Unit 1
Unit 1 will cover Chapters 1 and 2
1.1
Distinguish between populations and samples
Distinguish between parameters and statistics
Interpret confidence intervals and margin of error
1.2
Identify sampling methods
Determine whether a sample is likely representative or biased
1.3
Understand experimental design concepts like control and treatment groups, confounding variables, placebo and placebo effect, and blinding
Identify problems in an experiment
1.4
Understand the Eight Guidelines (p 30) and use them to identify problems in a statistical study
2.1
Distinguish between qualitative and quantitative data
Distinguish between discrete and continuous data
Identify levels of measurement (nominal, ordinal, interval, or ratio)
2.2
Distinguish between random and systematic errors
Distinguish between accuracy and precision
Unit 2
Unit 2 will cover Chapters 3 and 4.
3.1
Construct and interpret frequency tables, including relative and cumulative frequencies
3.2
Construct and interpret bar graphs, dotplots, pie charts, histograms, stemplots, line charts, and time-series graphs
3.3
Construct and interpret multiple bar graphs, multiple line charts, and stack plots
3.4
Identify how a graph might be misleading
4.1
Find and compare mean, median, and mode
Calculate a weighted mean
4.2
Describe distributions using modes, symmetry, skewness, and variation
4.3
Calculate range and standard deviation
Calculate percentiles
4.4
Read data in a two-way table
Analyze data that may exhibit a paradox
Analyze data that involve false positives and false negatives
Unit 3
Test 3 will cover Chapters 6 and 7.
6.2
Understand basic concepts of probability
Distinguish between theoretical probabilities, relative frequency probabilities, and subjective probabilities
Find theoretical probabilities using counting rules
6.3
Understand the Law of Large Numbers
Understand the Gambler's Fallacy
Calculate and interpret expected value
6.4
Interpret situations involving risk and life expectancy
Analyze data involving vital statistics and life expectancy
6.5
Distinguish between independent and dependent events
Identify overlapping events
Find probabilities for independent, dependent, and overlapping events
Find probabilities of events involving the words "and" and "or"
7.1
Understand the difference between correlation and causality
Distinguish between positive and negative correlation
Calculate and interpret r-values for linear correlations
Construct and interpret scatterplots
7.2
Identify outliers and interpret their effects on a correlation
Describe correlations and their possible causes
7.3
Understand best-fit lines and how to use them to make predictions
Construct a best-fit line on a scatterplot
7.4
Evaluate claims about causality
Unit 4
Unit 4 will cover Chapters 5 and 8.
5.1
Understand concepts related to the normal distribution
Determine if a variable is normally distributed
5.2
Calculate and interpret standard scores
Use the 68-95-99.7 Rule to find the percentage for a given range of values
Use Excel or tables to find probabilities/areas under a normal distribution
5.3
Understand concepts related to the Central Limit Theorem
Use the CLT to find the mean and standard deviation of a distribution of sample means
Apply the CLT to find probabilities/percentages related to a distribution of sample means
8.1
Construct and interpret sampling distributions for the sample mean or the sample proportion
Use sampling distributions to find probabilities
8.2
Find and interpret confidence intervals for population means
Find sample size needed for a desired margin of error
8.3
Find and interpret confidence intervals for population proportions
Find sample size needed for a desired margin of error
Unit 5
Unit 5 will cover section 6.1, Chapter 9, and sections 10.2 and 10.3.
6.1
Understand the concept of a statistically significant result
Identify results that are statistically significant
9.1
Understand concepts and definitions related to hypothesis testing and statistical significance
Formulate null and alternative hypotheses
9.2
Distinguish between Type I errors and Type II errors
Test claims about population means, including calculating the z-test statistic, calculating the P-value, and drawing and interpreting a conclusion
9.3
Test claims about population proportions, including calculating the z-test statistic, calculating the P-value, and drawing and interpreting a conclusion
10.2
Understand hypothesis tests for two-way tables (test for independence)
Perform a test for independence using a two-way table, including calculating expected frequencies, calculating the chi-square statistic, and drawing and interpreting a conclusion
10.3
Understand and analyze one-way ANOVA tests
Use Excel to run an ANOVA test
Read P-values and F-values from an ANOVA output table, and draw and interpret a conclusion