Answer to Question #337877 in Statistics and Probability for sam

Question

In a given normal distribution, the population mean is 80 and the population standard deviation is 2.5. Find the corresponding z-score of the following values:

15. 84

Answer 1

a)

$$Z=\dfrac{15-80}{2.5}=-26$$

b)

$$Z=\dfrac{84-80}{2.5}=1.6$$

c)

$$Z=\dfrac{15.84-80}{2.5}=-25.664$$