.com/watch?v=JYP6gc--sGQ&list=PLvxOuBpazmsMdPBRxBTvwLv5Lhuk0tuXh&index=5; finding min sample size (for mean) video: https://www.youtube.com/watch?v=7zcbVaVz_P8&list=PLvxOuBpazmsMdPBRxBTvwLv5Lhuk0tuXh&index=9OpenStax Section 8.1: https://openstax.org/books/introductory-statistics/pages/8-1-a-single-population-mean-using-the-normal-distributionhttps://openstax.org/books/introductory-statistics/pages/8-4-confidence-interval-home-costsOpenstax Q95-Q103: https://openstax.org/books/introductory-statistics/pages/8-homework
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 https://openstax.org/books/introductory-statistics/pages/8-6-confidence-interval-womens-heights
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T-interval for population mean
CO2, CO3Interpret and construct confidence intervals for means using small samples t-interval video: https://www.youtube.com/watch?v=bFefxSE5bmoOpenStax Section 8.2: https://openstax.org/books/introductory-statistics/pages/8-2-a-single-population-mean-using-the-student-t-distributionhttps://www.amstat.org/asa/files/pdfs/stew/ConfidenceinSalaries9-12_October2016.pdf OpenIntro 4th Ed:
pp259-261, Exercises: 7.1-6, 10, 11b		Openstax Q104-Q116: https://openstax.org/books/introductory-statistics/pages/8-homework
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https://www.amstat.org/asa/files/pdfs/stew/TheBlob.pdf https://openstax.org/books/introductory-statistics/pages/8-5-confidence-interval-place-of-birth
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Z-interval for population proportion
CO3Interpret and construct confidence intervals for proportions and determine sample sizes needed based on the provided sample data to constrain the width of the confidence interval1-prop z-interval video: https://www.youtube.com/watch?v=3ReWri_jh3M ; finding min sample video (for proportion) video: https://www.youtube.com/watch?v=mmgZI2G6ibI
Openintro Slides: https://docs.google.com/presentation/d/1lqUwNYtSvXRr3XN5sYOZZVrpp28lMQDtC8453pgfOsM/edit#slide=id.g179ac18b5b_0_0
OpenIntro Video: https://www.youtube.com/watch?v=A6_W8qY8zJo&list=PLkIselvEzpM4SHQojH116fYAQJLaN_4Xo
OpenStax Section 8.3: https://openstax.org/books/introductory-statistics/pages/8-3-a-population-proportionhttps://www.amstat.org/asa/files/pdfs/stew/HowWetistheEarth.pdfOpenIntro 4th Ed:
pp187-188, Exercises: 5.7, 8, 9, 11, 12, 13, 14
pp215-216 , Exercises 6.5, 7, 8, 9, 10, 11 		Openstax Q117-Q134: https://openstax.org/books/introductory-statistics/pages/8-homeworkAlternate openintro video for 1propzint: https://www.youtube.com/watch?v=A6_W8qY8zJo&list=PLkIselvEzpM4SHQojH116fYAQJLaN_4Xo
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Topic 5: 1-Sample Hypothesis TestingAnalyze sample data to draw inferences about a population parameter using one-sample hypothesis testsComponents of hypothesis testing: Ho,Ha, types of errors, p-value approach, rejection region approach

CO1Describe the purpose and components of hypothesis testing (including the null hypothesis, alternative hypothesis, decision, and interpretation)Slides: OpenIntro 5.3: Hypothesis Testing https://docs.google.com/presentation/d/17ZdpA6YmX8EDCMJCajszOVAnSOHGFqhlm7mQTUFV32A/edit#slide=id.g179ac4aaec_0_0https://openstax.org/books/introductory-statistics/pages/9-introductionOpenStax Q62-Q72: https://openstax.org/books/introductory-statistics/pages/9-homework
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Video: OpenIntro 5.3: Hypothesis Testing: https://www.youtube.com/watch?v=NVbPE1_Cbx8&list=PLkIselvEzpM4SHQojH116fYAQJLaN_4Xo
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Z test for mean

CO2, CO3Perform and Interpret a hypothesis test for a population mean using a large sample (or sigma known)https://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testingStats Lab 9.1: Hypothesis Testing of a Single Mean and Single Proportion https://openstax.org/books/introductory-statistics/pages/9-6-hypothesis-testing-of-a-single-mean-and-single-proportionhttps://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testinghttps://openstax.org/books/introductory-statistics/pages/9-practice
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OpenStax Q74-Q76: https://openstax.org/books/introductory-statistics/pages/9-homework
