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## Description

The content of the coursework for Statistics was created to meet all of the Statistics for the CPA program. As of 2020, the required CPA competencies are:

- Probability

- Discrete probability distributions

- Normal and other continuous probability distributions (e.g. exponential and/or uniform)

- Sampling, confidence intervals and estimation

- Hypothesis testing (one and two-sample, means and proportions, ANOVA)

- Chi-square tests

- Regression and correlation (simple linear, multiple including model building)

- Forecast time series data

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## Learning Outcomes

• Determine the cost of long-term assets and compute depreciation;
• Define and record current liabilities including notes payable;
• Account for long-term liabilities including the issuance, amortization and retirement of bonds;
• Describe the nature and issuance of capital stock;
• Compute earnings per share - both basic and fully diluted earnings per share;
• Account for cash and stock dividends, and discuss stock splits;
• Prepare a statement of retained earnings;
• Describe and account for partnerships;
• Develop and analyze cash flow statements for different users;
• Prepare a statement of changes in financial position;
• Explain the nature and purpose of independent audits of financial statements, and discuss the crucial role of professional judgment in the financial reporting process;
• Describe and account for debt and share investments.

## Course Materials

• Business Statistics - Assignment 1 - Introduction to Statistics
• Business Statistics - Assignment 2 - Random Variables and Discrete Probability Distributions
• Business Statistics - Assignment 3 - Continuous Probability Distributions
• Business Statistics - Assignment 4 - Sampling Methods and the Central Limit Theorem
• Business Statistics - Assignment 5 - Estimation and Confidence Intervals
• Business Statistics - Assignment 6 - One-sample Hypothesis Tests
• Business Statistics - Assignment 7 - Two-sample Hypothesis Tests
• Business Statistics - Assignment 8 - Analysis of Variance
• Business Statistics - Assignment 9 - Simple Linear Regression and Correlation
• Business Statistics - Assignment 10 - Multiple Regression and Correlation Analysis
• Business Statistics - Assignment 11 - Chi-Squared Tests
• Business Statistics - Assignment 12 - Index Numbers & Time Series and Forecasting
• Business Statistics - Statistics Course Supplement Guide Complete with Lesson Plans
• Business Statistics - Part 1 – Introduction to Statistics Lesson and Formula
• Business Statistics - Part 2 – Discrete Probabilities Lesson and Formula
• Business Statistics - Part 3 – Continuous Probabilities Lesson and Formula
• Business Statistics - Part 4 – Sampling Methods and Central Limit Theorem Lesson and Formula
• Business Statistics - Part 5 – Estimation and Confidence Intervals Lesson and Formula
• Business Statistics - Part 6 – One-sample Hypothesis Tests Lesson and Formula
• Business Statistics - Part 7 – Two-sampled Hypothesis Tests Lesson and Formula
• Business Statistics - Part 8 – Analysis of Variance Lesson and Formula
• Business Statistics - Part 9 – Linear Regression Lesson and Formula
• Business Statistics - Part 10 – Multiple Regression Analysis Lesson and Formula
• Business Statistics - Part 11 – Chi-Square Applications Lesson and Formula
• Business Statistics - Part 12 – Index Numbers, Time Series and Forecasting Lesson and Formula
• Business Statistics - Z Table
• Business Statistics - T Table
• Business Statistics - F Table
• Business Statistics - Chi Squared Table
• Business Statistics - Question 1.1 Mean, Median, Mode
• Business Statistics - Question 1.2 Mean Absolute Deviation
• Business Statistics - Question 1.3 Variance and Standard Deviation
• Business Statistics - Question 2.1 Expected Value
• Business Statistics - Question 2.2 Expected Value Standard Deviation
• Business Statistics - Question 2.3 Binomial Probability Distribution
• Business Statistics - Question 2.4 Hypergeometric Probability Distribution
• Business Statistics - Question 2.5 Poisson Probability Distribution
• Business Statistics - Question 3.1 Uniform Distribution: Probability, Mean, and Standard Deviation
• Business Statistics - Question 3.2.1 Normal Distribution – Converting To Z-Scores
• Business Statistics - Question 3.2.2 Normal Distribution – Using The Z-Score To Find Probability
• Business Statistics - Question 3.2.3 Normal Distribution – Using The Z-Score Table In Reverse
• Business Statistics - Question 4.1 Sampling Methods
• Business Statistics - Question 4.2 Standard Error Where Population Standard Deviation Is Known
• Business Statistics - Question 4.3 Standard Error Probability
• Question 5.1 Confidence Interval When Population Standard Deviation Is Known
• Question 5.2 Confidence Interval When Population Standard Deviation Is Not Known
• Question 6.1 Stating the Null and Alternative Hypothesis, Type Errors
• Question 6.2 Hypothesis test when population standard deviation is known – confidence interval approach
• Question 6.3 Hypothesis test when population standard deviation is known – confidence interval approach
• Question 6.4 Hypothesis test when population standard deviation is known – p-value method
• Question 6.5 Hypothesis test when population standard deviation is known – p-value method
• Question 6.6 Hypothesis test when population standard deviation is unknown – p-value method
• Question 6.7 Hypothesis test when population standard deviation is unknown – p-value method
• Question 7.1 Two Sample Hypothesis Tests: Independent Samples and Population Standard Deviation Known
• Question 7.2 Two Sample Hypothesis Tests: Independent Samples and Population Standard Deviation Unknown
• Question 7.3 Two-Sample Hypothesis Tests – dependent samples
• Question 8.1 Comparing Two Population Variances
• Question 8.2.1 An ANOVA Test
• Question 8.2.2 Comparing Populations in an ANOVA test
• Question 9.1.1 Determining the linear regression equation
• Question 9.1.2 Calculating Standard Error
• Question 9.1.3 Constructing a Confidence Interval and Prediction Interval
• Question 9.1.4 Calculating Correlation coefficient and Coefficient of Determination
• Question 9.1.5 Hypothesis Testing Strength of Correlation
• Question 10.1.1 Multiple Regression Example
• Question 10.1.2 Evaluating the Equation – ANOVA, Multiple Standard Error of Estimate, and Coefficient of Multiple Determination
• Question 10.1.3 The Global Test: Hypothesis Testing in Multiple Regression
• Question 10.1.4 Individual Regression Coefficients
• Question 11.1 Chi-Square Application
• Question 12.1 Constructing a Simple Index
• Question 12.2 Constructing a time-series forecast using the least squares method