cee291_10_sp_exam2_prep_sol2

cee291_10_sp_exam2_prep_sol2 - Exam 2 Prep Spring 2010...

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Exam 2 Prep Spring 2010 Problem 1 The resistance of a thermoresistor in water is measured six times. The six measurement values were: 24.991Ω, 25.047Ω, 25.088Ω, 25.015Ω, 25.133Ω, and 24.940Ω. Determine the 90% confidence interval of the mean resistance of the measurement. Solution: = . + . + . + . + . + . = . x 24 991 25 047 25 088 25 015 25 133 24 9406 25 031Ω = . - . + . - . + . - . + . - . + . - . + . - S 24 991 25 0312 25 047 25 0312 25 088 25 0312 25 015 25 0312 25 133 25 0312 24 940 . . = . 25 031250 5 0 0397Ω = ± / = . ± . * . = . . μ x tα 2Sn 25 031 2 015 0 03976 25 064Ω to 24 998Ω Problem 2 A force measurement system has the elemental errors below, expressed as standard deviations of their associated 95% CI. The system is used in an environment where the temperature varies between 50 and 95°F. At a temperature of 75°F and force of 35lb, estimate the overall instrument error for this system. Range
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cee291_10_sp_exam2_prep_sol2 - Exam 2 Prep Spring 2010...

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