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T test for mean CO2, CO3Perform and Interpret a hypothesis test for a population mean using a small sample (or sigma unknown)Slides: OpenIntro 7.1: One-sample means with the t-distribution https://docs.google.com/presentation/d/1-8BndXgdD1tzrojKk1vaI3XEfQY89Bnip7bDGt8eqJo/edit#slide=id.g1588f4c38c_0_3https://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testinghttps://www.amstat.org/asa/files/pdfs/stew/TheBlob.pdf ("The Blob" is written for confidence intervals, but could be used for hypothesis testing as it is claimed that the area of the blob is 15,095 sq yds. on page 7.)Stats Lab 9.1: Hypothesis Testing of a Single Mean and Single Proportion https://openstax.org/books/introductory-statistics/pages/9-6-hypothesis-testing-of-a-single-mean-and-single-proportionhttps://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testinghttps://openstax.org/books/introductory-statistics/pages/10-1-two-population-means-with-unknown-standard-deviations
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Video: OpenIntro Video 7.1B: Inference for a Mean https://www.youtube.com/watch?v=RYVIGj1l4xs&list=PLkIselvEzpM5G3IO1tzQ-DUThsJKQzQCDOpenStax Q77-Q79, Q81-Q82, Q85-Q87: https://openstax.org/books/introductory-statistics/pages/9-homework
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Z test for proportionCO3Perform and Interpret a hypothesis test for a population proportion using a large sample Video: OpenIntro Video 6.1, 6.2: Inference for Proportions https://www.youtube.com/watch?list=PLkIselvEzpM5Gn-sHTw1NF0e8IvMxwHDW&v=_iFAZgpWsx0https://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testinghttps://www.amstat.org/asa/files/pdfs/stew/IAlwaysFeelLikeSomebodysWatchingMe.pdf Stats Lab 9.1: Hypothesis Testing of a Single Mean and Single Proportion https://openstax.org/books/introductory-statistics/pages/9-6-hypothesis-testing-of-a-single-mean-and-single-proportionhttps://openstax.org/books/introductory-statistics/pages/9-3-distribution-needed-for-hypothesis-testing
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Slides 6.1: Inference for a Single Proportion (includes minimum sample size calculation) https://docs.google.com/presentation/d/1pMqj43zebSVQipD85yXFRoOwDlaEmrhXrPH8Sbf_Eco/edit#slide=id.g18eb21b77d_0_0https://www.amstat.org/asa/files/pdfs/stew/HowWetistheEarth.pdf ("How Wet is the Earth" is written for sampling distributions and confidence intervals, but could be used for hypothesis testing as it is claimed that the population proportion of water on the Earth's surface is 0.71.)OpenStax Q73, Q80, Q83-Q84: https://openstax.org/books/introductory-statistics/pages/9-homework
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Topic 6: 2-Sample Inference for MeansAnalyze sample data to draw inferences about two population means 2-sample Z test and 2-sample z-interval for difference of means
CO3Perform and interpret a hypothesis test and construct and interpret a confidence interval for a difference of population means using large samplesShould we combine with HT? If so, this playlist includes the different learning outcomes for both CI and HT: https://www.youtube.com/watch?v=86ss6qOTfts&list=PLvxOuBpazmsN0jpds3sD1vHmAlw5XFKx-OpenStax Q93-Q98: https://openstax.org/books/introductory-statistics/pages/10-homework
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2-sample T test and 2-sample t-interval (independent) for difference of meansCO3Perform and interpret a hypothesis test and construct and interpret a confidence interval for a difference of two population means using small independent sampleshttps://openstax.org/books/introductory-statistics/pages/10-1-two-population-means-with-unknown-standard-deviationshttps://www.amstat.org/asa/files/pdfs/stew/AnAmazingComparison.pdfOpenStax Q78-Q92: https://openstax.org/books/introductory-statistics/pages/10-homework
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Video: OpenIntro Video 7.3: Inference for Two Means https://www.youtube.com/watch?v=emZ24asR2F4&list=PLkIselvEzpM5G3IO1tzQ-DUThsJKQzQCD
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Slides: OpenIntro 7.3: Inference for Two Means https://docs.google.com/presentation/d/1S4mme49id7fN4xUAbhPPewW2t3V3_oIBcCLF0d1ctqo/edit#slide=id.g1588f4c38c_0_3
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OpenIntro 4th Ed, section 7.3.1, pp 267-269;
also lumenlearning: https://courses.lumenlearning.com/wm-concepts-statistics/chapter/estimating-the-difference-in-two-population-means/
OpenIntro 4th Ed:
pp275, Exercises: 25b, 26, 30		Lumen Learning Test Bank,
Inference for means,
Questions: 12, 32, 34

These questions sort of cover the topic. They are questions for confidence intervals for difference of means, but do not require the calculations that the other materials likely discuss.
