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(16.14) A laboratory scale is known to have a standard deviation of = 0.001 gram

ID: 3180250 • Letter: #

Question

(16.14) A laboratory scale is known to have a standard deviation of = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. Three weighings of a specimen on this scale give 3.412, 3.416, and 3.414 grams.

Another specimen is weighed 8 times on this scale. The average weight is 4.1602 grams. A 99% confidence interval for the true weight of this specimen is


4.1602 0.00069. 4.1602 0.00091. 4.1602 0.00032. eBook

Explanation / Answer

Here it is given that sd=0.001 and z value =2.578

So Margin of Error=E=z*sd/sqrt(n)=2.578*0.001/sqrt(8)=0.00091

So answer is 41602+/-0.00091