# hw5 - ME 365 Homework Set 5 Out September 22 2011 Due...

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ME 365 Homework Set 5 Out September 22 , 2011 Due September 29, 2011 Problem No. 1 Each member of a class of 50 students is given a piece of the same metal (or what is said to be the same metal) and told to find its density. From the 50 results the mean and the standard deviation are calculated. Given the following tabulation of the observed number of values within each internal, Bin k Values of in bin k Observations O k in bin k 1 Below 12 2 Between and 13 3 Between and 11 4 Above 14 (a) Determine 2 assuming a Gaussian distribution. (b) State your reasons for either accepting or rejecting the Gaussian hypothesis.

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ME 365 Homework Set 5 Out September 22 , 2011 Due September 29, 2011 Problem No. 2 Given: A thermocouple can be modeled as a first order system with a time constant 0.003s and a sensitivity 0.05 V/ C. When doing an experiment with the thermocouple, Lisa noticed that at 0 C the output was 6mV and not 0mV as she had expected.
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