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# The Kilogram is now weighed five times on a different ISBN: 9780073401331 38

## Solution for problem 8E Chapter 3.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 8E

The Kilogram is now weighed five times on a different scale. The measurements are as follows, in units of micrograms above 1 kg: 25.6, 26.8, 26.2, 26.8, 25.4.

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.

Step-by-Step Solution:

Step 1 of 3:

The  weight of 5 measurements in units of micrograms above 1kg is given as 25.6, 26.8, 26.2, 26.8, 25.4(micrograms).

We have to check

Is it possible to estimate the uncertainty in the measurements.Is it possible to measure the bias in this measurements.

Step 2 of 3:

Yes , uncertainty can be  estimated as the standard deviation of 5 measurements.Let  , .., are independent measurements of 1 kg in units of micrograms above 1kg on the new scale.

First we have to compute the sample mean =  =  = (25.6 + 26.8+ 26.2+ 26.8 +25.4)

=    26.16 .

Now we have to find the uncertainty of this estimate that will the standard deviation of the sample.

Sample deviation

S   = = =    0.65 .

So the uncertainty in the measurement is 0.65 .And the estimate of mean is (26.16  .

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 8E from 3.1 chapter was answered, more than 942 students have viewed the full step-by-step answer. The answer to “The Kilogram is now weighed five times on a different scale. The measurements are as follows, in units of micrograms above 1 kg: 25.6, 26.8, 26.2, 26.8, 25.4.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.” is broken down into a number of easy to follow steps, and 66 words. The full step-by-step solution to problem: 8E from chapter: 3.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: estimate, measurements, these, explain, Now. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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