00:01
We have been given some sample data.
00:02
The sample size n is 388.
00:05
The sample mean x bar is 1 .8, with a sample standard deviation s of 0 .6.
00:12
We want the margin of error and then a 95 % confidence interval for the population mean.
00:18
The formula for this has x bar, the point estimate, plus and minus the margin of error, ts over root n.
00:26
T is the critical value here.
00:28
It's applicable if sigma, the population standard deviation, is unknown.
00:33
Honestly, we tend to use z, the other critical value, if the sample size gets large enough, but it depends on your course and it looks like for your margin of error you use t here, so i will also use t.
00:46
To find t we need three pieces of information.
00:50
First, we need to know it is two -tailed.
00:53
Our confidence interval is going to have two bounds and then tails beyond those.
00:57
Alpha is one minus for confidence, so we want 95 % confidence, making alpha 5%.
01:03
And degrees of freedom is n minus one, so that's 387...