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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?



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Answer:

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

Step-by-step explanation:

┬а

As we know,

z = (x - ┬╡)/╧Г

x is the length of the beetle species.

┬╡ is the mean length

╧Г is the standard deviation

Substituting the given values in above equation, we get

┬а

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

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