I really hope the attachment went through. I made it in Paint on my computer and while it is the worst Paint effort ever, I was just trying to give you an idea of what I am dealing with. In case the attachment does not go through, I will explain it anyway, hoping you can visualize it; if it does go through, I will explain anyway since it is the crudest of drawings.
I have a normal distribution diagram here, with 5 vertical lines left to right (instead of the standard normal distribution diagram with the single vertical line to mark the location of the mean). The five lines are marked, from left to right:
X1, X2, X3, X4, X5.
And, I am given percentages corresponding to each X, also from left to right, goes like this:
3%, 23%, 20%, 30%, 7%
The X's and the percentages, I could not include in my attachment.
The problem given to me is this: "For a normal population distribution with mean of 76 and standard deviation of 25, find the values of X1 through X5. I am told to draw a diagram for each caculation to illustrate the problem,and write the correct formula used in the calculation."
I am trying to figure out how to get started. I want to say that I should begin with finding the farthest left X, which is X1 which has the corresponding percentage of 3%. So I would go into my z-table and look for a z-score that corresponds to 3%, correct? I really don't want someone to do the whole thing for me, but I guess if the process of finding the value of all five X's is the same, maybe just walk me through getting one? (That is, if the process IS the same for each?) I hope this is not too much to ask. Actually I really hope that drawing I made in Paint works as an attachement here.