Answer:
16.35
Step-by-step explanation:
Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.
First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.
Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get
[tex]\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348[/tex]
Rounding, we get x = 16.35 as our answer
