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Introduction to Statistics

Readiness (16 topics) Due 5/15

• Order of operations: Problem type 2
• Decimal place value
• Rounding decimals
• Converting between percentages and decimals
• Percentage of a whole number
• Writing a ratio as a percentage
• Converting a percentage to a fraction
• Converting a fraction to a percentage
• Solving a linear equation with several occurrences of the variable: Problem type 1
• Solving a linear equation with several occurrences of the variable: Problem type 3
• Y-intercept of a line
• X- and y-intercepts of a line given the equation in standard form
• Writing an equation of a line given the y-intercept and a point
• Graphing a line given the x- and y-intercepts
• Graphing a line given its equation in slope-intercept form
• Graphing a line through a given point with a given slope

Chapter 1 (2 topics) Due 5/15
• Classification of variables and levels of measurement
• Discrete versus continuous variables

Chapter 2 (7 topics) Due 5/15
• Histograms for grouped data
• Frequency polygons for grouped data
• Interpreting relative frequency histograms
• Cumulative distributions and ogives
• Interpreting pie charts
• Computations from pie charts
• Interpreting a stem-and-leaf display

Chapter 3 (14 topics) Due 5/22
• Summation of indexed data
• Comparing means without calculation
• Mean, median, and mode: Computations
• Rejecting unreasonable claims based on average statistics
• Weighted mean: Tabular data
• Estimating the mean of grouped data
• Mean, median, and mode: Comparisons
• Comparing standard deviations without calculation
• Population standard deviation
• Sample standard deviation
• Estimating the standard deviation of grouped data
• Chebyshev's theorem and the empirical rule
• Percentiles
• Box-and-whisker plots

You need to complete ALL of the above topics BEFORE taking Exam #1 - Due 5/22

Chapter 4 (16 topics) Due 5/29
• Outcomes and event probability
• Die rolling
• Probability of intersection or union: Word problems
• Probabilities of draws with replacement
• Independent events: Basic
• Probability of union: Basic
• Probability of independent events
• Calculating relative frequencies in a contingency table
• Conditional probability: Basic
• Probability of dependent events
• Intersection and conditional probability
• Tree diagrams for conditional probabilities
• Factorial expressions
• Combinations
• Permutations
• Probabilities of draws without replacement

Chapter 5 (6 topics) Due 5/29
• Discrete probability distribution: Basic
• Discrete probability distribution: Word problems
• Expectation and variance of a random variable
• Binomial problems: Mean and standard deviation
• Binomial problems: Basic
• Binomial problems: Advanced

Chapter 6 (8 topics) Due 6/5
• Standard normal probabilities
• Standard normal values: Basic
• Standard normal values: Advanced
• Normal versus standard normal density curves
• Normal distribution raw scores
• Normal distribution: Word problems
• Central limit theorem: Sample mean
• Normal approximation to binomial

You need to complete ALL of the above topics BEFORE taking Exam #2 - Due 6/5

Chapter 7 (8 topics) Due 6/12
• Confidence interval for the population mean: Use of the standard normal
• Choosing an appropriate sample size
• t distribution
• Selecting a distribution for inferences on the population mean
• Confidence interval for the population mean: Use of the t distribution
• Confidence interval for a population proportion
• Chi-square distribution
• Confidence interval for the population standard deviation

Chapter 8 (6 topics) Due 6/12
• Type I and Type II errors
• Determining null and alternative hypotheses
• Hypothesis test for the population mean: Z test
• Hypothesis test for the population mean: t test
• Hypothesis test for a population proportion
• Hypothesis test for the population variance or standard deviation

Chapter 9 (8 topics) Due 6/19
• Confidence interval for the difference of population means: Use of the standard normal
• Hypothesis test for the difference of population means: Z test
• Confidence interval for the difference of population means: Use of the t distribution
• Hypothesis test for the difference of population means: t test
• Hypothesis test for the difference of population means: Paired comparisons
• Making reasonable inferences based on proportion statistics
• Confidence interval for the difference of population proportions
• Hypothesis test for the difference of population proportions

You need to complete ALL of the above topics BEFORE taking Exam #3 - Due 6/19

Chapter 10 (6 topics) Due6/26
• Hypothesis tests for the correlation coefficient and the slope of the least-squares regression line
• Sketching the least-squares regression line
• Linear relationship and the sample correlation coefficient
• Predictions from the least-squares regression line
• Computing the sample correlation coefficient and the coefficients for the least-squares regression line
• Explained and unexplained variation and the least-squares regression line

Chapter 11 (3 topics) Due 6/26
• Chi-square goodness-of-fit test
• Contingency tables: Expected frequencies
• Chi-square test of independence

You need to complete ALL topics BEFORE taking the Final Exam
Taken on CAMPUS 6/26

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