Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm.

L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9

a) What are the mean and standard deviation of this data sample?

b) What is the uncertainty of the mean?

c) Report the measured value of L.

d) What is the relative discrepancy between the measured value of L and its true value?

Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm.

e) Is this value more or less precise than the first value?

f) Is this value more or less accurate than the first value?

g) Do the two values agree given their uncertainties?

h) What is the relative discrepancy between the two values?

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