
In this Section 1, we will learn:
Basic Definitions
Data and Sampling
Experimental Design and Ethics
In this Section 2, we will learn:
Frequency Distributions
Graphs for Qualitative Data
Graphs for Quantitative Data
In this Section 3, we will learn:
Measures of Central Tendency
Measures of Variation
Measures of Relative Position
In this Section 4, we will learn:
Terminology
Independent and Mutually Exclusive Events
Two Basic Rules of Probability
Contingency Tables
Counting and Probability
In this section 5, we will learn:
Probability Distribution Function (PDF) for a Discrete Random Variable
Mean, Expected Value, and Standard Deviation
Binomial Distribution
In this Section 6, we will learn:
Continuous Probability Distributions
Uniform Distribution
In this Section 7, we will learn:
Standard Normal Distribution
Using Normal Distribution
In this Section 8, we will learn:
The Central Limit Theorem for Sample Means and Sample Proportions
Using the Central Limit Theorem
The Central Limit Theorem for Sums
In this Section 9, we will lean:
Confidence Interval for Single Population Mean
Confidence Interval for Single Population Proportion
Confidence Interval for Standard Deviation
In this lesson, we will learn:
Elements of a Hypothesis Test
The Z-test for a Single Population Mean using p-value
The T-Test for a Single Population Mean using p-value
Hypothesis Test for a Single Population Proportion using p-value
Critical Values and the Critical Value Method
Type I and Type II Errors
An overview of the ideas and concepts that are basic to modern statistics. Topics include descriptive statistics, probability, estimation, hypothesis testing, and linear regression. Students will be exposed to applications from a variety of fields.
This course focuses on statistical reasoning and the solving of problems using real-world data rather than on computational skills. Emphasis is on interpretation and evaluation of statistical results that arise from simulation and technology-based computations using technology more advanced than a basic scientific calculator, such as graphing calculators with a statistical package, spreadsheets, or statistical computing software. Topics must include data collection processes (observational studies, experimental design, sampling techniques, bias), descriptive methods using quantitative and qualitative data, bivariate data, correlation, and least squares regression, basic probability theory, probability distributions (normal distributions and normal curve, binomial distribution), confidence intervals and hypothesis tests using p-values.
This is a college entry statistics course, where any student can take this as long as you have basic algebra skills. AP Statistics students could also take this course to review all the basic concepts.
There is one chapter on Probability, and it covers all the basics principle of probabilities needed for 1st semester statistics.
We use TI Graphing Calculator to calculate all the statistics formulas in this course.
Upon successful completion of this course, the student should be able to do the following:
Produce and interpret descriptive statistics, graphically, numerically, and in tabular format.
Calculate and interpret probability using union and intersection rules.
Explain the concepts of random variable and distribution.
Use technology to calculate probabilities with the normal and binomial distributions.
Produce a confidence interval estimate from a given sample.
Explain the rationale of hypothesis testing.
Carry out, with the aid of technology, a variety of hypothesis tests, including z-tests and t-tests and interpret the meaning of the results.
Use correlation analysis to determine the strength of a linear relationship between bivariate data and apply linear regression to describe this relationship.