Question

The number 0.6064 represents the area under the standard normal curve below a particular z-score. What is the Z-score? Can you please show me how this question works and to express the answer as a decimal to the nearest hundredth. Thanks

Answer 1

`z=0.27`

Explanation:

Let x represent the z-score.

We have been given that the The number 0.6064 represents the area under the standard normal curve below a particular z-score.

Since the area under normal distribution curve that corresponds to our z-score is 0.6064, so we can set an equation as:

`P(z<x)=0.6064`

From normal distribution table we get,

`P(z<0.27)=0.6064`

Since the area 0.6064 under normal distribution corresponds to z-score of 0.27, therefore, our z-score s 0.27.

Answer 2

p(z < x) = 0.6064 - 0.5 = 0.1064

From the normal distribution table
P(z < 0.27) = 0.1064

Therefore the z-score is 0.27