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 directionwas 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 X 0 34 and Y 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 V 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

Question: 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

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 directionwas 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?

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