00:01
Alright, so in the given question, we have been asked to construct a 95 % confidence interval for the population mean.
00:08
Now, the size of the sample in this case, it is equal to 1 ,017.
00:13
The sample mean is 14 .2 and the sample standard deviation is 16 .6, right? now, the confidence level here is 95%.
00:23
So, alpha will be 1 minus 0 .95, that is 0 .05.
00:28
Now the critical value in this case, this will be equal to the value corresponding to 2a alpha by 2n minus 1, which is equal to t .025 and 1 ,016.
00:42
So this is equal to 1 .96, right? now, the formula to construct the confidence interval is sample mean plus minus critical value multiplied by standard deviation upon square root of sample size.
00:58
This is equal to 14 .2 plus minus 1 .96 multiplied by 16 .6 upon square root of 1 ,017...