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T test (dependent) and t-interval for difference of means
CO3Perform and interpret a hypothesis test and construct and interpret a confidence interval for a difference of population means using small dependent samplesVideo: OpenIntro Video 7.2: Inference for Paired Data https://www.youtube.com/watch?v=K0QZ9_4w0HU&list=PLkIselvEzpM5G3IO1tzQ-DUThsJKQzQCDhttps://www.amstat.org/asa/files/pdfs/stew/WhichHandRules9-12August2017.pdf (requires a ruler or yardstick for each student)OpenStax Q115-Q123: https://openstax.org/books/introductory-statistics/pages/10-homework
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Slides: OpenIntro 7.2: Inference for Paired Data https://docs.google.com/presentation/d/1vA2PCPNsWNJKX-_By_zYW5duUpUz1etPB6fU8V6zIKw/edit#slide=id.g1588f4c38c_0_3
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OpenIntro 4th Ed: pp 266, Exercises: 21, 22
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https://openstax.org/books/introductory-statistics/pages/10-introduction ; https://openstax.org/books/introductory-statistics/pages/10-1-two-population-means-with-unknown-standard-deviations ; https://openstax.org/books/introductory-statistics/pages/10-2-two-population-means-with-known-standard-deviationshttps://openstax.org/books/introductory-statistics/pages/10-practicehttps://openstax.org/books/introductory-statistics/pages/10-homework
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Topic 7: 2-Sample Inference for ProportionsAnalyze sample data to draw inferences about two population proportions2-sample Z test and 2-sample z-interval for difference of proportionsCO3Perform and interpret a hypothesis test and construct and interpret a confidence interval for a difference of population proportions Video: OpenIntro Video 5.4: Inference for Other Estimators https://www.youtube.com/watch?v=PUMBNtVKr_g&list=PLkIselvEzpM4SHQojH116fYAQJLaN_4Xohttps://www.amstat.org/asa/files/pdfs/stew/YouWillSoonAnalyzeCategoricalData.pdf (this is actually for chi-square test of homogeneity but can easily be adapted to two sample proportions; fortunes are provided at end of activity or purchase your own fortune cookies)OpenStax Q99-Q114: https://openstax.org/books/introductory-statistics/pages/10-homework
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Video: OpenIntro Video 6.1, 6.2: Inference for Proportions https://www.youtube.com/watch?list=PLkIselvEzpM5Gn-sHTw1NF0e8IvMxwHDW&v=_iFAZgpWsx0
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Slides: OpenIntro 6.2: Inference for a Difference in Two Proportions https://docs.google.com/presentation/d/17sl9fMQyFcDnDvK1K3dRblAR9ETxMReYCLvV4yK_2sg/edit#slide=id.g18eb41d7d3_0_0
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OpenIntro Slides (Slides 2-24): https://docs.google.com/presentation/d/17sl9fMQyFcDnDvK1K3dRblAR9ETxMReYCLvV4yK_2sg/edit#slide=id.g18eb41d7d3_0_125
OpenIntro Videos: The videos combine ideas on inference (both CI and HT) for a single and difference in proportions into one video. Given the structure of our material they would not be useful, but may be worth linking for instructors following a different path.		OpenIntro 4th Ed, section 6.2.2, pp 217-219OpenIntro 4th Ed:
pp225-226, Exercises: 19, 21, 22		Lumen Learning Test Bank,
Inference for Two Proportions,
Questions: 13-21
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https://openstax.org/books/introductory-statistics/pages/10-3-comparing-two-independent-population-proportionshttps://openstax.org/books/introductory-statistics/pages/10-introductionhttps://openstax.org/books/introductory-statistics/pages/10-3-comparing-two-independent-population-proportionshttps://openstax.org/books/introductory-statistics/pages/10-homeworkhttps://openstax.org/books/introductory-statistics/pages/10-chapter-review
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https://openstax.org/books/introductory-statistics/pages/10-5-hypothesis-testing-for-two-means-and-two-proportionshttps://openstax.org/books/introductory-statistics/pages/10-5-hypothesis-testing-for-two-means-and-two-proportionshttps://openstax.org/books/introductory-statistics/pages/10-practice
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Topic 8: RegressionRegression AnalysisLinear relationships between two variablesCO2, CO3Construct and interpret linear relationship between two variables; define and interpret the slope and y-intercept of a linear equationVideo: OpenIntro Video 8.1: Line Fitting, Residuals and Correlation https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=mPvtZhdPBhQhttps://openstax.org/books/introductory-statistics/pages/12-1-linear-equations; https://www.amstat.org/asa/files/pdfs/stew/TheUnitedStatesofObesity.pdfQ1-Q19: https://openstax.org/books/introductory-statistics/pages/12-practicehttps://seeing-theory.brown.edu/index.html
