Engineering > QUESTIONS & ANSWERS > ENGR 4230/6230, Spring 2019 Solutions Problem Set 2: Measurement and Statistics. Questions and An (All)

ENGR 4230/6230, Spring 2019 Solutions Problem Set 2: Measurement and Statistics. Questions and Answers. All Solutions-Working Shown. 100%.

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ENGR 4230/6230, Spring 2019 Solutions Problem Set 2: Measurement and Statistics 1. (10 points) For a very large set of data, the measured mean is found to be 309.1 with a standard deviation o... f 17.5. Assuming the data to be normally distributed, determine the range within which 75% of the data are expected to fall. 2. (15 points) From long-term plant maintenance data, it is observed that pressure downstream from a boiler in normal operation has a mean value of 332 psi with a standard deviation of 35psi. What is the probability that the pressure will exceed 360 psi during any one measurement in normal operation? 3. (15 points) As the head of the quality control department at Ted’s Bread Company, you have determined, from 295 measurements, that the average mass of a loaf of bread is 39g. The standard deviation of the measurements is s = 27g. At the 98% confidence level, what is range of the true average? ̅ { 4. (20 points) For the probability density function ( ⁄ ) (a) (6 points) Find the constant A. (A will be a function of h.) (1 points) (b) (7 points) Calculate the mean, µ. ∫ (2 points) ∫ ( ⁄ ) ∫ ( ⁄ ) [ ] (5 points) (c) (7 points) Calculate the standard deviation, σ. ∫ (2 points) ∫ ( ⁄ ) ∫ ( ⁄ ) ∫ ( ) [ ] Therefore (5 points) √ 5. (a) (15 points) A 47kΩ resistor is in parallel with a 12kΩ resistor. Each resistor has a ±10% tolerance. What will be the nominal resistance and the uncertainty of the combination? (b) (10 points) If the values remain the same except that the tolerance on the 47kΩ resistor is dropped to ±5%, what will be the uncertainty of the combination? 6. (15 points) The force deflection data for a spring are given in the following table. Do a least squares fit to determine the slope and intercept. The uncertainty in the slope of the fit is given ∑ by the formula . What are the spring constant and the uncertainty in this ∑ ∑ value as determined by the fit? You can use Matlab, LabView or another program to calculate the fit and uncertainty (attach your program with your solutions). (5 [Show More]

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