UW-Madison · STAT301 · Introduction to Statistical Methods

STAT301: pass the exams, not just read the notes

Your complete guide to University of Wisconsin-Madison's introduction to statistical methods course. See where the marks are, work real practice questions, and study with an AI tutor that knows STAT301.

3 credit points Intermediate undergrad Offered Fall 2026 ~90% exams Department of Statistics

Sia generates STAT301 practice questions, walks through design of experiments and histograms step by step, and quizzes you on the material the exam weights most heavily.

Try a real exam-style question

Worked example

Multiple choice · solution revealed after you answer

A simple random sample of 400 households finds 30% own a bicycle. What is the approximate 95% confidence interval for the population percentage?

Worked solution

Box model: tickets marked 1 (bicycle, 30%) and 0 (70%); the SD of the box is the square root of 0.3 times 0.7, about 0.46.

The SE for the sample percentage is the box SD divided by the square root of 400, so 0.46 / 20, about 2.3 percentage points.
A 95% confidence interval uses about two SEs: 30% plus or minus 4.6 points, roughly 25.4% to 34.6%.
Option B stops at one SE; option D is wrong because for a large population the SE depends on the sample size, not the population size.

The trap: Using one SE for a 95% interval. The normal curve puts 95% within about two SEs of the mean. classic slip!

your whole grade
Where your grade comes from Exams 90% · Coursework 10%

One exam decides 40% of your grade. In person. This whole page is built around that.

Overview

What STAT301 is, and where it sits

STAT 301 Introduction to Statistical Methods is UW-Madison's statistics gateway for students who want the ideas without heavy mathematics. In Fall 2026 it is taught in person by John Gillett with two teaching assistants, following the Freedman, Pisani and Purves text chapter by chapter with fill-in-the-blank notes completed in lecture.

The course runs from distributions, averages and the normal curve through correlation and regression, probability and chance variability, then sampling distributions, confidence intervals and hypothesis tests for means, paired data and chi-squared, finishing with simple linear regression and the pitfalls of observational data.

The 400 points are 10% homework, 25% for each of two in-class midterms and 40% for a two-hour final on 12 December 2026. Exams are closed book with a calculator and a growing allowance of note pages: one for Exam 1, two for Exam 2, three for the final. The grade is the higher of a fixed percentage scale and a percentile scale.

How it differs from its first-year siblings. Ninety percent of the grade is three exams, but the exams are built from the homework exercises and the note pages you are allowed to bring grow each time. The course rewards keeping a clean, cumulative set of notes rather than cramming.

Always treat your own course outline and the exam timetable as authoritative.

Difficulty & time commitment

Is STAT301 hard, and how much time does it take?

STAT301 is manageable if you keep a weekly rhythm and treat the back half as the main event. The pattern is consistent: it starts gently and steepens, and the heaviest assessment is the part that separates grades.

Difficulty
2.9 / 5
Moderate. Gentle early, demanding back half. Hard to fail with steady work; a top grade takes consistent practice.
Exam load
90%
The exams decide most of the grade. The heaviest single component is 40%.
Weekly time
~8 hrs
Around 8 hours per week including class, across lectures, study and assessment.
Descriptive statistics and the normal curvesteady
Correlation, regression and probabilityrising
Sampling, confidence intervals and testssteep

The difficulty curve and the assessment weighting point the same way: the back half is harder and worth more. Front-loading effort there is the highest-return decision in the course.

Is this course for you

Who tends to do well, and who tends to struggle

You will likely do well if

  • You want statistical reasoning without calculus or programming.
  • You keep up with weekly textbook homework; the exams are drawn from it.
  • You build a cumulative note sheet and refine it before each exam.
  • You are comfortable reading tables and doing arithmetic by calculator.

