00:01
So in this question we're going to be looking at a 95 % confidence interval, and we're looking at simple random sampling, and that means that we have to adjust the variance.
00:22
S squared, adjusted for the finite population size, is given by s squared times n minus n over n minus 1.
00:35
So the standard error is given by s root n minus n over n minus 1, and we divide by the square root of n as well when we do that.
00:50
Now for a 95 % confidence interval, we have that the critical z value, which is applicable in all of these cases because they all have large values of n, is z star is 1 .96.
01:14
So our margin of error is going to be given by 1 .96 s over root n root n minus n over n minus 1.
01:27
And our point estimate is in each case going to be given by x bar.
01:34
So that means that the lower is x bar minus the error and the upper is x bar plus the error.
01:44
So now in part a, we have big n is 1700, little n is 70, s is 9, x bar is 142...