This exercise continues Exercise 9 in the Supplementary Exercises for Chapter 3. The article "Insights into Present-Day Crustal Motion in the Central Mediterranean Area from GPS Surveys" (M. Anzidei, P. Baldi, et al., Geophysical Journal International, 2001:98-100) reports measurements of the velocity of the earth's crust in Zimmerwald, Switzerland. The component of velocity in a northerly direction was measured to be X = 22.10, and the component in an easterly direction was measured to be Y = 14.30, where the units are mm/year. The uncertainties in the measurements were given as σx = 0.34 and σy = 0.32.
a. Compute the estimated velocity V of the earth's crust, based on these measurements. Use the method of propagation of error to estimate its uncertainty.
b. Assuming the estimated velocity to be normally distributed, find the P-value for the hypothesis H0:μv≤ 25.
c. Assuming that the components of velocity in the northerly and easterly directions are independent and normally distributed, generate an appropriate simulated sample of values V*. Is it reasonable to assume that V is approximately normally distributed?
Chapter T wo: Measurement, Problem Solving, and the Mole Concept Thursday, September 1, 2016 8:40 PM 2.1: "The Metric Mix-Up: A $125 Million Unit Error" Basically a mars weather monitor failed because they mixed up units. Units are critical 2.2: "The Reliability of Measurement" Reliability depends on the instrument used to measure More digits in measurement = more reliability o Scientists do this on purpose to reflect reliability of instrument o Uncertainty is in the last recorded digit (+/- 1) Accuracy: how close the measured value is to the actual value Precision: how close the measured values are to each other or how reproducible they are Random Error: error that has equal probability of being too hi
