Welcome to the MAT-240 Applied Statistics Workshop Series companion page.
This workshop is a 7-week series that covers material from Modules 1-7 in MAT-240, but anyone taking any statistics course can benefit from this workshop. Read the summaries and descriptions for each week below to see if this workshop would be helpful for you.
See the full workshop schedule to view the day and time this workshop runs in your current term.
Note: The workshop does not run in week 8 of the term.
Week one of the workshop will go over some study tips specifically for learning statistics. Then we'll get into some foundational statistical concepts, including types of sampling, descriptive statistics, measures of center, shape, and measure of spread (variability). We will also look at box plots and the 5-number summary.
See the infographic below for a visual reference of sampling types.
Sampling Types:
- Simple Random
- Cluster
- Stratified
- Systematic
- Convenience
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
Video: The What & Why of Statistics
Statistics Symbols Cheat Sheet
Center, Shape, and Spread Guide (MAT-240 Module 1 Guide)
Qualitative vs Quantitative Data Guide
This week we will be learning about regression. We will go over scatterplots and our X and Y variables, linear relationships and trends, the regression equation, and residuals and the least squares method. At the end of the workshop we will see how to make a scatterplot in excel. The concepts in today's workshop will help you with completing the module 2 assignment for MAT-240.
See the image below to review how to navigate the menus to make a scatterplot in excel.
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
Scatterplots and Linear Regression Guide (MAT-240 Module 2 Guide)
In week three we will learn how to calculate the regression equation in excel. Then we will learn how to find the slope of a trendline by hand using two coordinates on the line. Our workshop will also include the correlation coefficient (R) and the coefficient of determination (R2). We will explore real world applications of relationships between variables.
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
Fitted Models Guide (MAT-240 Module 3 Guide)
In this week's workshop, we'll be learning about probability distributions. We'll learn what a PDF and CDF are, about the normal curve, what the empirical rule is, and all about the standard normal distribution. Then we'll look at how to use the excel equations for probability. Finally, we'll learn what the central limit theorem is. We'll practice solving a problem using the empirical rule at the end of the workshop.
You can use the images of the normal curve, the standard normal curve, and the empirical rule below to help you visualize these distributions when you're doing your homework.
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
Normal Distributions Guide (MAT-240 Module 4 Guide)
Normal Distribution Excel Equations for Finding Probabilities Cheat Sheet
Standard Normal Distribution Guide
This week, we'll learn all about hypothesis testing. We'll cover the types of hypothesis tests you'll do in MAT-240, how to find the test statistic, how to make conclusions, and the two types of errors that can occur in hypothesis testing.
Copy and print the curve below if you want to draw out your hypothesis tests when doing your homework this week.
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
Understanding Hypothesis Testing Guide
Creating Null Hypothesis Guide
Hypothesis Testing Using the Classical Approach Guide
Video: Hypothesis Testing with One-Sample Means
In this week's workshop, we'll be learning what confidence intervals are and how to do them. We'll learn about point estimates, the margin of error, and calculating an interval. Then we'll rearrange our margin of error equation to learn how to determine the sample size needed for a specific margin of error.
The image below shows how a confidence interval looks on the normal curve
Refer to the image below to review the cycle of making inferences in statistics
For more information on the concepts from today's workshop, check out these other Academic Resource Center links:
In our final week of the workshop, we'll learn how to do hypothesis testing and confidence intervals for proportions. We'll learn how to break down long equations for the proportion test statistic, margin of error, and sample size. Then, we'll discuss a new concept from module 8 of MAT-240: Paired and unpaired hypothesis testing. With the rest of the time we have left, we'll go over any questions you might have about the MAT-240 final project.
Below you'll find the equations for the proportion z test statistic, the margin of error, and the sample size.
Below you'll find an image that shows the difference between a paired and an unpaired hypothesis test of two means
For more information on the concepts from today's workshop, check out these other links:
YouTube Video: Paired vs Unpaired tests
Additional Tips:
Check out our other statistics group sessions including the MAT-133 Introduction to Statistics Workshop Series and the Statistics Office hours. For help with excel, stop by the Excel Office Hours. Take a look at the full workshop schedule to see all our offerings.
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