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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