00:01
So for the part a, we are actually finding the mean of x -bar.
00:06
So we are going to get expectation of x -va, which is the same as the mean.
00:11
So it's the same as the mean given in the question, which is 200.
00:15
When you come to the part b, you're actually find the standard deviation of x -war.
00:21
So we know that standard division of x -by is given by the standard deviation of x divided by the rate of n.
00:29
So we get 50 divided by 100, which gives us 5.
00:36
For the part c, according to the central limit, you're using 10 is equal to 100, is at least 10.
00:44
The distribution of sample means would be approximately normal, so xbore would be normal, rather than a mean of 200 and a standard division of 5.
00:57
When you come to the part d, if repeated samples of size 100 is taken from the given population, then 68 % of sample means will lie between 195 and 205...