00:01
Alright, so in the given question, we have been asked to construct the 95 % confidence interval for the mean of unit that students in the college are enrolled in.
00:10
Alright, so here, size of the sample is 47, sample mean is 12 .3 and sample standard deviation is 1 .9.
00:20
So since we don't know the population standard deviation, here we are going to use the t critical value.
00:25
Now, so a t critical value, it corresponds to the value of t alpha by 2 for the given degrees of freedom.
00:35
So here alpha is 0 .05, degrees of freedom is 47 minus 1, that is 46.
00:42
So this will be t .025 for the degrees of freedom 46 and this is equal to 2 .000.
00:51
Right? now the formula to compute the confidence interval, this is equal to...