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University of Alberta · Edmonton · Introduction to Applied Statistics I

STAT151 Applied statistics foundations

Work on data summaries, probability, sampling, inference and the introductory regression topics in STAT151. The practice bank keeps sample and population assumptions visible.

40 original question families · 120 parameter instances

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Course alignment and coverage

Aligned to the current official course catalogue, checked 25 October 2026. The public syllabus archive lists Winter 2018 files only; these are not represented as a current section outline.

The four pathways share topic families. Across the whole pilot there are 80 distinct families and 240 parameter instances, presented in English and French; translations and shared course mappings are not extra questions.

Supported learning objectives

  • Descriptive statistics

    Calculate means, medians and weighted summaries.

  • Variance and standard deviation

    Distinguish sample and population denominators and scale changes.

  • Probability

    Use complements, independence and conditional probability.

  • Distributions

    Use binomial and normal models under stated assumptions.

  • Sampling and standard error

    Calculate standard errors and sample-size effects.

  • 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.

What this pilot does not cover

This pilot is not the whole course. Goodness-of-fit tests, contingency tables, t procedures, software/lab work, data-collection design and full distribution inference are not covered.

An original worked example

Find the mean of 2, 4, 6, 8.

Worked solution

Answer: 5

  1. The total is 20.
  2. Mean=20/4=5.
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Official course sources

Original independent self-study only. This is not a university service, an official exam, an assignment-solving service or a prediction of your course grade. Follow your instructor’s rules. No live language model is used.