1) The following 25 measurements were taken of the thickness of steel emerging f
ID: 3074820 • Letter: 1
Question
1) The following 25 measurements were taken of the thickness of steel emerging from a rolling mill. 3.97 3.99 4.04 4.00 3.98 4.03 4.00 3.98 3.99 3.96 4.02 3.99 4.01 3.97 4.02 3.99 3.95 4.03 4.01 4.05 3.98 4.00 4.04 3.98 4.02 5) The resolution of the instrument that measured the steel thickness is 0.01. Because of the way in which error tables are presented, esimtation of the number of measurements in a particular error band is likely to be closer to the real number if the boundaries of the error band are chosen to be between measurement values. Test this hypothesis out by esti a) How many are K3.955? c) H How do these estimates compare to the real data? measurements areExplanation / Answer
Question 5
(A) Number of measurements which are less than 3.995 are = 3.97, 3.99, 3.98, 3.98, 3.99, 3.96, 3.99, 3.97, 3.99, 3.95, 3.98, 3.98 = 12
(B) Number of measurements are < 3.955 = 3.95, = 1
(C) measurements between 3.975 and 4.025 are = 3.99, 4.00, 3.98, 4.00,3.98,, 3.99, 3.96, 4.02, 3.99,, 4.01, 4.02, 3.99, 4.01, 3.98, 4.00, 3.98, 4.02 = 17
(D) Here these estimates are identical as compared to real data, not much difference.
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