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 )

= 42.96

The uncertainty of the estimate is the sample deviation

S =

=

= 41.180

So the uncertainty in the measurement is 41.180.And the estimate of mean is