(Content Note: A recent study on race and Covid is referenced in this video.)

Check-In 1: Confidence Intervals

Educators in California are concerned that high school students do not get enough sleep. They collect data about 300 students, and calculate a 99% confidence interval for the average hours of sleep a night to be \((7.0, 7.5)\).

Which of the following is a correct interpretation of the confidence interval?

99% of all high school students get between 7 and 7.5 hours of sleep per night.

99% of the 300 students surveyed got between 7 and 7.5 hours of sleep per night.

We are 99% confident that the 300 students surveyed got between 7 and 7.5 hours of sleep on average per night.

We are 99% confident that California students get between 7 and 7.5 hours of sleep on average per night.

There is a 99% probability of a student getting between 7 and 7.5 hours of sleep.

There is a 99% probability that the true mean hours of sleep of California students is between 7 and 7.5 hours of sleep.

You don’t need to carefully read every word in this chapter, but please look over it. In particular, you’ll find some shortcuts from the infer package that make the bootstrapping process even easier and cleaner!

The term “bootstrap” comes from the phrase “pull yourself up by your bootstraps!” meaning, essentially, that you should take responsibility for your own life improvement.