# Sampling distributions of the mean

(0)This file contains a collection of clicker questions that target concepts on sampling distribution of the mean.

### Prerequisite Knowledge

- be able to recognize probability models as distributions with shape, centre, and spread
- be able to recall key properties of the Normal model
- be able to distinguish between a population and a sample, and between parameters and statistics

### Learning Objectives

- Identify the population, sample, parameters and statistics in a given scenario
- Recall the sampling distribution of the mean of a sample from a Normal distribution
- Describe properties of the sampling distribution of the sample mean in general situations, using the Central Limit Theorem
- For the sample mean, explain whether and how the population distribution and the sample size influence the sampling distribution of the sample mean
- Apply the Central Limit Theorem to problems involving averages of variables from arbitrary distributions

### Description

These clicker questions target concepts on the sampling distribution of the mean. They also address common misconceptions (e.g., confusion between the distribution of data from a random sample and the sampling distribution of the mean, misapplication of Central Limit Theorem in describing the shape of the distribution of data from a random sample).

### Suggested Uses, Tips and Discoveries

These resources are intended to be used in a number of ways:

- as stand-alone clicker questions during lectures;
- as assessment questions during and outside of class (e.g., pre-lecture quiz after students complete pre-lecture reading or other assigned tasks);
- as questions to be adapted for use in guided in-class activities or other instructor-supplied material

#### Creator

- Yu, Eugenia

#### Subject

#### Resource Type

##### Date Created

2017

##### Date Approved

##### Access

Everyone

This resource is licensed under
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)

Please use this identifier to cite or link to this resource:

`https://statspace.elearning.ubc.ca/handle/123456789/117`

## Comments

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