You may struggle if

  • You skip homework because it is only 10%; it is the exam preparation.
  • You leave the note pages to the night before the exam.
  • You want software-based data analysis; that is STAT 240 or 371.
  • You miss an exam without a documented reason; there are no make-ups.
do this ↘
What top students do differently
  • Rewrite the box-model reasoning in your own words; most exam questions are word problems, not formulas.
  • Practise the normal table until standard units are automatic.
  • For every test question, state the null, the test statistic and the conclusion in a sentence.
  • Use the Learning Center practice sessions run by the TA.

Syllabus

The 9 topics, chapter block by chapter block

The exam-weight marker on each topic shows where the marks concentrate. The amber topics carry the highest exam weight.

1

T1 · Design of experiments and observational studies

FPP Chapters 1-2

Controlled experiments, confounding, historical controls.

2

T2 · Histograms, averages and the standard deviation

FPP Chapters 3-5

Describing a distribution and reading a histogram.

3

T3 · The normal approximation

FPP Chapter 5

Standard units, the normal table and percentiles.

4

T4 · Correlation and regression

FPP Chapters 8-12

The correlation coefficient, the regression line, the regression effect and residuals.

5

T5 · Probability and chance variability

FPP Chapters 13-17

Rules of probability, the binomial formula, the law of averages.

6

T6 · Sampling and the box model

FPP Chapters 19-21

Sample surveys, chance errors in sampling, the expected value and standard error of a sum.

High exam weightQuiz me on sampling →
7

T7 · Confidence intervals and the accuracy of averages

FPP Chapters 21-23

Estimating a percentage or an average with a standard error.

8

T8 · Tests of significance

FPP Chapters 26-27

The z test and t test, one and two samples, paired data.

9

T9 · The chi-squared test

FPP Chapter 28

Goodness of fit and independence in two-way tables.

How it's assessed

Assessment structure

ComponentWeightFormat & timing
Homework (about 11 exercise sets from the textbook, drop lowest)10%About eleven exercise sets from the Freedman, Pisani and Purves text, 4 points each; lowest score dropped. Roughly weekly. Submitted in Canvas.
Midterm Exam 1 (in class, Tuesday 6 October 2026)25%In-class, closed book; calculator and one 8.5x11 note page (both sides). Tuesday 6 October 2026. No make-up except a documented serious problem.
Midterm Exam 2 (in class, Tuesday 10 November 2026)25%In-class, closed book; two note pages allowed. Tuesday 10 November 2026. Same make-up rule.
Final Exam (Saturday 12 December 2026, 12:25-2:25pm)40%Two-hour final; three note pages allowed. Saturday 12 December 2026, 12:25-2:25pm. In person.
Homework (about 11 exercise sets from the textbook, drop lowest)10%
About eleven exercise sets from the Freedman, Pisani and Purves text, 4 points each; lowest score dropped.
Midterm Exam 1 (in class, Tuesday 6 October 2026)25%
In-class, closed book; calculator and one 8.5x11 note page (both sides).
Midterm Exam 2 (in class, Tuesday 10 November 2026)25%
In-class, closed book; two note pages allowed.
Final Exam (Saturday 12 December 2026, 12:25-2:25pm)40%
Two-hour final; three note pages allowed.
  • The four components sum to 100 and there is no separate hurdle. Your letter grade is the higher of the percentage scale (A 92+, AB 88, B 82, BC 78, C 70, D 60) and the percentile scale (A for the top 25%, AB top 35%, B top 55%).
  • Two 75-minute in-class midterms (6 October and 10 November 2026) and a two-hour final (12 December 2026). All closed book with a calculator; note pages allowed are one, two and three sheets respectively, written on both sides.
read this! If you read nothing else

This is an exam-cram course. With the exams at 90% of the grade and the final exam (saturday 12 december 2026, 12:25-2:25pm) alone at 40%, your result is overwhelmingly decided by how well you perform under time pressure. In person.

Final exam timing: During the examination period. Confirm the exact date and venue on your exam timetable.

