00:01
Given that, we have the sample data that is 62, 75, 75, 74, 67, 56, and the sample mean is 67 .25.
00:14
And the standard deviation is 7 .815.
00:18
And the sample size is 8.
00:20
So the standard deviation divided by the square root of n.
00:24
So basically, we have the standard error that is 2 .8, and our margin of error by, dividing the t alpha to two times the standard error.
00:35
So we have the margin error that is 6 .5.
00:41
And basically the confidence interval, as we can see here, is 6 .7 .25 plus 6 .5, which is 60 .7 and 73 .8.
00:54
So basically, that would also be the same for the interpretation.
00:59
So we are 95 % sure that the interval contains the true population mean.
01:05
And if a large number of samples are collected and the confidence interval is created for each sample, so 95 % of the intervals will contain the true population mean...