# 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.

#### Objectives

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.

#### Prerequisites

Students should already be familiar with

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

#### Exclusions

Students will not cover

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