00:01
There are 250 dogs and a dog show that we an average of 12 pounds with the standard deviation of 8 pounds.
00:12
If 4 dogs are chosen at random what is the probability that the average weight is greater than 8 pounds.
00:22
So now basically what you want to calculate is p of x bar that is greater than 8.
00:34
So this is basically the representation for the calculation of the probability that the average weight is greater than 8 pounds.
00:45
So now what it is given is there is mean which is given to us which is represented by mu which is 12.
00:59
Now we are given with sigma that is a standard deviation which is 8 pounds.
01:08
Now x bar is given to us which is equal to 8.
01:12
Now n is given to us which is 4 because 4 number of 4 dogs are chosen at random.
01:22
So what is the formula we will use it to find the z score.
01:36
It is a normal distribution problem.
01:40
So in the normal distribution problem we need to find out the z score.
01:44
Then we will check from the z table and find the correct probability like the value.
01:52
So now what is z? z is equal to x bar minus mu upon sigma x bar.
02:02
So how you can rewrite it? x bar minus mu whole divided by what? it should be divided by sigma by root n.
02:16
This is very important formula you must remember.
02:21
So now this is basically the key concept of this problem.
02:27
We need to understand and remember this formula as well.
02:31
So now what happens is we will just put all the relevant values here...