00:01
For this question, they are given 15 numbers and the sample mean and the standard division was not given.
00:07
So we're going to find these values.
00:09
So first of all, let's say the sample mean, which is denoted by x bar, this is equal to the sum of the values divided by the sample space.
00:20
This is the x bar.
00:22
So we have the values.
00:23
This is 8 .19 and then 8 .20 up to the last point, which is 8 .34.
00:30
And this is divided by the total number of number here, which is 15.
00:36
So the mean would be this is 8 point, which is 24.
00:42
Great.
00:43
So this is the mean.
00:44
And what about for the sample standard deviation? so for sample standard division, which is denoted by s, it has the formula.
00:53
This is the sum of xi minus x bar squared.
00:56
Since it's a sample, i'm going to divide by n minus 1.
00:58
So the sample standard division, which is 8 .19 minus this is 8 .24, which is the mean value, and take the square.
01:06
Up to the last one, 8 .34 minus 8 .24 and take the square.
01:12
And this is divided by, there are 15 numbers here, so that would be 15 minus 1.
01:18
So in this case, the sum of squares here, which is 0 .01, so this is 0 .01, and then 784, and this is divided by 14.
01:29
So the standard deviation, this is squared of 0 .01 -784, this is divided by 14.
01:37
So the answer is 0 .03.
01:40
So this is 0 .03, let's say this is 36 .36.
01:47
This is the standard division that we have for this sample.
01:50
So the next step, what we have to do.
01:53
And there's also given the significance level here...