Question

The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?



Enter your answer in the box.


Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

 

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

 

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4