Sample-Exam-Spring2011

Sample-Exam-Spring2011 - SAMPLE FINAL EXAM BME 125:315:...

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1 SAMPLE FINAL EXAM BME 125:315: Measurement and Analysis Laboratory Name: _____________________________ Section: ______ Closed notes, close notes Measurement and uncertainty 1) You have just made 100 measurements of a quantity A, and 10,000 measurements of a quantity B. after plotting the distribution of all the measurements for each quantity, you want to know what the mean is. Which definition is correct for the mean X of the distribution if N is the number of measurements and the sum Σ is from 1 to N? O (1/N) Σ x i O (1/N) Σ x i 2 O (1/N) ( Σ x i 2 ) 1/2 O (1/N 1/2 ) ( Σ x i 2 ) 1/2 2) When you know the mean X, what is the standard deviation S? O S = (N-1) -1 Σ (x i – X) O S = (N-1) -1/2 [ Σ (x i – X) 2 ] 1/2 O S 2 = (N-1) 2 [ Σ (x i – X) 2 ] O S 2 = (N-1) 2 [ Σ (x i 2 – X 2 )] 3) Now that you have the standard deviation of the distribution, what is the error in the mean of the distribution, S m ? O S m = S/N O S m = (S/N) 1/2 O S m = S/(N) 1/2 O S m = (S) 1/2 /N 4) Going back to the original measurement, if S a and S b are the standard deviation for the independent measurements of A and B, respectively, what is the standard deviation for the quantity A – B (i.e. the difference of two sets of measurements)? O S a -S b O S a +S b O (S a 2 – S b 2 ) 1/2 O (S a 2 + S b 2 ) 1/2 5) If you make 100 measurements: O the uncertainty of each measurement will be reduced as compared with an experiment in which you make only 10 measurements. O the uncertainty of the mean will be reduced as compared with an experiment in which you make only 10 measurements. O both 6) Suppose you measure the motion of a ball flying through the air. If you want to evaluate the speed in meters per second using a stopwatch that is accurate to within 5% and a meterstick that you can measure distances with an accuracy of 10%, will the ultimate accuracy be (choose one): (O) within 5%? (O) within 10%? (O) between 5% and 10%? (O) more than 10%? (O) we can't tell from the information given? ************************************************************************
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2 ECG, Respiratory and Evoked Potential 1) Emphysema is related to O Inspiratory flow limitation O Expiratory flow limitation O Respiratory Dead Space O Airway collapse 2) What type of filter did you use to remove power line interference from your Labview ECG recordings? O Low pass O High Pass O Band-stop O Band-pass 3) In your laboratory measurements of EEG’s, you saw noisy signals that you identified as alpha or beta waves. If you had seen a single synchronized wave, would this indicate: O That external noise signals (e.g. from electronic interference) had been shielded, providing a better signal from the brain. O That the patient had fallen asleep
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Sample-Exam-Spring2011 - SAMPLE FINAL EXAM BME 125:315:...

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