# TU Confidence Interval Questions

### Introduction

In this week’s problem of the week, you will apply your understanding of confidence intervals in statistics. If you have the data set you intend to use for your final project, use it this week. You may have found an appropriate set of data on the internet, or you may have completed your experimental or observational study. If not, continue to use the data set you used in Week 2. You should include confidence interval calculations in your final project presentation due in week 7.

### Activity Instructions

Showing your step-by-step work for each question based upon your data set:

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1. Give a description of the nature of data set
2. Determine the 90%, 95%, and 99% confidence intervals, assuming that sigma is unknown, listing each in proper (lower bound, upper bound) notation.
3. Which has the largest range?
4. Why do you think that is?
5. What would be the effect on the original 95% confidence interval if the sample size were increased by 10 data points?
6. How would the original 95% confidence interval be affected if the standard deviation were doubled?

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