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The article “Abyssal Peridotites > 3800 Ma from Southern
Chapter 2, Problem 17E(choose chapter or problem)
The article “Abyssal Peridotites > 3800 Ma from Southern West Greenland: Field Relationships, Petrography, Geochronology, Whole-Rock and Mineral Chemistry of Dunite and Harzburgite Inclusions in the Itsaq Gneiss Complex” (C. Friend, V. Bennett,and A. Nutman, Contrib Mineral Petrol, 2002:71–92) describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide \(\mathrm {(SiO_2)}\) content (in weight percent) in a randomly chosen rock has mean 40.25 and standard deviation 0.36.
a. Find the mean and standard deviation of the sample mean \(\mathrm {SiO_2}\) content in a random sample of 10 rocks.
b. How many rocks must be sampled so that the standard deviation of the sample mean \(\mathrm {SiO_2}\) content is 0.05?
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QUESTION:
The article “Abyssal Peridotites > 3800 Ma from Southern West Greenland: Field Relationships, Petrography, Geochronology, Whole-Rock and Mineral Chemistry of Dunite and Harzburgite Inclusions in the Itsaq Gneiss Complex” (C. Friend, V. Bennett,and A. Nutman, Contrib Mineral Petrol, 2002:71–92) describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide \(\mathrm {(SiO_2)}\) content (in weight percent) in a randomly chosen rock has mean 40.25 and standard deviation 0.36.
a. Find the mean and standard deviation of the sample mean \(\mathrm {SiO_2}\) content in a random sample of 10 rocks.
b. How many rocks must be sampled so that the standard deviation of the sample mean \(\mathrm {SiO_2}\) content is 0.05?
ANSWER:Step 1 of 3
Given, the silicon dioxide \(\left(\mathrm{SIO}_{2}\right)\) content (in weight percent) in a randomly chosen rock has mean 40.25 and standard deviation 0.36.
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