 Hi folks. I just wanted to take a minute to try to help Christina on her problem with the Z scores and Brandon has outlined in detail how you do it manually and using the tables or XL. I know some of you are tired of me suggesting using StatCrunch but it is such an easy easy tool to use and you have access to it. Let me just show you how we do this. I'm going to bring up StatCrunch. I want to make it a little bit smaller so we can see it here. And let's just say that the answer is as Brian, Brandon, I'm sorry, suggested that the area between is 86 percent. So how do we find that? Well in StatCrunch we go to StatCalculatorsNormal and the beautiful thing about StatCrunch is it draws our curve force. This is the standard normal curve and that's what you need in order to get Z scores. This is a between problem according to the wording of Christina and so we get our our rough curve and it shows the area between initially minus 1 Z and plus 1 Z and that's 68 percent. We know our area is 0.86 percent so we click on compute and as Brandon said we know it's symmetrical so the 86 percent of the area under the standard normal curve lies between negative 1.476 Z and positive 1.476 Z and as he said that is the 7 percent. Let me I'm going to go back to standard for a second and let's put 0.07 in there and compute and here we see the left side of the standard normal curve as Brandon described it. The Z scores when you go under the tables and the calculators it gives you the area on the curve from left infinity to the point in question. In this case again it's our 1.476 Z and that's 7 percent that way. If we look on the right side and put in 0.07 again you see there is the 7 percent that is distributed on the upper side or the right side of the standard normal curve. So I hope this helps. Again everybody has access to stat crunch and it doesn't take long to learn to use it. These calculators make quick work of finding Z scores and critical values as Z and critical values of T so don't hesitate to use it.