High School

Green sea turtles have normally distributed weights measured in kilograms with a mean of 134.5 and a variance of 49.0. A particular green sea turtle's weight has a Z-score of -2.4. What is the weight of this green sea turtle? Round to the nearest whole number.

A. 17 kg
B. 151 kg
C. 118 kg
D. 252 kg

Answer :

Final answer:

The weight of the green sea turtle with a Z-score of -2.4 is approximately c. 118 kg.

Explanation:

To find the weight of the green sea turtle, we need to use the Z-score formula.

The formula is Z = (X - μ) / σ,

where Z is the Z-score, X is the value, μ is the mean, and σ is the standard deviation.

In this case, we are given the Z-score as -2.4, the mean as 134.5, and the variance as 49.0.

To find the weight, we can rearrange the formula as X = Z * σ + μ.

Plugging in the given values, we get X = -2.4 * sqrt(49.0) + 134.5.

Solving this equation gives us X ≈ 118 kg.

Therefore, the weight of this particular green sea turtle is approximately 118 kg.

Learn more about Z-score here:

https://brainly.com/question/31613365

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