Learning Outcomes
By the end of this section, you will be able to:
- Represent inequalities using interval notation
- Find the width of a bounded interval
- Find the midpoint of a bounded interval
- Distinguish between a population and a sample
- Distinguish between a parameter and a statistic
- Calculate the population mean, variance, and standard deviation
- Calculate the sample mean, variance, and standard deviation
In this module you will begin the study of inferential statistics. That is when information from a sample is used to draw inferences about a population. For example, if 48% of people in a random sample of voters support a proposal that will be on the ballot in an upcoming election, we expect that about 48% of people that vote on election day will support the proposal. But we don’t expect that exactly 48% of votes will be “yes.” Our estimate is likely to be off by a little. We often calculate an interval, or range of values, that is likely to capture the true percentage of voters that will cast a “yes” ballot. For this we need to use interval notation. We’ll also review some terminology and formulas you learned earlier: population parameters and sample statistics, and calculations for population and sample mean, variance and standard deviation.
Recall for success
Look for red boxes like this one throughout the text. They’ll show up just in time to give helpful reminders of the math you’ll need, right where you’ll need it.