Measurements in the lab. Juan makes a measurement in a chemistry laboratoryand records

Chapter 0, Problem 11.8

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Measurements in the lab. Juan makes a measurement in a chemistry laboratoryand records the result in his lab report. The standard deviation of students labmeasurements is = 10 milligrams. Juan repeats the measurement 3 times andrecords the mean x of his 3 measurements.(a) What is the standard deviation of Juans mean result? (That is, if Juan kept onmaking 3 measurements and averaging them, what would be the standarddeviation of all his x s?)(b) How many times must Juan repeat the measurement to reduce the standarddeviation of x to 5? Explain to someone who knows no statistics the advantage ofreporting the average of several measurements rather than the result of a singlemeasurement.

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