Nine independent measurements are made of the length of a ro

Nine independent measurements are made of the length of a rod. The average of the nine measurements is xbar = 5.238 cm, and the standard deviation is s = 0.081 cm.

a. The uncertainty in the value 5.238 cm is:

b. Another rod is measured once by the same process. The measurement is 5.423 cm. The uncertainty in this value is:

Please show detailed steps, I know the answers I just cannot figure out how to get there! Thanks!

Solution

Nine independent measurements are made of the length of a rod. The average of the nine measurements is xbar = 5.238 cm, and the standard deviation is s = 0.081

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