00:01
For this question, we have to find the confidence interval for the mean value.
00:05
Let me take notes what's given here.
00:07
There's a normal distribution for the mean and the standard division of the population was given here, which is denoted by sigma.
00:14
That was given as 10 in this question.
00:16
And also there's a sample of 49 children, so that means the sample size, which is given as 49.
00:22
And the mean of this 49 scores, that means the sample mean, which is denoted by this is x bar, that was given is 100 .000.
00:30
103 and 0 .52 and the confidence level was given here.
00:38
So the confidence level, which was given as 99%.
00:42
So remember the confidence interval for the mean, for mean, which has the formula.
00:48
This is x bar plus or minus the z value here.
00:52
Why we're going to use the z value because we know the population standard division and also the sample size is greater than 30.
00:58
So with both of them, i can just say we're going to use the z test here.
01:04
And times the population standard division divided by square of the sample size.
01:08
This is the formula we're going to find...