00:06
In this problem, we're being asked to construct a confidence interval and find the margin of error based on a word problem.
00:14
Now, just to recap as to how to find the confidence interval, using a t distribution, the first thing we need to do is to find the tc value.
00:25
And once we do that, you can use that to find the margin of error, which finally we can use to find the confidence interval.
00:40
Now, the first step we need to take is to extract all of the information.
00:44
Out of this problem.
00:46
And it's a word problem, so that can often be intimidating, but let's walk through it.
00:52
So driving distance.
00:53
In the first sentence, we see in a random sample of five people, so there you go, we know n, the sample size, is five.
01:00
The next line is the mean driving distance to work was 22 .2 miles.
01:05
So you see the word mean, and we know it's 22 .2 miles.
01:13
And the standard deviation was 5 .8 miles...