Question

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....

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

Solutions

Expert Solution

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


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