Question

(a) Find z such that the proportion of observations that are less than z in a standard normal distribution is 0.24. (Enter your answer rounded to two decimal places.)
(b) Find z such that 24% of all observations from a standard normal distribution are greater than z. (Enter your answer rounded to two decimal places.)

Answer 1

The values of the z score are mathematically given as is mathematically given as

• z= 0.67449
• Z = 0.67

What is the value of z?

When p0.25, the following categories of z-score values may be determined:

- P(Z<z) = 0.25

from table we get

z= 0.67449

z-score= -0.67

b) In this Z 25%. observation are greater than z, then 75% will be less than z, then 75% will be less than z

P(Z<z)=0.75

From table we get

P(z<z) = 0.757

Z = 0.67

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