# engineering seminar homework 7

| January 13, 2016

Freshman Engineering Seminar Homework 7: Statistical Analysis This assignment will be due at the beginning of class on Wednesday, 4 November 2015 NOTE: For each problem below, you can either solve the problem using a computer programming language/application OR you can solve the problem by hand on engineering paper. Part 1 Optional Read ‘Cosmic Web’ or Cosmic Electricity Grid: Observations on the largescale structure of the Universe over the past decades have given rise to the notion of the ‘cosmic web’, which is nothing if not the cosmic electricity grid of the Electric Plasma Universe Dr Mae-Wan Ho (ISIS Report 19/10/15) [http://www.i-sis.org.uk/Cosmic_Web_or_Cosmic_Electricity_Grid.php] Part 2 Required The following information is for Problems 1 and 2: 100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows: 45 measurements were between 0.859 and 0.900 0.901 was observed once 0.902 was observed three times 0.903 was observed twice 0.904 was observed four times 45 measurements were between 0.905 and 0.958 The smallest value was 0.859, and the largest value was 0.958. The sum of all 100 measurements was 91.170. Except those noted, no measurements occurred more than twice. *1) What is the mean of the measurements? *2) What is the mode of the measurements? \$ 3) Muscle fatigue can be measured by means of the frequency spectrum, related to standard deviation, of electrical signals recorded from the muscle. The following is a list of values (in arbitrary units) for the myoelectric signal during isokinetic knee extension using the rectus femoris muscle. Compute the standard deviation of the bold values (by hand) OR all of the values (by computer program). 0.35 0.15 0.70 -0.65 0.28 -0.10 -0.25 -0.24 -0.80 0.16 -0.35 -0.03 -0.10 0.15 0.04 0.00 0.04 0.00 -0.10 -0.13 0.50 0.25 0.08 0.06 0.08 -0.23 0.22 0.01 0.08 0.01 1 of 3 @ 4) A student received grades 75, 85, 80 and 73 on homework assignments and a final exam grade of 68. If the final exam grade is weighted 4 times that of the homework assignments, what is the student’s mean score? 5) What is the sample variance in cfs? [Use the bold values if calculating by hand OR use all values if done by computer program.] ^ USGS 03431599 WHITES CREEK NEAR BORDEAUX, TN Agency ID Site Number Date Discharge, cubic feet per second Provisional data subject to revision USGS 03431599 2013-06-01 18 P USGS 03431599 2013-06-05 11 P USGS 03431599 2013-06-07 7.0 P USGS 03431599 2013-06-09 11 P USGS 03431599 2013-06-11 28 P USGS 03431599 2013-06-15 2.5 P USGS 03431599 2013-06-17 101 P USGS 03431599 2013-06-21 6.6 P USGS 03431599 2013-06-25 1.7 P USGS 03431599 2013-06-30 0.49 P Homework Guidelines Follow the Problem Solving format discussed in class For the problems using computer code, provide me with the input (your computer code) and output (answer). Write neatly SHOW YOUR WORK 2 of 3 * Question source: Lindeburg, PE, M. R., EIT Review Manual, Belmont, California: Professional Publications, Inc., 1996. @ Question source: PPI, 2012, “Online FE Exam / EIT Exam Study Guide, Organized to NCEES Handbook”, , Accessed: 8 September 2013. \$ Question source: Johnson, Arthur T., Biology for Engineers, New York, New York: CRC Press, 2011, p. 218. ^ Data source: Unites States Geological Survey (USGS), Sunday, December 1, 2013, “USGS Current Conditions for USGS 03431599 Whites Creek near Bordeaux, TN”, , Accessed: 01 December 2013. Works Cited Johnson, Arthur T., Biology for Engineers, New York, New York: CRC Press, 2011, p. 218. Lindeburg, PE, M. R., EIT Review Manual, Belmont, California: Professional Publications, Inc., 1996. PPI, 2012, “Online FE Exam / EIT Exam Study Guide, Organized to NCEES Handbook”, , Accessed: 8 September 2013. Unites States Geological Survey (USGS), Sunday, December 1, 2013, “USGS Current Conditions for USGS 03431599 Whites Creek near Bordeaux, TN”, , Accessed: 01 December 2013.

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