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3 September, 04:39

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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  1. 3 September, 07:48
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    Answer: the z score is 2.4

    Step-by-step explanation:

    Since the lengths of the certain species of beetles are normally distributed, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = length of the beetle species.

    µ = mean length

    σ = standard deviation

    From the information given,

    µ = 1.9 centimeters

    σ = 0.2 centimeters

    For a species with a length of 2.38 centimeters, the z score is

    z = (2.38 - 1.9) / 0.2

    z = 0.48/0.2

    z = 2.4
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