Free · No account · Step-by-step learning

University of Calgary · Calgary · inference continuation

University of Calgary STAT217 — Introduction to Statistics II

Continue after STAT213 with original test decisions, confidence comparisons, independent-sample Welch calculations and chi-square counts.

32 original question families · 96 parameter instances

Practise this course →

Course alignment and coverage

Official public description checked on 25 October 2026. A catalogue description is not a complete current section or weekly syllabus.

Across this collection: 140 distinct original families and 420 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.

Supported learning objectives

  • Confidence intervals for a mean

    Calculate known-sigma z intervals; critical values are supplied.

  • Hypothesis tests for a mean

    Calculate a known-sigma z statistic, p-value decision or critical boundary.

  • Two independent means

    Compare independent means with known population standard deviations.

  • Proportions

    Estimate a proportion and calculate a standard error or z interval.

  • Correlation and regression

    Use a supplied least-squares line and interpret residuals and r².

  • One-sample and paired t

    Use sample SD for a one-sample or paired t statistic, degrees of freedom and a margin with supplied t critical value.

  • Chi-square counts

    Compute a simple goodness-of-fit statistic, an expected cell, table degrees of freedom and a decision from a supplied p-value.

  • Independent two-sample Welch inference

    Calculate unpooled SE, a Welch t statistic, fractional degrees of freedom and a CI endpoint using a supplied critical value.

What is not covered

Numerical foundations only. No statistical software labs, study-design assessment, graphs, bootstrapping/permutation simulation, ANOVA, multiple regression or regression inference. Critical values/table probabilities are supplied; normal-area exercises use rounded supplied tables. Welch examples are independent normal samples; paired t is a separate objective.

An original worked example

An independent sample from a normal population has n=100, known sigma=20. Use z*=1.96 for a 95% mean interval. Find its margin of error.

Worked solution

Answer: 3.92

  1. Margin=1.96*2.
  2. Margin=3.92. The sample mean is not needed for the margin.
Practise this course →

Official course sources

Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.