A student measures the length of his test paper with a ruler for 5 times because his/ her instructor asks him/her to do so. The observations done by the student were 29.72cm, 29.73cm, 29.71cm, 29.71cm, and 29.72cm. He also measured the width of the paper four times and the observations were 21.10cm, 21.13cm, 21.08cm, and 21.00cm. a. What is the most probable value (MPV and Probable Error) of the length and width of the paper? b. What is the relative precision (using Probable Error and MPV) of length? Width of the paper? c. What is the most probable value (MPV and Probable Error) of the area of the paper? d. If the true length of the paper is 29.5cm, is the ruler too long or too short?
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A student measures the length of his test paper with a ruler for 5 times because his/ her instructor asks him/her to do so. The observations done by the student were 29.72cm, 29.73cm, 29.71cm, 29.71cm, and 29.72cm. He also measured the width of the paper four times and the observations were 21.10cm, 21.13cm, 21.08cm, and 21.00cm.
a. What is the most probable value (MPV and Probable Error) of the length and width of the paper?
b. What is the relative precision (using Probable Error and MPV) of length? Width of the paper?
c. What is the most probable value (MPV and Probable Error) of the area of the paper?
d. If the true length of the paper is 29.5cm, is the ruler too long or too short?
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