A new and unknown weight is weighed on the same scale that was used in Exercise 8, and the measurement is 127 µg above 1 kg. Using the information in Exercise 8, is it possible to come up with a more accurate measurement? If so, what is it? If not, explain why not.
Step 1 of 2:
A new unknown weight is weighted in micrograms, and the measurement is 127 above 1 kg. And the previous measurements are 25.6, 26.8 , 26.2 , 26.8 , 25.4 above 1 kg.
We have to find is it possible to find a more accurate measurement from this given data.
Step 2 of 2:
Let , , .., are the independent measurements in micrograms that above 1 kg.
We have to find the sample mean
= (25.6+ 26.8 +26.2 +26. 8+ 25.4 +127 )
The uncertainty of the estimate is the sample deviation
So the uncertainty in the measurement is 41.180.And the estimate of mean is