The spectacled caiman is a crocodilian reptile that lives in Central and South America. Researchers
recorded the mass (in kilograms) of fourteen caimans. The mean mass is μ = 9.81 kg and the
standard deviation is a = 3.93 kg. Find the standardized score (z-score) for the caiman that has a
mass of 15 kg. Interpret this value in context.

Respuesta :

The standardized score, that is, the z-score of the caiman that has mass of 15kg is 1.32

Given in the question,

  Mean (µ) = 9.81kg

  Standard deviation = 3.93 kg

 Value = 15 kg

 The standardized score ( z-score) for an individual value in a distribution tells us how many standard deviations from the mean the value falls, and in what direction. To find the standardized score ( z -score), compute

                          z = (value – mean) /  standard deviation                     (1)  

Values larger than the mean have positive z -scores and values smaller than the mean have negative z -scores.

So putting the respective values in equation (1) , we get

   z = (15 – 9.81)/ 3.93

  z = 5.19/3.93

  z = 1.32

Hence caiman’s mass is 1.32 standard deviation greater than the mean caiman mass of 9.81kg

Learn more about standardized score here : https://brainly.com/question/23742231

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