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Interactive engagement (clicker) questions: Confidence intervals for means

Sample Question


A news article reported the following: “The poll of 500 Canadians using random-digit dialling of both mobile phones and land lines gave a mean expenditure on holiday shopping of 652 dollars. The numbers are considered...”

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Prerequisite knowledge

Students should:

  • 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

  • Construct confidence intervals given relevant sample data
  • Interpret a confidence interval and confidence level
  • Identify features that determine the width of a confidence interval
  • Recall the assumptions for construction of a confidence interval

Suggested use(s) and tips

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

About this resource

Funding: University of British Columbia
Project Leader: Eugenia Yu
Thanks To: Nancy Heckman, Bruce Dunham, Melissa Lee, Gaitri Yapa, Mike Whitlock, Fred Cutler, Diana Whistler, Andrew Owen, Mike Marin, Leslie Burkholder, Doug Bonn, the UBC Flex Stats initiative for numerous suggestions and improvements.

Tags

Topics:
• Confidence intervals – One sample mean – t
• Confidence intervals – One sample mean – z
• Confidence intervals – Concepts – Sample size
• Confidence intervals – Concepts – Standard error

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