In: Statistics and Probability
1. What is the percentile for a z-score of 1.2?
A. 88.49th
B. 38.49th
C.11.51st
2. 70th percentile test score would have what z-score?
A. Between 1.12 and 1.13
B. Between 0.43 and 0.44
C.Between 0.52 and 0.53
D. Between -0.52 and -0.53
1) A. 88.49th
2) C.Between 0.52 and 0.53
Explanation:
1)
we want to find percentile for z score of 1.2
now look into normal z table to get the area for 1.2 we get,
= 0.8849
convert it to percentage by multiplying it with 100
= 88.49%
Hence, we get percentile as
Percentile = 88.49%
2)
now we want to find the z-score for 70 th percentile
look into normal z table value equal to 0.70 and find z-score related to it
we get
Z-Score lies between 0.52 and 0.53