00:01
In this question, we have been asked to construct the 99 % confidence interval for the population mean based on the given information.
00:08
So, here the sample size will be equals to 12 and the value of sample mean will be here equals to sum of all the values divided by n and that is here going to be we can say 910 .75.
00:23
And now, solving this very problem, the value of s can be here equals to we can say under root of it will be here we can say summation.
00:32
Now here it is i is equals to 1 and then it will be here n.
00:36
Now, it is here xi minus x bar raised to the power 2 divided by it will be here n minus 1 and this is here equals to we can say that this very value will give us the answer as 305 .65 that is this is the value of sample standard deviation.
00:56
Now, our aim is to construct the 99 % confidence interval.
01:00
So, confidence level can be written as 0 .99.
01:03
So, the value of alpha will be here equals to 0 .01 and hence we can say that the value of t alpha divided by 2 comma degrees of freedom where degrees of freedom is n minus 1...