Final Exam — Instructions
Overview
This is the scored final exam for the course. It is cumulative: it draws on all eight course objectives, from where data come from in Week 1 to regression in Week 15. It is given in Week 16, the finals week, which has no new material.
The exam has 40 questions, and every question counts equally. Most are multiple choice with one best answer. Three are true/false, three ask you to pick out all the statements that apply, and two ask you to type a short number. Most questions are of medium difficulty, with some easier and some harder ones on either side. Every question rehearses a skill you already practiced in the weekly quizzes, the practice exercises, and the paired practice final.
Coverage and scope
The final covers the whole course. The questions are drawn from a bank built on the skills of Weeks 5–7 and 9–15: probability, random variables, and the binomial; the normal model and sampling distributions; confidence intervals; hypothesis tests; and regression. The Week 1–4 ideas and the Week 8 z-score come back inside those questions. A question about an interval may turn on whether a group is a sample or a population, and a question about a regression slope may turn on association versus causation.
The course blueprint weights the eight objectives like this:
| Objective | What the questions ask you to do | Weeks | Blueprint share |
|---|---|---|---|
| Objective 1 (distinguish populations from samples and parameters from statistics, classify variables by type and level of measurement, and identify appropriate sampling methods and study designs, including what each can and cannot conclude) | Tell a sample from a population and a statistic from a parameter; judge how data were collected | 1, revisited in 10 and 12 | about 10% |
| Objective 2 (summarize and display a single quantitative or categorical variable with appropriate tables and graphs, and describe its distribution's shape, center, and spread with the right numerical summaries) | Describe one variable's shape, center, and spread | 2, 3, 8 | about 10% |
| Objective 3 (describe the relationship between two variables using scatterplots, the correlation coefficient, and two-way tables, and explain why association alone does not establish causation) | Describe two variables and keep association apart from causation | 4, revisited in 15 | about 10% |
| Objective 4 (apply the basic rules of probability, including conditional probability and independence, and compute and interpret the expected value and standard deviation of a discrete random variable, including binomial settings) | Apply the probability rules, expected value, and the binomial model | 5, 6, 7 | about 10% |
| Objective 5 (use the normal model and sampling distributions, including the Central Limit Theorem, to reason about variability in individual values and in sample statistics) | Use the normal model and sampling distributions, including the CLT (Central Limit Theorem) | 7, 9, 10 | about 15% |
| Objective 6 (construct and correctly interpret confidence intervals for a population mean and a population proportion, including the meaning of the confidence level and the margin of error) | Build and interpret confidence intervals for a mean and a proportion | 11, 12 | about 15% |
| Objective 7 (carry out and correctly interpret hypothesis tests for means and proportions, including one- and two-sample settings, p-values, significance levels, and Type I and Type II errors) | Carry out and interpret hypothesis tests, including Type I and Type II errors | 13, 14 | about 20% |
| Objective 8 (fit and interpret a simple linear regression model, assess its fit with r-squared and residuals, and carry out inference for the slope) | Fit and interpret a regression line and carry out inference for the slope | 15 | about 10% |
Inference in Weeks 11–14 carries the most weight, so put the most review there. Because the questions are drawn from a bank, the share on any one objective can differ from this plan; inference and the normal model carry most of the exam either way. These notes map the skills the exam assesses. The questions themselves are drawn fresh from the bank and are not listed here.
Instructions
- Attempts: one. The final is a single scored attempt.
- Time limit: none. There is no time limit, so take the time you need while the exam is open.
- Window: the exam opens in Week 16. Your instructor sets the open and close times in Canvas, and the exam locks when it closes.
- Navigation: the questions appear one at a time, and you cannot go back to an earlier question once you move on. Settle each question before you continue.
- Order: the answer choices are shuffled for each student.
- Materials: a calculator helps with the arithmetic. Your instructor will tell you which other materials, if any, are allowed. AI tools are not permitted.
- After you submit: your score is recorded. The keyed answers are not shown, because the questions come from a bank shared with other course assessments.
Academic integrity
This is an individual, scored assessment, and the work must be your own. That means no help from another person, no shared or posted questions or answers, and no AI tools of any kind. The final confirms that you personally understand the concepts, notation, procedures, and interpretations of the course.
The honest way to prepare is the rest of the final's bundle: the study guide, the exam-prep tutorial, and the practice final. They rehearse the same skills with fresh variants, and nothing in them appears on this exam.
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