Chapter 6 HW

# Chapter 6 HW - From Text book 1 Exercise 6.3(a(b(Use JMP to...

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From Text book 1. Exercise. 6.3 (a), (b) (Use JMP to generate samples) Solution. In general, the agreement between the theoretical distributions and the simulated samples will improve with an increase in the sample size. However, the random variability will provide exceptions to this particularly when the sample size is small. There should be no marked differences in this trend between the 3 distributions for this exercise. (a) The standardized normal distribution. Normal at 50 values -range: 5.6521 -median=:0.0658 -mode: -0.11281 -xbar: -0.1128 - s 2 : 1.3422 -b1: 0.1561 -b2: 3.1557 Normal at 100 values - range: 4.6844 - median: -0.0042 - mode: -0.099941 - xbar: -0.0999 - s 2 : 0.9919 - b 1 : 0.1655 - b 2 : 2.9498

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- range: 5.3496 - median: -0.00166696849807625 - mode: -0.0142956 - xbar: -0.0143 - s 2 : 1.0254 - b 1 : 0.0212 - b 2 : 2.9455 Normal at 400 values - range: 6.1732 - median: -0.0190 - mode: -0.00582 - xbar: -0.0058 - s 2 : 1.0043 - b 1 : 0.0209 - b 2 : 3.3374 (b) The gamma distribution with r = 2 and λ = 2 Gamma at 50 values - range: 4.5670 - median: 0.9700 - xbar: 1.1191 - s 2 : 0.6831 - b 1 : 2.7538 - b 2 : 7.4226 Gamma at 100 values
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## This note was uploaded on 05/13/2010 for the course ME 08697 taught by Professor Barnes during the Spring '10 term at University of Texas.

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Chapter 6 HW - From Text book 1 Exercise 6.3(a(b(Use JMP to...

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