In recent years, physical anthropologists have been trying to carbon-14 date the

Question

In recent years, physical anthropologists have been trying to carbon-14 date the remains of ancestors of the famous Homo heidelbergensis, found in Baden-Wurttemberg, Germany in 1907. They have determined that the remains are on average 700,000 years old. And the standard deviation of their measurements is 1200 years. (a) Consider one measurement from their data. If the z-score of this measurement is -6, compute numerical value of the data value. (b) If the z-score of a measurement from this data set is positive, then is that measurement larger than 700,000 years or smaller than 700,000 years? Explain your answer.

Explanation / Answer

We are given,

Mean = 700000

Standard deviation = 1200

Part a)

z = (x – Mean) / Standard deviation

x = Mean + (z * Standard deviation)

z = -6

x = 700000 – (6*1200)

= 692800

Answer: 692800

Part b)

If the z-score is positive then it will be larger than the mean value of 700000.

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