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Measurement Science - Assignment 3

# Measurement Science - Assignment 3 - SUR 3520 Measurement...

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SUR 3520: Measurement Science Spring 2007 – Section 4218 Assignment No. 3 Due Date: February 5, 2007 Student UFID: 62441221 Student Name: Shane Christy N.B. Use tables in appendix D for the different distribution calculations. 3.1 Determine the values of χ 2 α /2 that would be used to construct confidence intervals for a population variance for the following combinations: a. α = 0.10, v = 25 .10/2 = .05 Critical values of 2 ) 25 , 95 (. 2 ) 25 , 05 (. , x x = 37.65, 14.61 b. α = 0.05, v = 15 .05 / 2 = .025 Critical values of 2 ) 15 , 0975 (. 2 ) 15 , 025 (. , x x = 27.49, 6.26 3.2 Determine the values of t α /2 that would be used to construct confidence intervals for a population mean for the following combinations: a. α = 0.10, v = 25 .10 / 2 = .05 Critical values of ) 25 , 05 (. t =1.708 b. α = 0.05, v = 15 .05 / 2 = .025 Critical values of ) 15 , 025 (. t =2.131 3.3 Determine the values of F α /2 that would be used to construct confidence intervals for a ratio of two population variances for the following combinations: a. α = 0.20, v 1 = 24, v 2 = 2 .20 / 2 = .10 Critical values of ) 24 , 2 , 10 (. ) 2 , 24 , 10 (. , F F =2.54, 9.45 b. α = 0.01, v 1 = 15, v 2 = 8 .01 / 2 = . 005 Critical values of ) 15 , 8 , 005 (. ) 8 , 15 , 005 (. , F F = 6.81, 4.67 University of Florida Geomatics – SFRC

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SUR 3520: Measurement Science Spring 2007 – Section 4218 3.4 A least squares adjustment is computed twice on a data set. When the data is minimally-constrained with 10 degrees of freedom, a variance of 1.07 is obtained. In the second run, the fully-constrained network has 12 degrees of freedom with a standard deviation of 1.53. The a priori estimate for the reference variances in both adjustments are 1; that is, σ 1 = σ 2 = 1.
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Measurement Science - Assignment 3 - SUR 3520 Measurement...

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