Is it possible to estimate the bias in these measurements?

1.   A person gets on and off a bathroom scale four times. The four readings (in pounds) are 148, 151, 150, and 152. Each time after the person gets off the scale, the reading is 2 lb.

 

a.  Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.

b.  Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.

 

2.   In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micro-grams above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7.

 

a.   Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.

b.  Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.

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