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Slides: OpenIntro Slides 8.1: Line Fitting, Residuals and Correlation https://docs.google.com/presentation/d/1DqA5n0m53j2gZeqqn4Jog2B6JEzwXNOXtLPPPKY6ZH0/edithttps://openstax.org/books/introductory-statistics/pages/12-2-scatter-plots
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The linear correlation coefficientCO2, CO3Calculate and interpret the linear correlation coefficient Video: OpenIntro Video 8.1: Line Fitting, Residuals and Correlation https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=mPvtZhdPBhQhttps://openstax.org/books/introductory-statistics/pages/12-3-the-regression-equation (From "The Correlation Coefficient r" to bottom of page)Q38: https://openstax.org/books/introductory-statistics/pages/12-practice
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Slides: OpenIntro Slides 8.1: Line Fitting, Residuals and Correlation https://docs.google.com/presentation/d/1DqA5n0m53j2gZeqqn4Jog2B6JEzwXNOXtLPPPKY6ZH0/edit
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The linear regression model & the least squares regression lineCO3Construct and interpret the least squares regression lineVideo: OpenIntro Video 8.2: Fitting a Line with Least Squares Regression https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=z8DmwG2G4Qchttps://openstax.org/books/introductory-statistics/pages/12-3-the-regression-equation (Top of page until "The Correlation Coefficient r")https://www.amstat.org/asa/files/pdfs/stew/NFLQuarterbackSalaries.pdfQ20-Q27: https://openstax.org/books/introductory-statistics/pages/12-practice
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Slides: OpenIntro Slides 8.2: Fitting a Line with Least Squares Regression https://docs.google.com/presentation/d/1ABWqpgPhn3kphZ0iMPAIskb4JOrZnFJPhyPHctT-ptI/edit#slide=id.g1b5d4ca2fd_0_0
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Residual analysisCO2Identify outliers and assess the appropriateness of fit of the linear regression modelVideo: OpenIntro Video 8.3: Types of Outliers in Linear Regression https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=jZEKAlo1E54https://openstax.org/books/introductory-statistics/pages/12-6-outliershttps://openstax.org/books/introductory-statistics/pages/12-7-regression-distance-from-school (This activity covers topics from the beginning of this module through outliers)https://openstax.org/books/introductory-statistics/pages/12-8-regression-textbook-cost (This activity covers topics from the beginning of this module through outliers)Q51-Q56: https://openstax.org/books/introductory-statistics/pages/12-practice
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Slides: OpenIntro Slides 8.3: Types of Outliers in Linear Regression https://docs.google.com/presentation/d/1PBKxvXhjl9M1bTcFT2bSzMRtNtWarUtdipd5EeTJzHk/edit#slide=id.g1a636de074_0_0https://openstax.org/books/introductory-statistics/pages/12-9-regression-fuel-efficiency (This activity covers topics from the beginning of this module through outliers)
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Inferences about the slope of the population regression line (Confidence Interval and
Hypothesis Test)		CO2, CO3Perform and interpret a hypothesis test and construct and interpret a confidence interval for the slope of the population regression lineVideo: OpenIntro Video 8.4: Inference for Linear Regression https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=depiT-hTaGAQ28-Q30: https://openstax.org/books/introductory-statistics/pages/12-practice
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Slides: OpenIntro Slides 8.4: Inference for Linear Regression https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=depiT-hTaGA
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The coefficient of determination
CO3Calculate and interpret the coefficient of determinationVideo: OpenIntro Video 8.2: Fitting a Line with Least Squares Regression https://www.youtube.com/watch?list=PLkIselvEzpM63ikRfN41DNIhSgzboELOM&v=z8DmwG2G4Qc
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Slides: OpenIntro Slides 8.2: Fitting a Line with Least Squares Regression https://docs.google.com/presentation/d/1ABWqpgPhn3kphZ0iMPAIskb4JOrZnFJPhyPHctT-ptI/edit#slide=id.g1b5d4ca2fd_0_0
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