Download general education learning outcomes

Mater Academy Middle/High Charter School
7901 Northwest 103rd Street • Hialeah Gardens, FL 33016
Phone: (305) 828-1886 • Fax: (305) 828-6175
Probability and Statistics with Applications
Syllabus
INSTRUCTOR: Mr. Montalvo / room 105
Email:
[email protected]
[email protected]
Textbook: Larson, R. and Farber, B.“Elementary Statistics”, 4th Edition, ISBN: 978-0-13-600720-3
MATHXL for School will be used for working on Homework, Quizzes, and Tests
COURSE DISCRIPTION & OBJECTIVES:
Collecting, grouping and presenting data; measures of central tendency and dispersion; probability; testing
hypotheses; confidence intervals, and correlation.
EVALUATION POLICY:
There will be a paper-based chapter test for each chapter; in addition, a chapter test can be assigned online via
MathXL. There will be 2 quizzes per chapter, a unit Exam in January and a Final the last week of May.
Homework will be daily via Math XL and additional worksheets.
GRADING POLICY
 Tests - 25%
 Quizzes - 15%
 Class work - 35%
 Home learning -25%
QUIZZES: You will be assigned to take your quizzes on MathXL
HOMEWORK: Homework will be assigned daily via MathXL
for School and paper-based in class.
for School and/or additional worksheets.
ATTENDANCE:
Students are responsible for making up work when they are absent. Students can make-up Only for excused
absences, unexcused absences will be an F or Z until excused.
CHEATING:
Cheating will be no tolerated in this class. Any student caught will receive an automatic “F” for this assignment.
Mater Academy Middle/High Charter School
7901 Northwest 103rd Street • Hialeah Gardens, FL 33016
Phone: (305) 828-1886 • Fax: (305) 828-6175
GENERAL EDUCATION LEARNING OUTCOMES
.
Learning outcomes:
1. To collect representative and un-biased data using the statistical methods.
2. To organize data in frequency distributions charts.
3. To construct data displays according to the statistical methods.
4. To understand and explain data using quantitative reasoning and statistical inferences.
Specific objectives:
 Collect, classify and organize data.
 Construct a frequency distribution, which also shows cumulative and relative frequencies.
 Construct a histogram.
 Construct and interpret stem-and-leaf plots.
 Compute measures of central tendency.
 Compute measures of dispersion.
 Find the percentile of a score or find the score corresponding to a percentile.
 Construct a box-and-whisker diagram.
 Use various counting rules, including the Multiplication Rule, Permutations and Combinations
 Know the meanings of sample space, outcome, event, classical vs. empirical probability
 Compute probabilities of simple events, complement probabilities, and odds
 Apply the addition rules of probability.
 Apply the multiplication rules of probability.
 Compute conditional probabilities.
 Understand the meaning of a probability distribution and be able to construct discrete.
 Compute the mean & variance of a probability distribution.
 Find the expected value of a discrete probability distribution.
 Compute probabilities using the binomial probability distribution.
 Apply the empirical rule for normally distributed data.
 Calculate z-scores and find probabilities for normally distributed data.
 Compute the mean of the sampling distribution of the means or proportions.
 Apply the Central Limit Theorem.
 Apply the normal approximation to the binomial distribution.
 Construct confidence intervals for proportions.
 Construct confidence intervals for a mean (  Known or  Not known).
 Perform hypothesis tests for proportions.
 Perform hypothesis tests for means (  Known or  Not known).
 Perform hypothesis tests for variances or standard deviations (OPTIONAL).
 Compute the p-value associated with a hypothesis test.
 Understand the relationship between a confidence interval and a two-tail hypothesis test.
 Perform hypothesis tests for the difference between two means (independent samples)
Mater Academy Middle/High Charter School
7901 Northwest 103rd Street • Hialeah Gardens, FL 33016
Phone: (305) 828-1886 • Fax: (305) 828-6175
Tentative Schedule
1st Nine Weeks
2nd Nine Weeks
3rd Nine Weeks
4th Nine Weeks
Chapter 1: Introduction
to Statistics
 1.1 An
Overview of
Statistics
 1.2 Data
Classification
 1.3
Experimental
Design
Chapter 2: Descriptive
Statistics
 2.1 Frequency
Distributions &
Their Graphs
 2.2 More
Graphs and
Displays
 2.3 Measures of
Central
Tendency
 2.4 Measures of
Variations
 2.5 Measures of
Position
Chapter 3: Probability
 3.1 Basic
Concepts of
Probability and
Counting
 3.2 Conditional
Probability and
the
Multiplication
Rule
 3.3 The
Addition Rule
 3.4 Additional
Topics in
Probability and
Counting
Chapter 4: Discrete Probability
Distributions
 4.1 Probability
Distributions
 4.2 Binomial
Distributions
 4.3 More Discrete
Probability
Distributions
Chapter 5: Normal Probability
Distributions
 5.1 Introduction to
Normal Distributions
and the Standard
Normal Distribution
 5.2 Normal
Distributions: Finding
Probabilities
 5.3 Normal
Distributions: Finding
Values
 5.4 Sampling
Distributions and the
Central Limit Theorem
 5.5 Normal
Approximations to
Binomial Distributions
Chapter 6: Confidence intervals
 6.1 Confidence
Intervals for the Mean
(Large Samples)
 6.2 Confidence
Intervals for the Mean
(Small Samples)
 6.3 Confidence
Intervals for Population
Proportions
 6.4 Confidence
Intervals for Variance
and Standard Deviation
Chapter 7: Hypothesis Testing
with One Sample
 7.1 Introduction to
Hypothesis Testing
 7.2 Hypothesis Testing
for the Mean (Large
Samples)
 7.3 Hypothesis
Testing for the Mean
(Small Samples)
 7.4 Hypothesis
Testing for
Proportions
 7.5 Hypothesis
Testing for Variance
and Standard
Deviation
Chapter 8: Hypothesis Testing
with two Samples
 8.1 Testing Difference
Between Means
(Large Independent
Samples)
 8.2 Testing
Difference Between
Means (Small
Independent Samples)
 8.3 Testing
Difference Between
Means (Dependent
Samples)
 Testing Difference
Between Proportions
Chapter 9: Correlation and
Regression
 9.1 Correlation
 9.2 Linear Regression
 9.3 Measures of
Regression and
Prediction Intervals
 9.4Multiple
Regression
Chapter 10: Chi-Square
Tests and the FDistribution
 10.1 Goodness of
Fit
 10.2
Independence
 10.3 Comparing
Two Variances
 10.4 Analysis of
Variance
Chapter 11: Nonparametric
Tests
 11.1 The Sign
Test
 11.2 The
Wilcoxon Tests
 11.3 The KruskalWallis Test
 11.4 Rank
Correlation
 11.5 The Runs
Test
Mater Academy Middle/High Charter School
7901 Northwest 103rd Street • Hialeah Gardens, FL 33016
Phone: (305) 828-1886 • Fax: (305) 828-6175