Question

Identify the z-score corresponding to the indicated percentile. For the standard normal curve, identify the z-score that corresponds to the 80th percentile. 

• 0.7881 

• 1.40 

• 0.84 

• 0.5793 

• 0.2119

Answer 1

Solution:

For 80th percentile,

P( Z< z) = 0.80

Use z table or z calculator, search for 0.80 probability in z table and see corresponding z value.

$\therefore$ P(Z < 0.84) = 0.80 .....approximately

( In table P(Z < 0.84) = 0.7995 nearly 0.80)

so, z = 0.84

so, required z score is 0.84