I have a problem that seems relatively easy but it has me stumped...

I need help with intervals on data. I thought tolerance intervals would work but they are not giving me what I want. I have a population of values-the entire population, and I have the mean, and standard deviation and I think the values are normally distributed. I know that every value falls between two numbers that I have set (for my first interval every number falls between 0 and 4.99 for example). I need to know the two values between which 95% of the population falls, as well as the upper number below which at least 95% of the population falls, and how to do this calculation and what it is called. When I try other types of interval calculations (ie tolerance) the upper value ends up being above 5 and the lower value below 0, which I know are not correct because NO value in my set falls above 4.99 or below 0. If anyone could give me any help or at least tell me what this type of calculation is called I would be incredibly grateful.

Thanks...