00:01
Okay, so i see that you need help with this problem.
00:03
And so for the data, it is, i'm just missing one number, let's see, 45, and it wants you to create a 95 % confidence interval to estimate the population mean round to two decimal places.
00:26
So i'm just going to fix that to two decimal places.
00:33
And so the mean of the data set is 46, and the standard deviation of this data set is 5 .45.
00:47
And it's a 95 % confidence interval, and the amount of numbers in the sample is 13.
00:55
So what you have to first do is you have to calculate your t score.
01:03
So you're going to do 1 minus 0 .95, and that's 0 .05.
01:09
Then 1 minus 0 .05 divided by 2, and that is going to be 0 .975.
01:18
And so you have t, 0 .975.
01:21
Your degree of freedom is going to be 12.
01:25
And then that is going to equal 2 .18.
01:29
And so you have 46 plus or minus 2 .18 times your standard deviation of 5 .45 divided by the square root of 13.
01:45
So you have 46 plus or minus 2 .18 times 1 .51.
01:52
And so then you have 46 plus or minus 3 .29...