00:01
Let me take notes what values are given here.
00:03
So there are 100 hour loop periods, so the sample size here given as 100, and the result, which is the sample mean, that was given as 36, and the sample standard division, that was given as 7 here.
00:16
So the confidence level, which was given as 95%, so we can write that as 0 .95.
00:22
Let's get the margin of error first.
00:24
Because we know the sample standard division, we are going to use the t -distribution.
00:28
Let me write the formula.
00:30
The margin of error, which is equal to, this is t alpha over 2 times the sample standard division divided by the square root of sample size.
00:38
Let's get t alpha over 2.
00:41
So the alpha is 1 minus confidence level.
00:43
We need alpha over 2.
00:45
This is 1 minus 0 .95 divided by 2, which is 0 .25 here.
00:50
And also for the t -distribution, we need the degree of freedom, which is n minus 1.
00:54
This is 100 minus 1, which is equal to 99.
00:57
Let's get the t alpha over 2...