My o 6r9 points I Previous Answers Baldistar3 13.E.006. Juan makes a measurement

Question

My o 6r9 points I Previous Answers Baldistar3 13.E.006. Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The standard deviation of lab measurements made by students is 36 milligrams- Juan repeats the measurement 3 times and records the mean x of his 3 measurements. (a) What is the standard deviation of Juan's mean result? (That is, if Juan kept on making 3 measurements and averaging them, what would be the standard deviation of all his x's? Round your answer to 3 decimal places.) 12 x milligrams (b) How many times must Juan repeat the measurement to reduce the standard deviation of x to 97 16 v times Explain to someone who knows no statistics the advantage of reporting the average of several measurements rather than the result of a single measurement The average of several measurements will always be an unbiased estimate of the mean. Taking several measurements reduces the likelishood of reporting error The result of a single measurement will never be close to the mean. . The average of several measurements is more likely than a single measurement to be close to the mean

Explanation / Answer

Standard deviation of the mean after averaging 3 measurements would be equal to the population standard deviation divided by sqrt(3) or 36/sqrt(3)=20..785

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