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assume we obtain the following set of measurements of some quantity of interest x: 65, 64, 63, 67, 59, 60, 62, 61, 62, 64 then the best estimate for x (the sample mean) is 62.7, and the sample standard deviation is 2.41. calculate the uncertainty of the best estimate. round your answer to two (2) decimal places for entry into canvas. do not enter units. example: 1.23

User Oramas
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Final answer:

The uncertainty of the best estimate for a quantity x given the standard deviation and number of measurements is calculated as the standard error of the mean, which is approximately 0.76 in this case.

Step-by-step explanation:

The uncertainty of the best estimate for a set of measurements in statistics is often represented by the standard error of the mean (SEM). In this scenario, we are given a set of measurements for a quantity of interest x, from which we have calculated the sample mean as 62.7 and the sample standard deviation as 2.41. The standard error of the mean can be calculated using the formula SEM = s / √n, where 's' is the sample standard deviation and 'n' is the number of observations in the sample. In this case, 'n' is 10 since there are 10 measurements.

SEM = 2.41 / √10 ≈ 2.41 / 3.162 ≈ 0.76 (rounded to two decimal places).

Therefore, the uncertainty of the best estimate for quantity x is approximately 0.76, rounded to two decimal places for entry into Canvas.

User Dreampuf
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