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Lesson Plan: Hypothesis Testing with Normal Distribution

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to test hypotheses of the mean of a normally distributed variable.


Students will be able to

  • understand what a hypothesis test is,
  • understand how to set up a hypothesis test to test a claim about the mean of a normal distribution using the mean of a sample,
  • determine the null and alternative hypotheses of the mean of a normal distribution using the mean of a sample,
  • determine whether the test is one- or two-tailed and calculate the critical region for the hypothesis test,
  • use the critical region to determine whether to accept or reject the null hypothesis,
  • solve real-life problems involving hypothesis testing of the mean of a sample from a population that is normally distributed.


Students should already be familiar with

  • the normal distribution, including
    • its properties,
    • finding probabilities, 𝑥-values, and unknown parameters,
    • standardizing,
    • approximating the binomial distribution using it,
  • sampling methods.


Students will not cover

  • the hypothesis testing for a sample variance,
  • the hypothesis testing involving other distributions,
  • finding critical regions using 𝑧-values from tables,
  • type 1 and type 2 errors.

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