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An analytical chemist wanted to use electrolysis to determine the number of moles of cupric ions in a given volume of solution. The solution was partitioned into n = 30 portions of 0.2 milliliter each. Each of the n = 30 portions was tested. The average number of moles of cupric ions for the n = 30 portions was found to be 0.185 mole; the standard deviation was 0.015 mole. Calculate the following intervals: = ______________
= ______________
= ______________
Describe the distribution of the measurements for the n = 30 portions of the solution using Tchebysheff's Theorem.
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Describe the distribution of the measurements for the n = 30 portions of the solution using the Empirical Rule.
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Suppose the chemist had used only n = 5 portions of the solution for the experiment and obtained the readings 0.18, 0.21, 0.20, 0.22, and 0.18. Would the Empirical Rule be suitable for describing the n = 5 measurements?
______________
Explain.
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