How to actually pass it

A weekly rhythm, two checklists, and the traps to avoid

The course rewards consistency over cramming, and practice over re-reading. Here is the loop that works, then what to have nailed before each exam.

The weekly loop

Before lecture
Skim the assigned FPP chapter.
Lecture
Complete the fill-in-the-blank notes as the instructor works through them.
Midweek
Do the homework exercises without looking at solutions first.
Weekly
Add the week's key ideas to your running note sheet.

Before the mid-semester checklist

  • Compute and interpret an average, SD and percentile with the normal curve.
  • Explain confounding and the difference between an experiment and an observational study.
  • Fit and interpret a regression line and explain the regression effect.
  • Apply the binomial formula and basic probability rules.

Before the final heaviest topics

  • Set up a box model for a sample and compute expected value and standard error.
  • Build and interpret a confidence interval for a percentage or an average.
  • Run one-sample, two-sample and paired tests and read off a P-value.
  • Perform a chi-squared test for a two-way table.

The mistakes that cost marks

01

Confusing SD and SE. The SD describes the spread of the data; the SE describes the chance error of an estimate. Exams test the distinction.

02

Treating a P-value as a probability that the null is true. It is the chance of data this extreme if the null were true.

03

Reading correlation as cause. A stated learning outcome is spotting the pitfalls of observational studies.

Teaching team

Who teaches STAT301

The bios below are factual. We do not rate lecturers; any star ratings are submitted by students who have taken STAT301.

Teaching Faculty (Instructor)

John Gillett

Student ratingNo student ratings yet
Teaching Assistant

Wrene Every

Student ratingNo student ratings yet
Teaching Assistant

Shiyi Zhang

Student ratingNo student ratings yet

Teaching team as listed in the course materials reviewed. AskSia does not rate lecturers; star ratings are submitted by students who have taken STAT301.

Formula & concept sheet

The vocabulary and formulas you must own

Standard deviation
The root mean square deviation from the average.
Standard units
How many SDs a value is above or below the average.
Correlation coefficient
A measure of linear association between -1 and 1.
Regression line
The line predicting y from x: rise of r SDs of y per SD of x.
Box model
A model of chance draws from a box of tickets.
Standard error
The likely size of the chance error in an estimate.
Confidence interval
Estimate plus or minus a multiple of the SE.
P-value
The chance of a test statistic at least this extreme if the null is true.
Chi-squared statistic
Sum of (observed minus expected) squared over expected.

Set texts

The prescribed reading

The syllabus references map straight onto these.

Statistics

.

Where it fits

Prerequisites, related courses & why it matters

Requires the Quantitative Reasoning A requirement. Not open to students with credit for STAT 302, 324 or 371. 3 credits; two 75-minute lectures per week.

Why it matters beyond the grade. Reading a survey result, a confidence interval or a regression claim critically is the everyday skill of analyst, marketing and policy roles; the course is built around exactly that reasoning.

FAQ

Frequently asked questions

Is STAT 301 hard?

Moderate on the six-factor rubric. The mathematics is algebra-level, but 90% of the grade sits in three exams, so consistent homework matters more than in most courses.

What is the assessment breakdown?

Homework 10%, Midterm 1 25%, Midterm 2 25%, Final 40%, per the instructor's Fall 2026 course page.

Who teaches it?

John Gillett (Teaching Faculty) in Fall 2026, with teaching assistants Wrene Every and Shiyi Zhang.

Can I bring notes to the exams?

Yes. One 8.5x11 page for Exam 1, two for Exam 2 and three for the final, both sides, plus a calculator. Textbooks are not allowed.

Do I need a computer or R?

No. A scientific calculator is all that is required for exams and homework.

STAT 301 or STAT 371 or 324?

301 is the least mathematical route and satisfies QR-B; 371 targets life-science students and uses R; 324 is calculus-based for engineering. You cannot get credit for more than one.

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