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Statistics

The course covers altogether 116 topic areas (including 19 mathematical readiness topics that you should ideally know
from high school). Thus, you will learn 97 new topics. The topics, as well as the target dates of intermediate objectives,
are listed below. Additional assignments and exam dates are also listed below.

•Mathematical readiness (19 topic areas, to be completed by January 22)

•Arithmetic readiness (10 topic areas)
Order of operations: Problem type 1
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
Summation of indexed data

•Algebra readiness (9 topic areas)
Solving a linear equation: Problem type 1
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 slope and the y-intercept
Graphing a line given the x- and y-intercepts
Graphing a line given its equation in slope-intercept form
Graphing the line through a given point with a given slope

Please watch the VoD “1. What is Statistics?”

The material up to this point has a target date of January 22.

•Descriptive statistics (16 new topic areas, to be completed by January 29)

•Graphical displays (7 topic areas)
Histograms for grouped data
Frequency polygons for grouped data
Interpreting relative frequency histograms
Cumulative distributions and ogives
Comparing means without calculation
Comparing standard deviations without calculation
Box-and-whisker plots

•Descriptive measures (9 topic areas)
Mean, median, and mode: Computations
Weighted mean: Tabular data
Estimating the mean of grouped data
Percentiles
Population standard deviation
Sample standard deviation
Estimating the standard deviation of grouped data
Mean, median, and mode: Comparisons
Transforming the mean and standard deviation of data sets

Please watch the VoDs “2. Picturing Distributions, 3. Describing Distributions,”
and “4. Normal Distributions.”

The material up to this point has a target date of January 29.

January 30
Quiz 1: Descriptive Statistics.
Quizzes are for review, NOT for grade

•Probability (24 new topic areas, to be completed by February 19)

•Counting (6 topic areas)
Factorial expressions
Combinations
Permutations
Permutations, combinations, and the multiplication principle for counting
Probabilities of draws with replacement
Probabilities of draws without replacement

•Events and probability (10 topic areas)
Venn diagrams: Two events
Venn diagrams: Word problems
Outcomes and event probability
Die rolling
Probability of intersection or union: Word problems
Independent events: Basic
Probability of union: Basic
Mutually exclusive events: Two events
Independent events: Two events
The curious die

•Conditional probability (8 topic areas)
Calculating relative frequencies in a contingency table
Conditional probability: Basic
Intersection and conditional probability
Conditional probability: Mutually exclusive events
Conditional probability: Independent events
Tree diagrams for conditional probabilities
Law of total probabilities
Bayes' theorem

Please watch the VoDs “12. Experimental Design, 13. Blocking and Sampling”
and “15. What is Probability?”

The material up to this point has a target date of February 19.

February 20
Quiz 2: Probability.
Quizzes are for review, NOT for grade.

February 22
FIRST GRADED ASSESSMENT
Room 289, ID required
Scheduling is by appointment plus first come first served.

Grading Scale for First Graded Assessment
(% values are % of the entire semester course materials)

You master 51% or more	Your receive A+
45% – 50%	A
40% – 45%	B
35% - 40 %	C
30% - 35%	D
< 30%	F

•Random variables (9 new topic areas, to be completed by February 26)

•One random variable (7 topic areas)
Classification of variables and levels of measurement
Discrete versus continuous variables
Discrete probability distribution: Basic
Discrete probability distribution: Word problems
Cumulative distribution function
Expectation and variance of a random variable
Rules for expectation and variance of random variables

•Two random variables (2 topic areas)
Marginal distributions of two discrete random variables
Joint distributions of dependent or independent random variables

Please watch the VoDs “14. Samples and Surveys,” and “16. Random Variables.”

The material up to this point has a target date of February 26.

February 27
Quiz 3: Random Variables
Quizzes are for review, NOT for grade

•Distributions (17 new topic areas, to be completed by March 16)

•Fundamental distributions (14 topic areas)
Binomial problems: Mean and standard deviation
Binomial problems: Basic
Binomial problems: Advanced
Standard normal probabilities
Standard normal values: Basic
Standard normal values: Advanced
Normal versus standard normal density curves
Normal distribution raw scores
Mean and deviation of a normal distribution
Normal distribution: Word problems
t distribution
Chi-square distribution
F distribution
Normal approximation to binomial

•Central limit theorem (3 topic areas)
Central limit theorem: Sample mean
Central limit theorem: Sample sum
Central limit theorem: Sample proportion

Please watch the VoDs “5. Normal Calculations, 17. Binomial Distributions,” and
“18. The Sample Mean and Control Charts,”

The material up to this point has a target date of March 16.

The material up to this point has a target date of March 16.

March 27
Quiz 4: Distributions
Quizzes are for review, NOT for grade

•Inferential statistics (18 new topic areas, to be completed by April 9)

•Confidence intervals and estimation (8 topic areas)
Selecting a distribution for inferences on the population mean
Confidence interval for the population mean: Use of the standard normal
Choosing an appropriate sample size
Confidence interval for the population mean: Use of the t distribution
Confidence interval for a population proportion
Confidence interval for the difference of population means: Use of the standard normal
Confidence interval for the difference of population means: Use of the t distribution
Confidence interval for the difference of population proportions

•Hypothesis tests (10 topic areas)
Determining null and alternative hypotheses
Type I and Type II errors
Type I and Type II errors and power
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 difference of population means: Z test
Hypothesis test for the difference of population means: Paired comparisons
Hypothesis test for the difference of population means: t test
Hypothesis test for the difference of population proportions