2. Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is approximately normal wi

Question

2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?

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Thạch Thảo 5 years 2021-07-25T16:11:28+00:00 1 Answers 662 views 0

Answers ( )

  1. lethu
    0
    2021-07-25T16:12:45+00:00
    Reply

    Answer:

    119.2

    Step-by-step explanation:

    Given the following :

    Mean (m) = 100 years

    Standard deviation (sd) = 15 years

    closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

    distribution?

    Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

    Zscore = (X – mean) / standard deviation

    1.28 = (X – 100) / 15

    1.28 × 15 = X – 100

    19.2 = X – 100

    19.2 + 100 = X

    X = 119.2

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