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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 6.15 - Problem 9e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 6.15 - Problem 9e

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# This exercise continues Exercise 9 in the Supplementary

ISBN: 9780073401331 38

## Solution for problem 9E Chapter 6.15

Statistics for Engineers and Scientists | 4th Edition

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Problem 9E

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?

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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

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