So I put in 15% in decimal form and I hit Compute! And there's my z-score. This field here will show me my z-score once I put in the corresponding percentile here, which is in this case 15%. I want to make sure that's to the left and it is. I want the area to the left, and that's the area that's shaded here, so I don't need to do anything with the inequality sign here. Those are the default values here in the calculator, so I don't need to make any adjustments there.
So here's my standard normal distribution the mean is zero, the standard deviation is one. The reason why I'm using the Normal calculator is because it says in the promise statement that our scores are normally distributed. And to do this, I'm going to go to Stat –> Calculators –> Normal. To do this, you can actually use a standard normal distribution table - or what I'm going to do is use StatCrunch to do this.
This is actually the z-score that corresponds with P15. Now the second part of this problem asks us to identify the bone density score.
